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References 2004-2005


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これまでに印刷した論文または参考文献の一覧を作成する。
Axx,Bxxは紙フォルダの名前である。

A26

  1. Williem Stein, "An Explicit Approach to Elementary Number Theory", Harvard Univ., MATH 124, 2001, p1-167.
  2. Alfred J. van der Poorten, "Introduction to Number Theory (AMSI Summer School, 2004)", Jan 13, 2004, p1-18.
  3. Takeshi Goto, "Calculation of Selmer groups of elliptic curves with a rational 2-torsion", p1-10.
  4. Tauno Metsankyla, "Catalan's Conjecture: Another Old Diophantine Problem Solved", 2003, p1-15.
  5. Mark Watkins, "Class Numbers of Imaginay Quadratic Fields", Oct 2, 2003, Math.Comp., p1-32.
  6. Mgr. Daniela Krizova, "Heron triangles and Heron's Formula", Sep 2003, p158-161.
  7. W.L.MacDaniel, "Perfect Squares in the Sequence 3,5,7,11,...", Portugaliae Mathematica, Vol.55, No.3, 1998, p349-353.
  8. Ming Luo, "Pentagonal Numbers in the Lucas Sequence", Portugaliae Mathematica, Vol.53, No.3, 1996, p325-329.
  9. Swinnerton Deyer, "Diophantine Equations: Progress and Problem", Oct 2, 2003, Math.Comp., p1-33.
  10. J. Mc Laughlin, "Small Prime Powers in the Fibonacci Sequence", Dec 13, 2000, p1-22.
  11. Jon\'e Morgado, "Note on the Chebyshev Polynomiials and Applications to the Fibonacci Numbers", Portugaliae Mathemactica, Vol.53, No.3, 1995, p363-378.
  12. Jing Yu, "On Arithmetic Of Hyperelliptic Curves", p1-21.

A27

  1. T. N. Shorey, "Mathematical Contributions", p1-37.
  2. J\"orn Steuding, "Diophantine Analysis", March, 2003, p1-79.
  3. Peter L. Montgomery, "A Survey of Modern Integer Factorization Algorithms", p1-36.
  4. R. Tijdeman, "Some application of diophantine approximation", p1-26.
  5. P. Moree, C. L. Stewart, "Some Ramanujan-Nagell equations with many solutions", p1-11.
  6. N. P. Smart, "Determining the Small Solutions to S-unit Equations", p1-13.
  7. Joseph H. Silverman, "Exceptional Units and Numbers of Small Mahler Measure", p1-15.
  8. J. H. Evertse, P. Moreee, C. L. Stewart, R. Tijdeman, "Multivariate Diophantine equations with many solutions", p1-27.
  9. A. J. van der Poorten, "Obituary Kurt Mahler, 1903-1988", p1-38.
  10. Christian Elsholtz, "Sums of k Units Fractions", April 11, 2001, p1-19.
  11. Jean-Franc\,ios Mestre, "Curves with many points", Nov. 25, 1988, p1-87.

A28

  1. T. N. Shorey, "Approximations of algebraic numbers by rationals: A thoerem of Thue", 1991, p1-21.
  2. Myung-Hwan Kim, "Unsolved Problems in Number Theory", p1-12.
  3. Jeffrey P. Wheeler, "The abc Conjecture", Aug 2002, thesis, p1-49.
  4. Henri Darmon, Andrew Granville, "On the equations $z^m=F(x,y)$ amd $Ax^p+By^q=Cz^r$", Jan 23. 1994, p1-33.
  5. Noam D.Elkies, Mark Watkins, "Elliptic curves of large rank and small conductor", Mar 29. 2004, p1-16.
  6. Brendan Hassett, Yuri Tschinkel, "Density of integral points of algebraic varieties", July 39, 2000, p1-32.
  7. Michaelmas and Hilary terms 1998-1999, "Equal sums of powers", p1-33.
  8. Ezra Brown, Bruce T. Myers, "Elliptic Curves from Mordell to Diophantus and Back", Aug-Sep 2002, p639-649.
  9. Michael Stoll, John Cremona, "On the reduction theory of binary forms", Nov 19, 2002, p1-20.
  10. Yann Bugeaud, "Lower bounds for the greatest prime factor of $ax^m+by^n$", p1-5.
  11. Yann Bugeaud, K\'alm\'an Gy\"ory, "On binomial Thue-Mahlar equations", p1-10.
  12. Yann Bugeaud, Maurice Mignotte, Samir Siksek, "Classical and modular approached to exponential Diophantine equations I. Fibonacci and Lucas perfect powers", March 2, 2004, p1-42.
  13. Florian Luca, "Fibonacci Numbers, Lucus Numbers and Orders of Finite Simple Groups", p1-19.
  14. Florian Luca, "Arithmetic properties of members of a binary recurrent sequence", p1-23.
  15. Jeekwan Lee, Iftikhar Burhanuddin, "Point Counting Algorithms - A Survey", May 4, 2002, p1-10.
  16. P. Gaudry, \'E. Schost, "Modular equations for hyperelliptic curves", July 15, 2002, p1-25.
  17. Yaacov Kopeliovich, J. R. Quine, "On the Curve $X(9)$", p1-10.
  18. Tom Weston, "The Euler system of Heegner points", p1-24.

A29

  1. J. William Hoffman, "Topics in Ellitic Curves and Modular Forms", Sep 28, 2001, p1-17.
  2. Benedict H. Gross, "An elliptic curve test for Mersenne primes", p1-10.
  3. A. O. L. Atkin, D. J. Bernstein, "Primes sieves using binary quadratic forms", March 29, 2003, p1-8.
  4. J. William Hoffman, "Topics in Ellitic Curves and Modular Forms", Sep 28, 2001, p1-17.
  5. Kiran S. Kedlaya, "Solving constrained Pell equations", Math of Comp, Vol 67, No.222, 1998, p833-842.
  6. \'Edouard Lebreau, "Nombres irrationals, nombres transcendants", Le journal de maths des eleves, Vol.1, No.3, 1995, p128-133.
  7. Bogdan Nica, "$\zeta(3)$", Winter 2002, p1-12.
  8. Thomas J. Osler, Brian Seaman, "A Computer Hunt for Apery's Constant", April 4, 2002, p1-17.
  9. St\'ephane Fischler, "Measure d'irrationalit\'e de $\zeta(2) et \zeta(3)$", Juin 14, 2002, p1-6.
  10. Peter Borwein, Tam\'as Erd\'elyi, John Zhang, "Orthgonality and irrationality", May 6, 1999, p1-10.
  11. Franz Lemmermeyer, "Higher Descent on Pell conics. I. From Legendre to Selmer", p1-19.
  12. Franz Lemmermeyer, "Higher Descent on Pell conics. II. Two centuries of missed opportunities", p1-11.
  13. Henri Hohen, "Generalisation d'uneconstruction de R. Apery", Bulletin de las S.M.F., tome 109(1981), p269-281.
  14. Wadim Zudielin, "An elementary proof of Ap\'ery's theorem, Feb 17, 2002, p1-8.
  15. Travis Sherman, "Summation of Glaisher- and Ap\'ery-like Series", May 23, 2000, p1-34.
  16. Gert Almjvist, Andrew Granville, "Borwein and Bradley;s Ap\'ery-like formulae for $\zeta(4n+3)$", Exprimental Mathematics, Vol.8(1999), No.2, p197-203.
  17. Tewodros Amdeberhan, "Faster and faster convergent series for $\zeta(3)$", April 8, 1996, p1-2.
  18. Jonathan Sondow, "Double integrals for Euler's constant and ln${4 \over \pi}$", Aug 20, 2003, p1-2.
  19. A. J. Van der Poorten, "Power series representing algebraic functions", p1-19.
  20. Hua-Huai Chern, Hsuen-Kuei Hwang, "Limit distribution of the number of consecutive records", Feb 3, 2004, p1-11.
  21. Keith Bell, Tanguy Rivoal, "Irrationalit\'e d'une infinte de valeurs de la fonction z\^eta aux entiers impairs", p1-17.
  22. Felice Kuan, "Digit Distribution in the Continued Fraction of $\zeta(n)$s", Feb. 13, 2003, p1-15.
  23. Tanguy Rivoal, "Valeurs aux entiers de la fonction z\^eta de Riemann", p1-11.
  24. Volker Strehl, "Binomial Sums and Identities", p1-13.
  25. Tanguy Rivoal, "S\'eries hyperg\'eom\'etriques et irratioalit\'e des valeurs de la fonction z\^eta de Riemann", Journal de Th\'erie des Nombres de Bordeau 15(2003), p351-365.
  26. Scott Ahlgren, Peter Paule, Carsten Scheneider, "Computer Proof of a New Family of Harmonic Number Identities", p1-21.
  27. 片山 喜美, "数学, Cとその周辺についてのメモ", p1-50.
  28. Doron Zeilberger, "Computerized Deconstruction", p1-21.
  29. Jonathan M. Borwein, "Computational Strategies for the Riemann Zeta function", Oct 30, 1999, p1-68.
  30. Karl Rubin, Alice Silverberg, "Ranks of elliptic curves", p1-20.
  31. Edray Herber Goins, "Explicit descent via 4-iosgeny of an elliptic curves", p1-20.
  32. Andrew John Wiles, "Modular elliptic curves and Fermat's Last Theorem", Annals of Math., 141(1995), p445-552.

A30

  1. Nicolas Brisebarre, "A=B Preuves automatiques de certaines identit\'es, d'apr\`es M. Petkov\v sek, H, Wilf et D. Zeilberber", May 6, 2003, p1-62.
  2. Marko Petkov\v sek, Herbert S. Wilf, Doron Zeilberger, "A=B", April 27, 1997, p1-210.
  3. Franz Lemmermeyer, "Algebraic Geometry", Lecture Notes, 2004.
  4. Noah Snyder, "An Alternate Proof of Mason's Theorem", Elem. Math, 55(2000), p93-94.
  5. Franz Lemmermeyer, "Topics in Algebraic Geometry: Elliptic Curves", Lecture Notes, 2004.
  6. Capi Corrales Eodrig\'a\~nez, "p-Adic Numbers and non-Archimedean Valuations", p49-62.
  7. Catherine Goldstein, "Some Applications of p-adic Points of View to Elliptic Curves", p77-97.
  8. John T. Tate, "The Arithmetic of Elliptic Curves", Inventiones of Math., 23(1974), p179-206.
  9. Norbert Schappacher, Ren\'e Schoof, "Beppo Levi and the arithmetic of elliptic curves", March 27, 2004, p1-18.
  10. John Baez, "This Week's Finds in Mathematical Physics - Week", p1-10.
  11. 寺井 伸浩, "Backer理論の指数型不定方程式への応用", p1-8.
  12. Preda Mih\v ailescu, "A Class Number Free Criterion For Catalan's Conjecture", p1-5.
  13. Preda Mih\v ailescu, "On the Class Groups of Cyclotomic Extensions in Presence of a Solution to For Catalan's Equation", Dec 19, 2002, p1-15.
  14. Preda Mih\v ailescu, "On the Relative Class Groups of Cyclotomic Extensions in Presence of a Solution to For Catalan's Equation", July 16, 2002, p1-14.
  15. Preda Mih\v ailescu, "Primary Cyclotomic Units and a Proof of Catalan's Conjecture", August 29, 2002, p1-24.
  16. Kenneth A. Ribet, "On the equation $a^p+2^\alpha b^p+c^p = 0$", p1-7.
  17. Luis V. Dieulefait, "Modular congruences, Q-curves, and the diophantine equation $x^4 + y^4 = z^p$", p1-8.
  18. Thomas Stoll, "Algorithmic Solution of Diophantine Equations", June 2001, p1-94.
  19. Joseph H. Silverman, "Common divisors of $a^n-1$ and $b^n-1$ over function fields", p1-7.
  20. Joseph Amal Nathan, "The diophatine equation ${{x^3}\over{3}}+y^3+z^3-2xyz=0$", p1-8.
  21. Luis V. Dieulefait, "Solving diophantine equations $x^4 + y^4 = qz^p$", June 11, 2004, p1-6.
  22. Noam D. Elkies, Nicholas F. Rogers, "Elliptic curves $x^3+y^3 = k$ of High Rank", p1-10.
  23. P. Stevenhagen, "Triangles, Squares, Oranges and Cuboids", Feb 25, 2002, p1-14.
  24. Safwan Akbik, "Thue Diophantine equation $Y(Y+m_1)(Y+m_2)(Y+m_1+m_2) = 2(X+m_1)(X+m_2)(X+m_1+m_2)$", p1-14.
  25. Allan J. MacLeod, "Parametric Expressions for Integer Equilateral Triangles with a Point at ineteger distance from Each vertex (I)", May 21, 2002, p1-8.
  26. Frits Beukers, "Consequences of Ap\'ery's work on $\zeta(3)$", May 9, 2003, p1-6.
  27. Arthur Baragar, Kensaku Umeda, "The asymptotic growth of integer solutions to the Rosenberger equations", May 21, 2003, p1-15.
  28. Antti Nygr\'en, "A Simple Solution to Archimedes' Cattle Problem", March 12, 2001, ISBN951-42-5932-7, p1-40.
  29. Bruce C. Brendt, Willian F. Galway, "On the Brocard-Ramanujan Diophantine Equation $n!+1=m^2$", p1-2.
  30. Noam D. Elkies, "Curves $Dy^2=x^3-x$ of add analytic rank", August 7, 2002, p1-8.
  31. 李 文卿, 余 文卿, "費馬最後定理: A.Wiles的解決方法", Chinese, p1-6.
  32. Avital Yehudit, Strauss-Benjamin, "Diophantine Equations", May 5, 2000, p1-9.
  33. 松野 一夫, "岩澤理論の楕円曲線の数論への応用", p1-22.
  34. Franck Lepr\'evost, Michael Pohst, Andreas Sch\"opp, "Rational torsion of $J_0(N)$ for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rrational point of order 5,7 or 10", p1-14.

A31

  1. Allan J. MacLeod, "Parametric Expressions For 3 Rational Distances From The Corners of A Square", p1-4.
  2. Allan J. MacLeod, "Computaional Approach Th An 'Unsolved Problems in Number Theory'", May 16, 2002, p1-11.
  3. Allan J. MacLeod, "On A Problem Of John Leech", p1-9.
  4. Allan J. MacLeod, "Numerical Values For Some Mathematical Constant 1", p1-9.
  5. Allan J. MacLeod, "Parametric Expressions For A 'Nearly-Perfect' Cuboid", p1-7.
  6. Allan J. MacLeod, "Parametric Expressions For A Cuboid With 2 Sides and All 4 Diagonals Integer", p1-7.
  7. 木村 巌, "Abel体の解析的類数公式", 2003, p1-25.
  8. 角皆 宏, "基本群に付随するGalois表現(入門まで)", 2003, p1-8.
  9. 福田 隆, "岩澤によるp-進L-関数の構成の応用(I) 岩澤不変量の決定", 2003, p1-7.
  10. 水沢 靖, "p-進L-関数の構成", 2003, p1-21.
  11. 田谷 久雄, "岩澤によるp進L関数の構成の応用(II) Ferrero-Washingtonの定理", 2003, p1-27.
  12. 山本 現, "STICKELBERGER元", 2003, p1-22.
  13. 尾崎 学, "岩澤主予想", 2003, p1-22.
  14. 青木 美穂, "岩澤主予想のEuler系による証明", 2003, p1-21.
  15. 岡野 恵司, "非可換岩澤理論の高次λ-不変量について", 2003, p1-11.
  16. 栗原 将人, "岩澤主予想の保型形式による証明", 2003, p1-20.
  17. Eric D.Manley, "On Quadratic solutions of $x^4+py^4=z^4$", p1-5.
  18. T.N.Shorey, "The generalised Ramanujan-Nagell equation", p1-8.
  19. Aleksander rytczuk, "Monoid connected with Euler's Diophantine equation", p1-4.
  20. 本美 奈々, 小谷 健司, "ディオファントス三角形", 2002, p1-2.
  21. 本美 奈々, "ディオファントス図形", 2002, p1-8.
  22. Mario P\'erez, Francisco J.Ruiz, "The Diophantine Equation $a^2+b^2 = c^n$ and the map $\Phi_n(z)=z^n$", p1-12.
  23. Yann Bugeaud, "Diophantine equations over the twentieth century: a (very) brief overview", p1-6.
  24. SZ. Tengely, "On the Diophantine equations Equation $x^2+a^2 = 2y^p$", 2000, p1-14.
  25. 山内 卓也, "$J_0(N)$のelliptic factorsと楕円曲線のrankについて", p1-9.
  26. M. K\"uhleitner, W.G. Nowak, "The average number of solutions of the Diophantine equation $U^2+V^2 = W^3$ and related arithmetic functions", p1-12.
  27. Rachel Car-el, Leonid Vaserstein, "On the Diophantine equation $a^3+b^3+c^3+d^3 = 0$", p1-5.
  28. Yu.F. Bilu, M. Kulkarni, B. Sury, "The Diophantine equation $x(x_1)\cdots (x+(m-1))+r = y^n$", 2000, p1-4.
  29. J.H.E. Cohn, "The Diophantine equation $x^n = Dy^2+1$", Acta Arithmetica 106.1, 2003, p73-83.
  30. Ajai Choudhry, "Equal sums of seventh powers", 2000, p1-4.
  31. 落合 理, "FERMATの最終定理と楕円曲線", p1-5.
  32. 落合 理, "不定方程式の整数解や有理数解--古くて新しい数学の問題--", 2004, August 2, p1-11.
  33. Artur Baragar, "The Markoff-Hurwitz Equations over Number Fields", 1991, p1-12.
  34. Rizos Sakellariou, "Solving Diophantine Equations on a Network of Workstations", p1-2.
  35. J.H.E. Cohn, "The Diophantine Equation $x^2+2^k=y^2$, II", 1998, p1-4.
  36. Garikai Campbell, "On the rank of elliptic curves with a rational point of order 4", 2000, p1-4.
  37. Maohua Le, "A conjecture concerning the exponential diophantine equation $a^x+b^y = c^z$", Acta Math. Vol.106, No.4, 2003, p345-353.
  38. Nils Bruin, "The Primitive Solutions to $x^3+y^9 = z^3$", Doct. 31, 2003, p1-17.
  39. A. J. van der Poorten, "Fermat's Last Theorem", 2000, p1-8.
  40. Fumio Hazama, "Twists and Generalized Zolotarev Polynomials", Pacfic J. of Math., Vol.203, No.2, 2003, p379-393.
  41. Paul E. Gunnells, "Diophantine Equations in Polynomials", Aug. 13, 2004, p1-10.
  42. John P. Robrtson, "Solving the equation $ax^2+bxycy^2+dx+ey+f = 0$", 2003, May 8, p1-19.
  43. Thomas Stoll, "Diophantine equations for orthogonal polynomials", Dec. 1, 2003, p1-7.
  44. Thomas Stoll, Robert F. Tichy, "Diophantine equations involving general Meixner and Krawtchouk polynomials", 2003, Oct 27, p1-9.
  45. Clements Heuberger, Alain Togb\'e, Volker ZIegler, "Automatic Solution of Families of Thue Equations and an example of Degree 8", 2000, p1-16.
  46. 金子 昌信, "楕円モジュラー関数j(τ)のフーリエ係数", 2001, Sep 3, p1-65.
  47. Clements Heuberger, "On a Conjecture of E. Thomas concerning parametrized Thue Equations", 2000, Aug. 3, p1-25.
  48. Michael Stoll, "Perspectives of Mathmatics: Module on Diophantine Equations and Geometry", 2004, Fall, p1-16.

A32

  1. Franz Winkler, "Advamces in Algebraic Geometric Computation", p107-120.
  2. Michel Laurent, "Totally Real Intergral Points on a Plane Algebraic Curve", 1991, p1-6.
  3. Yuri Bilu, "Effective Analysis of Integral Points on Algebraic Curves", thsis, 1993, p1-84.
  4. Francois Morain, "Implementation of The Atkin-Goldwassser-Kilian Primality Testing Algorithm", p1-101.
  5. Jan Nekov\'a\v r, "On the parity of ranks of Selmer Group II", Nov. 11, 2004, p1-7.
  6. Michael A. Bennett, "Effective Measures of Irrationality for Certain Algebraic Numbers", 1991, p1-15.
  7. Henri Darmonm Peter Green, "Elliptic Curves and Class FIelds of Real Quadratic Fields: Alorithms and Evidence", Expreriemtal Math, Vol.11, No.1, 2002, p37-55.
  8. Ariel Pacetti, "A Formula for the Central Values of Certain Hecke L-functions", Sep 3, 2003, p1-29.
  9. E. Kowalski, P. Michel, "Zeros of Families of Automorphic L-functions close to 1", Pacific Jour. of Math, Vol.207, No.2, 2002, p411-431.
  10. Iste\'van J\'ar\'asi, "Computing all elements of given index in sextic fields with a cubic subfield", 2000, p1-14.
  11. Dino Lorenzini, Thomas J. Tucker, "Thue equations and the method of Chabauty-COleman", Invent. Math. 148, 47-77(2002).
  12. Ryotaro Okazaki, "On the number of representations of 1 by a given binary form of low degree", Aug 19, 2003, p1.
  13. Y. Bugeaud, M. Mignotte, Y. Roy, T. N. Shorey, "The equation $(x^n-1)/(x-1) = y^q$ has no solution with x square", p1-18.
  14. J. P. Bell, K. G. Hare, "A Classification of (some) Pisot-Cyclotomic numbers", March 18, 2004, p1-16.
  15. Wim Couwenberg, "Diophatine equations after an idea of Lehman", Nov 6, 2002, p1-14.
  16. C. L. Stewart, "Thue Equations and Elliptic Curves", 1991, p1-10.
  17. Michael A. Bennett, "On a Theorem of Tartakowsky", 1991, p1-7.
  18. Jarrod Anthony Cunningham, Nancy Ho, Karen Lostritto, Jon Anthony Middleton, Nikia Trenille Thomas, "On Large Rational Solutions of Cubic Thue Equations: What Thue did to Pell", 2000, p1-18.
  19. Jan-Hendrik Evertse, "The numbers of solutions of the Thue-Mahlar equation", 1991, p1-35.
  20. Lubin, Serre, Tate, "Elliptic curves and formal groups", July, 1964, p1-9.
  21. I. M. Isaacs, M. R. Pournaki, "Generalizations of Fermat;s Little Theorem via Group Theory", 2000, p1-8.
  22. B. Z. Moroz, "A few remarks relating to the solubility of Diophantine equations", p1-12.

A33

  1. Clemens Heuberger, "On explicit bounds for the solutions of a class of parameterized Thue equations of arbitrary degree", p1-12.
  2. H. W. Lensytra, Jr., "Algorithms on algebraic number theory", Apr 1, 1992, p1-33.
  3. I. Pink, SZ. Tengely, "Full powers in a arithmetic progressiions", p1-8.
  4. John Voight, "Aspects of complex multiplication", 2000, p1-64.
  5. C. Delaunary, S. Duquesne, "Numerical Investigations Related to the Derivatives of the L-Series of Certain Elliptic Curves", Exper. Math, Vol.12(2003), No.3, p311-317.
  6. Andrej D\,abrowski, Mariusz Wodzicki, "Examples of elliptic curves with large analytic order of III", p1-16.
  7. Shou-Wu Zhang, "Elliptic curves, L-functions, and CM-points", July 11, 2002, p1-64.
  8. Franz Lemmermeyer, "Euclid's Algorthm in Quartic CM-Fields", p1-8.
  9. Mark Watkins, "Rank distribution in a family of cubic twists", p1-12.
  10. J. Gebel, A> Peth\"o, H. G. Zimmer, "On Mordell's Equation", Compositio Math. 110, 1998, p336-367.
  11. P. G. Walsh, "On the Complexity of Rational Puiseux Expansions", Pacific Jour. of Math., Vol.188, No.2, 1999, p369-387.
  12. Kenneth Ribet, William A. Stein, "Modular Forms", Dec 5, 2003, p1-22.
  13. Seth Kleinerman, "On the Torsion Points of Elliptic Curves & Modular Abelian Varieties", p1-23.
  14. Jennifer Balakrishman, "A Survey of Results Concerning the Birch and Swinnerton-Dyer Conjecture over Function Fields", Feb 23, 2004, p1-14.
  15. Ronald van Luijk, "On Perfect Cuboids", June 2000, p1-67.
  16. Istev\'an Ga\'al, Istev\'an J\'ar\'asi, Florian Luca, "A Remark on Prime Divisors of Lengths of Sides of Heron Triangles", Experimental Math. Vol.12(2003), No.3, p303-310.
  17. Leonid N. Vaserstein, Ethel R. Wheland, "Vanishing Ploynomial Sums", p1-15.
  18. Daniel J. Bernstein, "Enumerating Solutions to $p(a)+q(b)=r(c)+s(d)$", 1999, p1-6.
  19. Randy L. Ekl, "New Results in Equal Sums of Like Powers", Math of Comp., Vol.67(1998), No.233, p1303-1315.
  20. Kenneth A. Ribet, "Modular Forms and Diophantine Equations", 2001, p1-21.
  21. Szabolcs Tengely, "Effective Methods for Diophantine Equations", 1976, p1-79.
  22. Emmanuel Halberstadt, "$y^2 = (x^2+1)(x^2+3)(x^2+7)$", Sep, 2003, p1-24.
  23. Alfred J. Menezes, Yi-Hong Wu, Robert J. Zuccherrato, "An elementary introduction to hyperelliptic curves", Nov 7, 1996, p1-35.
  24. A. Bremner, J.H.Silverman, N.Tzanakis, "Integral Points in Arithmetic Progression on $y^2 = x(x^2-n^2)$", p1-21.
  25. A. Bremner, N.Tzanakis, "Lucas Sequences whose 8th term is a square", Feb 13, 2005, p1-46.
  26. A. Bremner, N.Tzanakis, "Lucas Sequences whose 12th or 9th term is a square", 2004, p1-22.
  27. A. Bremner, J.H.Silverman, N.Tzanakis, "Integral Points in Arithmetic Progression on $y^2 = x(x^2-n^2)$", p1-21.
  28. J.L.Wetherell, "Bounding the number of rational points on certain curves of high rank", thesis, 1997, p1-45.
  29. 藤田 育嗣, "Diophantine m-tuples and simultaneous Pell equations", thesus, p1-7.
  30. Meinhard Peters, "The Diophantine Equation $xy+yz+zx = n$ and Indecomposable Binary Quadratic Forms", Expr. Math., Vol.13, No.3, 2004, p273-274.
  31. R.A.Mollin, K.Cheng, B.Goddard, "The Diophantine Equation $AX^2-BY^2 = C$ solved via continued fractions", Acta Math., Vol.71, No.2, 2002, p121-138.
  32. Michael A.Bennett, K\'alam\'an Gy\"ory, Lajos Hajdu, "Powers from products of consecutive terms in arithmetic progression", p1-29.

A34

  1. Fraz Lmmermeyer, "Introduction To Elliptic Curves", Sep 13, 2003, p1-43.
  2. Ahmet Tekcan, "Pell Equation $x^2-Dy^2=2$, II", Irish Math. SOc, Bulletin 54(2004), p73-89.
  3. G. Everest, T. Ward, "The Canonical Height of an Algebraic Point on an Elliptic Curve", New York J. Math., 6(2004), p331-342.
  4. Neil Dummigan, "Symmetric Squares of Elliptic Curves: Rational Points and Selmer Groups", Expr. MAth, Vol.11, No.3, 2002, p379-386.
  5. Andr\'e Weil, "Elliptic Curves", 1994, Kyoto Prize Worokshop-Basic Sciences, Abstract of Commemorative Lecture, p1-4.
  6. Thomas Getgood, "Factorization Algorithms The Quadratuc Sieve", 2005, p1-9.
  7. Richard P. Brent, "Factorization of the Tenth Fermat Number", 1999, Math. of Comp., Vol.68, No.225, p429-451.
  8. A. K. Lenstra, H. W. Lenstra, Jr., M. S. Manasse, J. M. Pollard, "The factorization of ninth Fermat number", 1991, p1-33.
  9. R. P. Brent, R. E. Crandall, K. Dilcher, C. Van Halewyn, "Three new factors of Fermat numbers", 1991, p1-8.
  10. Richard. E. Crandall, Ernst W. Mayer, Jason, S. Papadopoulos, "The Twenty-Fourth Fermat Number is Composite", 2002, Math. of Comp., Vol.72, No.243, p1555-1572.
  11. R. P. Brent, "Factorization of th Tenth and Eleventh Fermat Numbers", 1996, p1-27.
  12. Bjorn Poornen, Edward F. Schaefer, Michael Stoll, "Twist of $X(7)$ and Primitive Solutions to $x^2+y^3=z^7$", 2005, Aug 8, p1-48.
  13. Michael A. Bennett, "Recipes for Ternary Diophantine Equations of Signature $(p,p,k)$", p1-5.
  14. Andrej Dujella, "There are only finitely many Diophantine quintuples", 2004, p1-28.
  15. Andrej Dujella, "On the size of Diophantine m-tuples", 2000, Feb 11, p1-16.
  16. Andrej Dujella, "A proof of the Hoggatt-Bergum Conjecture", Proceedings of the AMS, Vol.127 No.7, 1999, p1999-2005.
  17. Rainer Dietmann, Christian Elsholtz, Katalin Gyaarmati, Mikl\'os Simonnovits, "Shifted products that are coprime pure powers", 2004, Sep 7, p1-16.
  18. Maurice Craig, "On Klein's quartic curve", 2004, p114-119.
  19. Paul Mills, "Notes on Diophantine Quadruples", 2004, March 28, p1-4.
  20. Paul Mills, "Progress in a parametric solution to $X^4+Y^4+Z^4=T^4$", 2004, May 3, p1-3.
  21. Andreas-Stephan Elsenhans, J\"org Jahnel, "The Diophantine Equation $x^4+2y^4 = z^4+4w^4$ --- An investigation by computer for $|x|,|y|,|z|,|w| <= 2.5\cdot 10^6$", p1-8.
  22. Andreas-Stephan Elsenhans, J\"org Jahnel, "The Diophantine Equation $x^4+2y^4 = z^4+4w^4$ --- a number of improvements", 2005, June 28, p1-14.
  23. Andrej Dujella, "Irregular Diophantine m-tuples and elliptic curves of high rank", 1991, p1-5.
  24. Andrej Dujella, "An extension of an old problem of Diophantus and Euler", p1-4.
  25. Andrej Dujella, "An extension of an old problem of Diophantus and Euler. II", p1-8.
  26. Andrej Dujella, "On Diophantine quintuples", p1-12.
  27. Andrej Dujella, "An absolute bound for the size of Diophantine m-tuples", 2000, p1-22.
  28. Henri Cohen, "On Sums of Four Cubes", March 18, 2004, p1-4.

B6

  1. Guido van Rossum, Fred L. Drake, Jr.,(編), Pytonドキュメント翻訳プロジェクト(訳), "Python チュートリアル Release 2.3.3", Dec 25, 2003, p1-106.
  2. Guido van Rossum(著), Pytonドキュメント翻訳プロジェクト(訳), "Python リアレンスマニュアル Release 2.3", Feb 3, 2004, p1-90.

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Last Update: 2007.03.22
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