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Diophantine Equation:

Geometric Theorems, Diophantine Equations, and Arithmetic Functions by Jozsef Sandor, June, 2002 Diophantus and Diophantine Equations by Isabella G. Bashmakova, November, 1997 The Algorithmic Resolution of Diophantine Equations : A Computational Cookbook by Nigel P. Smart, January, 1999 Diophantine Equations over Function Fields by R. C. Mason, July, 1984 Exponential Diophantine Equations by T. N. Shorey, R. Tijdeman, March, 1987 Equations in Free Semigroups by Steklov Inst Math Academy Sci U.S.S.R. Staff, June, 1976 Diophantine Equations and Power Integral Bases: New Computational Methods by Istvan Gaal, May, 2002 Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics) by Serguel A. Stepanov, Irene Aleksanova, December, 1994 Diophantine Approximations and Diophantine Equations (Lecture Notes in Mathematics, Vol. 1467) by Wolfgang M. Schmidt, August, 1991 Number Theory and Mathematical Logic: Number Theory, Unit Eight - Diophantine Equations (M381 Number Theory and Mathematical Logic) by A. Best, 01 November, 2001

41. A Public-key Cryptosystem Based On Diophantine Equation
    IPSJ JOURNAL Abstract Vol.31 No.12 016. A Public-key Cryptosystem Based on DiophantineEquation. YAGISAWA MASAHIRO ?1. ?1 Showa Engineering Corporation  
    http://www.ipsj.or.jp/members/Journal/Eng/3112/article016.html

42. Mathematica Information Center: The Linear Diophantine Equation In Nonnegative V
    The Linear diophantine equation in Nonnegative Variables, Mathematica code is usedto solve the linear diophantine equation for nonnegative integer values.  
    http://library.wolfram.com/database/Articles/3176/

43. ?(Diophantine Equation) ? ?
    The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set.  
    http://gifted.kaist.ac.kr:7777/math/a2007_001h01.html

44. About The Diophantine Equation Y(Y+m1)(Y+m2)(Y+ M1+m2)=2X(X+m1)(X+m2)(X+ M1+m2)
    Title, About the diophantine equation Y(Y+m1)(Y+m2)(Y+ m1+m2)=2X(X+m1)(X+m2)(X+m1+m2). Date, 200101-01. Subject, Natural Sciences Mathematics.  
    http://arc.cs.odu.edu:8080/dp9/getrecord/oai_dc/oai:hofprints:hofprints00000026

45. [FWP] Diophantine Equation Solver (of Much Interest)
    Thread Index FWP diophantine equation Solver (of much interest). SubjectFWP diophantine equation Solver (of much interest);  
    http://bumppo.net/lists/fun-with-perl/2000/06/msg00068.html

46. Mathematics Encyclopedia -- Platonic Realms
    Platonic Realms Home  
    http://www.mathacademy.com/cgi-bin/ref_main.cgi?Diophantine equation

47. A Binomial Diophantine Equation
    a question of Richard K. Guy in proving that 21 choose 2 = 10 choose 4 is the largestsolution of the binomial diophantine equation n choose 2 = m choose 4.  
    http://netec.mcc.ac.uk/WoPEc/data/Papers/dgreureir1997103.html

48. One Diophantine Equation
    Abstract We solve a problem posed recently by JHE Cohn, in proving that x = y =1 is the only solution in nonnegative integers to the diophantine equation x^2  
    http://netec.mcc.ac.uk/WoPEc/data/Papers/dgreureir19972.html

49. Cryptanalysis Of A Diophantine Equation Oriented Public Key Cryptosystem
    pp. 511512 Cryptanalysis of a diophantine equationOriented Public Key Cryptosystem.  
    http://www.computer.org/tc/tc1997/t0511abs.htm

50. Maths Glossary
    diophantine equation An equation which is required to be solved by integers.Thusthe diophantine equation 2x 2 3y 2 = 5 has the integer solution x=2,y=1  
    http://www.fortunecity.com/emachines/e11/86/mathglos.html

51. Historical Notes: Hilbert's Tenth Problem
    posed the problem of finding a single finite procedure that could systematicallydetermine whether a solution exists to any specified diophantine equation.  
    http://www.wolframscience.com/reference/notes/1161a

52. Historical Notes: Diophantine Equations
    Particularly from the work of Carl Friedrich Gauss around 1800 there emergeda procedure to find solutions to any quadratic diophantine equation in two  
    http://www.wolframscience.com/reference/notes/1164b

53. Diophantine Equation Exploration
    Exploration of a Diophantine Type Equation. A diophantine equation is any polynominalequation (in one or more unknowns) whose coefficients are integers.  
    http://web.pdx.edu/~carbonec/assignment6.html

54. MathGroup Archive: September 2001 Diophantine Equation Y^2=x^3-2*x+1
    diophantine equation y^2=x^32*x+1. To mathgroup@smc.vnet.net; Subjectmg30666 diophantine equation y^2=x^3-2*x+1; From Ranko  
    http://forums.wolfram.com/mathgroup/archive/2001/Sep/msg00027.html

55. MathGroup Archive: September 2001 Diophantine Equation Y^2=x^3-2*x+1
    diophantine equation y^2=x^32*x+1. To mathgroup@smc.vnet.net; Subjectmg30672 diophantine equation y^2=x^3-2*x+1; From Ranko  
    http://forums.wolfram.com/mathgroup/archive/2001/Sep/msg00026.html

56. 3. The Problem Of Simplest Diophantine Representation
    Next, I take the complexity, or simplicity, of a diophantine equationto be the number of basic symbols occurring in it. 3 Now recall  
    http://www.hf.uio.no/filosofi/njpl/vol2no2/diophantine/node3.html

57. 2. Diophantine Sets And Hilbert's Tenth Problem
    One can get rid of the negative coefficients by transforming a diophantine equationof the form P( ) = 0 to the form P'( ) = P''( ). Moreover, there are well  
    http://www.hf.uio.no/filosofi/njpl/vol2no2/diophantine/node2.html

58. Home Page Of Nikos Tzanakis
    1 The diophantine equation x^3 + 3y^3 = 2^n , J.Number Th. 15 (1982),376387. 2 On the diophantine equation y^2 - D = 2^k , J.Number Th.  
    http://itia.math.uch.gr/~tzanakis/

59. Mathematical Publications By Benjamin M.M. De Weger
    (MR 92a11028, Zbl. 738.11029); A diophantine equation of Antoniadis, inRA Mollin (ed.), Number theory and applications, NATO ASI Series C, Vol.  
    http://www.xs4all.nl/~deweger/publikaties.html

60. Section 1.1 From "Hilbert's Tenth Problem" By Yuri MATIYASEVICH
    1.1 diophantine equations as a decision problem. Let us recall that a Diophantineequation is an equation of the form. D(x 1 , ,x m )=0,, (1.1.1).  
    http://logic.pdmi.ras.ru/~yumat/H10Pbook/par_1_1.htm

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