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Proc. London Math. Soc. (3), 92(2):273–306, 2006. |
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Michael A. Bennett, Kálmán Győry, and Ákos Pintér.
On the Diophantine equation 1k + 2k + … + xk = yn.
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A. Bérczes, A. Pethő, and V. Ziegler.
Parameterized norm form equations with arithmetic progressions.
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Attila Bérczes and Attila Pethő.
Computational experiences on norm form equations with solutions
forming arithmetic progressions.
Glas. Mat. Ser. III, 41(61)(1):1–8, 2006. |
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A. Bremner and N. Tzanakis.
Lucas sequences whose 8th term is a square.
arXiv:math.NT/0408371 v2, 44 pages, 2004. |
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A. Bremner and N. Tzanakis.
On squares in Lucas sequences.
J. Number Theory, To appear, 11 pages, 2006. |
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N. Bruin, K. Győry, L. Hajdu, and S. Tengely.
Arithmetic progressions consisting of unlike powers.
arXiv:math.NT/0512419 v1, 16 pages, 2005. |
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Nils Bruin.
The primitive solutions to x³ + y9 = z².
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Nils Bruin.
Some ternary Diophantine equations of signature (n, n, 2).
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Nils Bruin and Michael Stoll.
Deciding existence of rational points on curves: an experiment.
arXiv:math.NT/0604524, 12 pages, 2006. |
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Ralph H. Buchholz.
Triangles with three rational medians.
J. Number Theory, 97(1):113–131, 2002. |
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Yann Bugeaud, Florian Luca, Maurice Mignotte, and Samir Siksek.
On perfect powers in Lucas sequences.
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Yann Bugeaud, Maurice Mignotte, and Samir Siksek.
A multi-Frey approach to some multi-parameter families of
Diophantine equations.
Canadian Journal of Mathematics, To appear. |
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Yann Bugeaud, Maurice Mignotte, and Samir Siksek.
Classical and modular approaches to exponential Diophantine
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Yann Bugeaud, Maurice Mignotte, and Samir Siksek.
Classical and modular approaches to exponential Diophantine
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Compos. Math., 142(1):31–62, 2006. |
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Imin Chen.
A Diophantine equation associated to X0(5).
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Henri Cohen.
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Robert S. Coulter, Marie Henderson, and Felix Lazebnik.
On certain combinatorial Diophantine equations and their connection
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Acta Arith., 122(4):395–406, 2006. |
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Luis V. Dieulefait.
Solving Diophantine equations x4 + y4 = qzp.
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Konstantinos Draziotis and Dimitrios Poulakis.
Practical solution of the Diophantine equation
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Math. Comp., 75(255):1585–1593 (electronic), 2006. |
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Konstantinos A. Draziotis.
Integer points on the curve Y² = X³ ± pkX.
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K. Győry and Á. Pintér.
Almost perfect powers in products of consecutive integers.
Monatsh. Math., 145(1):19–33, 2005. |
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K. Győry and Á. Pintér.
Correction to the paper: ``Almost perfect powers in products of
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Monatsh. Math., 146(4):341, 2005. |
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Lajos Hajdu and Szabolcs Tengely.
Arithmetic progressions of squares, cubes and n-th powers.
arXiv:0707.0593, 10 pages, 2007. |
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Robin Hartshorne and Ronald van Luijk.
Non-euclidean Pythagorean triples, a problem of Euler, and
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arXiv:math.NT/0606700, 11 pages, 2006. |
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E. Herrmann, I. Járási, and A. Pethő.
Note on: ``The Diophantine equation xn = Dy² + 1'' by J. H.
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E. Herrmann, F. Luca, and P. G. Walsh.
A note on the Ramanujan-Nagell equation.
Publ. Math. Debrecen, 64(1-2):21–30, 2004. |
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Emanuel Herrmann and Attila Pethő.
S-integral points on elliptic curves. Notes on a paper of B.
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J. Théor. Nombres Bordeaux, 13(2):443–451, 2001. |
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Dino Lorenzini and Thomas J. Tucker.
Thue equations and the method of Coleman-Chabauty.
arXiv:math.NT/0005186, 30 pages, 2000. |
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Bjorn Poonen, Edward F. Schaefer, and Michael Stoll.
Twists of X(7) and primitive solutions to x² + y³ = z7.
arXiv:math.NT/0508174v1, 48 pages, 2005. |
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Samir Siksek and John E. Cremona.
On the Diophantine equation x² + 7 = ym.
Acta Arith., 109(2):143–149, 2003. |
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N. P. Smart.
Thue and Thue-Mahler equations over rings of integers.
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Nigel P. Smart.
The Algorithmic Resolution of Diophantine Equations,
volume 41 of London Mathematical Society Student Texts.
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Szabolcs Tengely.
On the Diophantine equation x² + a² = 2yp.
Indag. Math. (N.S.), 15(2):291–304, 2004. |
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Szabolcs Tengely.
Effective Methods for Diophantine Equations.
PhD thesis, Leiden University, 2005. |
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Szabolcs Tengely.
Note on a paper "An Extension of a Theorem of Euler" by
Hirata-Kohno et al.
arXiv:0707.0596, 5 pages, 2007. |
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Szabolcs Tengely.
Triangles with two given integral sides.
arXiv:0707.0592, 4 pages, 2007. |
