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[1] P. D’Aquino, A. Fornasiero and G. Terzo. Generic solutions of equations with iterated exponentials. Trans. Amer. Math. Soc. 370 (2018) 1393-1407.
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[2] Khoa D. Nguyen. On modules of integral elements over finitely generated domains. Trans. Amer. Math. Soc. 369 (2017) 3047-3066.
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[3] Michael A. Bennett and Nicolas Billerey. Sums of two $S$-units via Frey-Hellegouarch curves. Math. Comp. 86 (2017) 1375-1401.
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[4] Csanád Bertók and Lajos Hajdu. A Hasse-type principle for exponential Diophantine equations and its applications. Math. Comp. 85 (2016) 849-860.
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[5] Michael A. Bennett and Ákos Pintér. Intersections of recurrence sequences. Proc. Amer. Math. Soc. 143 (2015) 2347-2353.
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[6] Claude Levesque and Michel Waldschmidt. Familles d'\'equations de Thue associ\'ees \`a un sous-groupe de rang $\mathbf{1}$ d'unit\'es totalement r\'eelles d'un corps de nombres. Contemporary Mathematics 655 (2015) 117-134.
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[7] P. Corvaja, W. M. Schmidt and U. Zannier. The Diophantine equation $\alpha _{1}^{x_{1}}\cdots \alpha _{n}^{x_{n}} = f(x_{1},\dots ,x_{n})$. II. Trans. Amer. Math. Soc. 362 (2010) 2115-2123. MR 2574889.
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[8] Wilfrid Keller and Jörg Richstein. Solutions of the congruence $a^{p-1} \equiv 1 \pmod {p^r}$. Math. Comp. 74 (2005) 927-936. MR 2114655.
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[9] Ming-Guang Leu and Guan-Wei Li. The Diophantine equation $2 x^2 + 1 = 3^n$. Proc. Amer. Math. Soc. 131 (2003) 3643-3645. MR 1998169.
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[10] Clemens Fuchs, Attila Petho and Robert F. Tichy. On the Diophantine equation $G_n(x)=G_m(P(x))$: Higher-order recurrences. Trans. Amer. Math. Soc. 355 (2003) 4657-4681. MR 1990766.
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[11] Florian Luca. On the diophantine equation $x^{2}=4q^{m}-4q^{n}+1$. Proc. Amer. Math. Soc. 131 (2003) 1339-1345. MR 1949862.
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[12] J. H. E. Cohn. The Diophantine equation $x^p+1=py^2$. Proc. Amer. Math. Soc. 131 (2003) 13-15. MR 1929016.
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[13] D. W. Masser. On $abc$ and discriminants. Proc. Amer. Math. Soc. 130 (2002) 3141-3150. MR 1912990.
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[14] J. H. E. Cohn. On the class number of certain imaginary quadratic fields. Proc. Amer. Math. Soc. 130 (2002) 1275-1277. MR 1879947.
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[15] Florian Luca. On a conjecture of Erdos and Stewart. Math. Comp. 70 (2001) 893-896. MR 1677411.
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[16] Zhenfu Cao. On the Diophantine equation $x^{p}+2^{2m}=py^{2}$. Proc. Amer. Math. Soc. 128 (2000) 1927-1931. MR 1694856.
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[17] N. P. Smart. Determining the small solutions to $S$-unit equations. Math. Comp. 68 (1999) 1687-1699. MR 1653990.
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[18] Maohua Le. On the diophantine equation $(x^3-1)/(x-1)=(y^n-1)/(y-1)$ . Trans. Amer. Math. Soc. 351 (1999) 1063-1074. MR 1443198.
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[19] G. Niklasch and N. P. Smart. Exceptional units in a family of quartic number fields. Math. Comp. 67 (1998) 759-772. MR 1464147.
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[20] Yann Bugeaud. On the diophantine equation $x^2-2^m=\pm y^n$. Proc. Amer. Math. Soc. 125 (1997) 3203-3208. MR 1422850.
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[21] Daniel Berend and Yuri Bilu. Polynomials with roots modulo every integer. Proc. Amer. Math. Soc. 124 (1996) 1663-1671. MR 1307495.
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[22] Yongdong Guo and Mao Hua Le. A note on the exponential Diophantine equation $x\sp 2-2\sp m=y\sp n$ . Proc. Amer. Math. Soc. 123 (1995) 3627-3629. MR 1291786.
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[23] Mao Hua Le. On the Diophantine equation $2\sp n+px\sp 2=y\sp p$ . Proc. Amer. Math. Soc. 123 (1995) 321-326. MR 1215203.
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[24] Paul M. Voutier. Primitive divisors of Lucas and Lehmer sequences . Math. Comp. 64 (1995) 869-888. MR 1284673.
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[25] N. P. Smart. The solution of triangularly connected decomposable form equations . Math. Comp. 64 (1995) 819-840. MR 1277771.
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[26] Robert Styer. Small two-variable exponential Diophantine equations . Math. Comp. 60 (1993) 811-816. MR 1160277.
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[27] Le Maohua. On the Diophantine equations $d\sb 1x\sp 2+2\sp {2m}d\sb 2=y\sp n$ and $d\sb 1x\sp 2+d\sb 2=4y\sp n$ . Proc. Amer. Math. Soc. 118 (1993) 67-70. MR 1152282.
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[28] Mao Hua Le. On the generalized Ramanujan-Nagell equation $x\sp 2-D=2\sp {n+2}$ . Trans. Amer. Math. Soc. 334 (1992) 809-825. MR 1070350.
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[29] N. Tzanakis and B. M. M. de Weger. Solving a specific Thue-Mahler equation . Math. Comp. 57 (1991) 799-815. MR 1094961.
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[30] M. Aaltonen and K. Inkeri. Catalan's equation $x\sp p-y\sp q=1$ and related congruences . Math. Comp. 56 (1991) 359-370. MR 1052082.
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Results: 1 to 30 of 34 found      Go to page: 1 2