Lerch's theorems over function fields.

Meemark, Yotsanan; Chinwarakorn, Sirawich

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Sharper ABC-based bounds for congruent polynomials

Daniel J. Bernstein (2005)

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Agrawal, Kayal, and Saxena recently introduced a new method of proving that an integer is prime. The speed of the Agrawal-Kayal-Saxena method depends on proven lower bounds for the size of the multiplicative semigroup generated by several polynomials modulo another polynomial $h$ . Voloch pointed out an application of the Stothers-Mason ABC theorem in this context: under mild assumptions, distinct polynomials $A, B, C$ of degree at most $1.2 deg h - 0.2 deg rad A B C$ cannot all be congruent modulo $h$ . This paper presents two...

On the Diophantine equation $G_{n} (x) = G_{m} (P (x))$ for third order linear recurring sequences.

Fuchs, Clemens (2004)

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Marques de Sá, E., Vieira, J. David (1991)

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Some elementary applications of topological degree.

Pavel, Dan Gabriel (2001)

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Heegner points and $L$ -series of automorphic cusp forms of Drinfeld type.

Tipp, Ulrich, Rück, Hans-Georg (2000)

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Common divisors of $a^{n} - 1$ and $b^{n} - 1$ over function fields.

Silverman, Joseph H. (2004)

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On a diophantine equation connected with the Fermat equation

B. Brindza (1984)

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Minimal degree solutions for the Bezout equation

Edoardo Ballico, Daniele C. Struppa (1987)

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The metric simultaneous diophantine approximations over formal power series

Kae Inoue (2003)

Journal de théorie des nombres de Bordeaux

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We discuss the metric theory of simultaneous diophantine approximations in the non-archimedean case. First, we show a Gallagher type 0-1 law. Then by using this theorem, we prove a Duffin-Schaeffer type theorem.