Agoh's conjecture: its proof, its generalizations, its analogues

Details Agoh's conjecture: its proof, its generalizations, its analogues Agoh's conjecture: its proof, its generalizations, its analogues

2011-07-14

arxiv.org/abs/1107.2938v2

Mathematics

Number Theory

10 pages

Scientific paper

In this paper we formulate some generalizations of Agoh's conjecture. We
provide a proof of one of them. We also formulate conjectures involving
congruence modulo primes about hyperbolic secant, hyperbolic tangent, N\"orlund
numbers, as well as about coefficients of expansions in powers of other
analytic functions.

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