Corpus ID: 118744752

Agoh's conjecture: its generalizations, its analogues

  title={Agoh's conjecture: its generalizations, its analogues},
  author={Andrei Vieru},
  journal={arXiv: Number Theory},
  • Andrei Vieru
  • Published 2011
  • Mathematics
  • arXiv: Number Theory
  • In this paper we formulate two generalizations of Agoh's conjecture. 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. We formulate a thesis about combinatorial objects that do not produce fake primes.