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math.NT2004★ 20 cited
An invitation to additive prime number theory
A. V. Kumchev, D. I. Tolev
The main purpose of this survey is to introduce an inexperienced reader to additive prime number theory and some related branches of analytic number theory. We state the main probl…
math.NT2004
On the irreducibility of a truncated binomial expansion
Michael Filaseta, Angel Kumchev, Dmitrii V. Pasechnik
Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it.…