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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive
Tr. Inst. Mat., 2015 Volume 23, Number 2, Pages 29–36 (Mi timb238)
Upper bounds for the number of integer polynomials with given discriminants

N. V. Budarinaabc, D. Dickinsonabc, V. I. Bernikabc

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
b National University of Ireland, Maynooth
c Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: A generalization of the Gelfond theorem on the smallest value of the two integer polynomials without common roots was obtained, taking into account the evaluation of all their derivatives.

UDC: 511.42

Received: 14.06.2015


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