[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2022.061

MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS

JO, GYE HWAN (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University)
KIM, DAEYEOUL (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University)

Publication Information

Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 61-68 More about this Journal

Abstract

Let M_p := 2^p - 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying $\sum_{t=0}^{n}\;${an+b\\ct+d}$\;=\;M_{p^e}$ given a Mersenne prime number M_p. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.

Keywords

Mersenne prime; binomial coefficient;

Citations & Related Records

Reference

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