论文标题
二态Mersenne号码及其应用
Dimorphic Mersenne numbers and their applications
论文作者
论文摘要
Mersenne Primes是素数,可以写为2负1的主要力量。这些素数是从古代研究的,因为它们与完美的数字甚至是当今的紧密联系,因为它们对原始测试的轻松性。 在本文中,我们将二态Mersenne数字作为Mersenne数字的退化版本,并研究其与退化Bernoulli多项式有关的某些特性和不完整的Bell多项式。
The Mersenne primes are primes which can be written as some prime power of 2 minus 1. These primes were studied from antiquity in that their close connection with perfect numbers and even to present day in that their easiness for primality test. In this paper, we introduce the dimorphic Mersenne numbers as a degenerate version of the Mersenne numbers and investigate some of their properties in connection with the degenerate Bernoulli polynomials and the incomplete Bell polynomials.