Generalized Euler constants
数论
2019-05-01 v2
摘要
We define a family {} of generalized Euler constants indexed by finite sets of primes and study their distribution. These arise from partial sums of reciprocals of integers not divisible by any prime in . An apparent monotonicity is investigated. We also prove that a certain property of these numbers is equivalent to the Riemann Hypothesis.
引用
@article{arxiv.math/0703508,
title = {Generalized Euler constants},
author = {Harold G. Diamond and Kevin Ford},
journal= {arXiv preprint arXiv:math/0703508},
year = {2019}
}
备注
v2. 13 pages. Minor changes suggested by the referee. To appear in Math. Proc. Cambridge Phil. Soc