A NOTE ON ARTIN'S CONSTANT

作者:Cherednik Ivan*
来源:Moscow Mathematical Journal, 2015, 15(2): 283-291.
DOI:10.17323/1609-4514-2015-15-2-283-291

摘要

We suggest new heuristic summation formulas for the A Hill constant and its analogs in higher ranks, for the density of prime numbers p such that a given set of integers generates the corresponding multiplicative groups modulo powers of p. Depending on the choice of these integers, certain interesting rational corrections emerge, which are calculated in rank one case. The rate of convergence of these stuns to the corresponding constants, connected with the generalized Riemann Hypothesis, is analyzed numerically. We also discuss the Stephens constant.

  • 出版日期2015-6

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