ON EVALUATION OF THE DIRICHLET SERIES AT POSITIVE INTEGERS BY Q-CALCULATION

[摘要] By q-calculation, we prove some recursion formulas for the values of Riemann zeta-function zeta(s) at positive even integers, and also prove some series representation for the values of zeta(s) at positive odd integers. By using these relations, we evaluate the Dirichlet L-series at positive integers. (C) 1994 Academic Press, Inc.

[发布日期] 1994-09-01