Some problems of analytic number theory

Abstract

This is in continuation of the paper with the same title but with number IV. Theorem 6 of that paper reads as follows. Let 00 exp(((s)) 00 = :~::)nn-• and expexp(((s)) =L dnn-• n=l n=l in R( s) > 1. Then we have and '°' dn = ~ f L.,, n~x 27rt expexp(((s)) x• ds 8 circle + O(x 1 -•) for every fixed c > 0 (throughout this paper circle means the curve Is - ll = -fo, s # -fa, traversed in the anticlockwise direction) as x --+ oo. In the present paper we prove that these results are valid even when ((s) is replaced by o(((s)) 13 where a and (3 are any non- zero complex constants.

Locations

• Acta Arithmetica - View - PDF