✦ LIBER ✦

A Proof that extends hurwitz formula into the critical strip

✍ Scribed by M.T. Boudjelkha

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 281 KB
Volume: 14
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00168-3

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✦ Synopsis

Hurwitz formula for the generalized zeta function C(s, a) has been established under condition h(s) = c < 0. Using the same contour integral, the proof proposed in this paper allows the extension of this formula into the critical strip, 0 < o < 1. A similar result is obtained for the related function (l/F(s)) jam z8-i (eeaz/( 1 + ee5)) dz, 0 < a 5 1.