On the zeros of functions from the extended Selberg class of degree 0. (English) Zbl 1185.11054

Radziejewski, Maciej

Funct. Approximatio, Comment. Math. 33, 97-100 (2005).

Summary: We give an improved upper bound for the error term in the Riemann–von Mangoldt formula for functions of degree 0 in the extended Selberg class. The bound is uniform for functions with no zeros in a certain half-plane. The first such bound was given by J. Kaczorowski and A. Perelli [Funct. Approximatio, Comment. Math. 31, 109-117 (2003; Zbl 1065.11072)] in the proof that the extended Selberg class is a semigroup with factorization.

MSC:

11M41

Other Dirichlet series and zeta functions

Keywords:

non-trivial zeros of L-functions; Selberg class; Riemann Hypothesis

Citations:

Zbl 1065.11072

References:

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