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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2011 Volume 66, Issue 2(398), Pages 15–66 (Mi rm9410)

This article is cited in 32 papers

Around the Davenport–Heilbronn function

E. Bombieria, A. Ghoshb

a Institute for Advanced Study, School of Mathematics, Princeton, USA
b Oklahoma State University, Department of Mathematics, Stillwater, USA

Abstract: This paper deals with analytic properties of certain Dirichlet series considered by Davenport and Heilbronn and by Titchmarsh.
Bibliography: 28 titles.

Keywords: zeros of Dirichlet series, reciprocals of Dirichlet series, estimates of coefficients.

UDC: 511.33

MSC: Primary 11M41, 11M26; Secondary 11E45

Received: 04.10.2010

DOI: 10.4213/rm9410


 English version:
Russian Mathematical Surveys, 2011, 66:2, 221–270

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© Steklov Math. Inst. of RAS, 2026