On zeros of linear combinations of functions of special form related to the Hecke \(L\)-functions of imaginary quadratic fields on short intervals

DOI10.1134/S0081543813070092zbMath1323.11067MaRDI QIDQ483190

S. A. Gritsenko, D. B. Demidov

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hardy functionKaratsuba's problemlinear combinations of \(L\) functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (1)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s

Cites Work

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• On the distribution of norms of prime ideals of a given class in arithmetic progressions
• On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke \(L\)-functions on the critical line
• On the Selberg class of Dirichlet series: Small degrees
• Eine approximative Funktionalgleichung für die Heckesche Zetafunktion eines imaginären quadratischen Körpers
• Zeros of linear combinations of Hecke $ L$-functions on the critical line
• ON THE ZEROS OF THE DAVENPORT-HEILBRONN FUNCTION LYING ON THE CRITICAL LINE
• ON THE ZEROS OF SOME DIRICHLET SERIES LYING ON THE CRITICAL LINE
• ON THE ZEROS OF A SPECIAL TYPE OF FUNCTION CONNECTED WITH DIRICHLET SERIES
• Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
• Zeros of a special type of function associated with Hecke L -functions of imaginary quadratic fields

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