On the zeros of functions from the extended Selberg class of degree 0

zbMath1185.11054MaRDI QIDQ873793

Maciej Radziejewski

Publication date: 20 March 2007

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229696535

zbMATH Keywords

Selberg classRiemann Hypothesisnon-trivial zeros of L-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Cites Work

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• Zeros on the critical line for Dirichlet series attached to certain cusp forms
• On the structure of the Selberg class. V: \(1<d<5/3\)
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• Lectures on the mean-value and Omega-theorems for the Riemann Zeta-function
• On the distribution of zeros of linear combinations of Euler products
• Zeta functions of ideal classes in quadratic fields and their zeros on the critical line
• Zeros on the critical line for Maass wave form L-functions.
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• On Multiplicative Arithmetical Functions whose Modulus does not Exceed One
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
• Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
• The Zeros of Epstein's Zeta-Functions
• Exponential sums with multiplicative coefficients

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