We introduce the notion of rough transitivity and prove that there exist no non-constant harmonic Dirichlet functions on amenable roughly transitive graphs. Journal Information This monthly journal, ...
The section introduces notation and outlines the proof for establishing lower bounds of Dirichlet L-functions by relating these bounds to the distribution of zeros, leveraging results from prominent ...
ABSTRACT: The purpose of this research is to extend to the functions obtained by meromorphic continuation of general Dirichlet series some properties of the functions in the Selberg class, which are ...
1 Department of Mathematics, York University Glendon College, Toronto, Canada. 2 North University Center at Baia Mare, Faculty of Science, Department of Mathemathics and Computer Science, Technical ...
Abstract: We study the value-distribution of Dirichlet L-functions L(s, χ) in the half-plane σ = ℜ s>1/2. The main result is that a certain average related to the logarithm of L(s, χ) with respect to ...
Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...
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