On the distribution of zeros of a sequence of entire functions approaching the Riemann zeta function

DOI10.1016/j.jmaa.2008.09.068zbMath1167.30015OpenAlexW1998461661MaRDI QIDQ2517709

Gaspar Mora, Juan Matías Sepulcre

Publication date: 8 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.068

zbMATH Keywords

functional equationszeros of entire functionsalmost-periodic functions

Mathematics Subject Classification ID

Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (7)

The asymptotic number of zeros of exponential sums in critical strips ⋮ On the analytic solutions of the functional equations \(w_1f(a_1z)+w_2f(a_2)z+\dots+w_nf(a_nz=0)\) ⋮ Computing the zeros of the partial sums of the Riemann zeta function ⋮ On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials ⋮ The critical strips of the sums \(1+2^{z}+\cdots +n^{z}\) ⋮ Almost periodic functions and their applications: a survey of results and perspectives ⋮ A note on the real projection of the zeros of partial sums of Riemann zeta function

Cites Work

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• Functional equations generating space-densifying curves
• A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)
• Mean motions and zeros of almost periodic functions

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