The zeros of Riemann zeta partial sums yield solutions to \(f(x)+f(2x)+\cdots+f(nx)=0\)

DOI10.1007/s00009-012-0237-xzbMath1315.30001OpenAlexW2071372160MaRDI QIDQ358228

Gaspar Mora, Juan Matías Sepulcre

Publication date: 16 August 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0237-x

zbMATH Keywords

functional equationszeros of partial sums of the Riemann zeta function

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (4)

Equivalence classes of exponential polynomials with the same set of zeros ⋮ The analytic solutions of the functional equations \(a_1f(\gamma_1 s) + a_2f(\gamma_2 s) + \cdots + a_nf(\gamma_n s) = h(s)\) ⋮ A class of functional equations associated with almost periodic functions ⋮ On the analytic solutions of the functional equations \(w_1f(a_1z)+w_2f(a_2)z+\dots+w_nf(a_nz=0)\)

Cites Work

• Unnamed Item
• A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)
• On quotients of exponential polynomials

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