Equivalence classes of exponential polynomials with the same set of zeros

DOI10.1080/17476933.2015.1075204zbMath1332.30014OpenAlexW2178070739MaRDI QIDQ3467523

Tomás Vidal, Juan Matías Sepulcre

Publication date: 2 February 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/64587

zbMATH Keywords

functional equationszeros of entire functionsexponential polynomials

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) Entire functions of one complex variable (general theory) (30D20)

Related Items (3)

Almost periodic functions in terms of Bohr's equivalence relation ⋮ The analytic solutions of the functional equations \(a_1f(\gamma_1 s) + a_2f(\gamma_2 s) + \cdots + a_nf(\gamma_n s) = h(s)\) ⋮ The projections of the zeros of exponential polynomials with complex frequencies

Cites Work

• The zeros of Riemann zeta partial sums yield solutions to \(f(x)+f(2x)+\cdots+f(nx)=0\)
• Functional equations generating space-densifying curves
• A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)

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