Functional equation and zeros on the critical line of the quadrilateral zeta function

DOI10.1016/J.JNT.2021.06.017zbMath1497.11225arXiv1910.09837OpenAlexW3183217904WikidataQ114156877 ScholiaQ114156877MaRDI QIDQ2064341

Takashi Nakamura

Publication date: 5 January 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09837

zbMATH Keywords

functional equationconverse theoremszeros on critical linequadrilateral zeta function

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Hurwitz and Lerch zeta functions (11M35)

Related Items (2)

Dirichlet series with periodic coefficients, Riemann's functional equation, and real zeros of Dirichlet \(L\)-functions ⋮ On zeros of bilateral Hurwitz and periodic zeta and zeta star functions

Cites Work

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• On a mollifier of the perturbed Riemann zeta-function
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• On Dirichlet series satisfying Riemann's functional equation
• A note on the gaps between zeros of Epstein's zeta-functions on the critical line
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• On the distribution of zeros of linear combinations of Euler products
• Herleitung des Euler-Produktes der Zetafunktion und einiger \(L\)-Reihen aus ihrer Funktionalgleichung
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Zeros of quadratic zeta-functions on the critical line
• GAPS BETWEEN THE ZEROS OF EPSTEIN'S ZETA-FUNCTIONS ON THE CRITICAL LINE

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