The Riemann hypothesis and the zero distribution of angular lattice sums

DOI10.1098/rspa.2010.0566zbMath1243.11089arXiv1007.4111OpenAlexW2138270119MaRDI QIDQ5199460

Lindsay C. Botten, R. C. McPhedran, Nicolae-Alexandru P. Nicorovici, D. J. Williamson

Publication date: 16 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4111

zbMATH Keywords

Riemann hypothesislattice sumsDirichlet \(L\) functions

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 (1)

Singular Euler–Maclaurin expansion on multidimensional lattices

Cites Work

• On the Riemann property of angular lattice sums and the one-dimensional limit of two-dimensional lattice sums
• Some properties of Dirichlet L-series
• Statistical properties of the zeros of zeta functions-beyond the Riemann case
• Distributive and analytic properties of lattice sums
• Null trajectories for the symmetrized Hurwitz zeta function

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