PAIR CORRELATION OF LOW-LYING ZEROS OF QUADRATIC -FUNCTIONS

DOI10.1017/nmj.2016.26zbMath1417.11138OpenAlexW2510813566MaRDI QIDQ2828021

Keiju Sono

Publication date: 24 October 2016

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/nmj.2016.26

zbMATH Keywords

nontrivial zerosquadratic \(L\)-functionsKronecker symbols

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

• Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory
• The Selberg trace formula and the Riemann zeta-function
• Low-lying zeros of \(L\)-functions and random matrix theory
• On the \(q\)-analogue of the pair correlation conjecture
• The n-level densities of low-lying zeros of quadratic Dirichlet L-functions
• Zeroes of zeta functions and symmetry
• On the Pair Correlation of Zeros of the Riemann Zeta-Function
• Linear Statistics of Low-Lying Zeros of L-Functions
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