Explicit formulas for the pair correlation of zeros of functions in the Selberg class

DOI10.1515/form.2002.006zbMath1030.11044OpenAlexW2060098060MaRDI QIDQ2769473

M. Ram Murty, Alexandru Zaharescu

Publication date: 6 February 2002

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/18825126212bb9386b1a4ba4508aebbc7d160011

zbMATH Keywords

explicit formulasSelberg classpair correlation of zeros

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Related Items (9)

Pair correlation of roots of rational functions with rational generating functions and quadratic denominators ⋮ Local spacings along curves ⋮ Unnamed Item ⋮ On a class of functions that satisfies explicit formulae involving the Möbius function ⋮ The joint universality for pairs of zeta functions in the Selberg class ⋮ The pair correlation of homothetic images of zeros of the Riemann zeta-function ⋮ On the distribution of imaginary parts of zeros of the Riemann zeta function. II ⋮ On the distribution of zeros of derivatives of the Riemann \(\xi \)-function ⋮ On the distribution of the \(a\)-points of a Selberg class \(L\)-function modulo one

Cites Work

• Zeroes of zeta functions and symmetry
• Unnamed Item
• Unnamed Item

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