Small zeros of Dirichlet \(L\)-functions of quadratic characters of prime modulus

DOI10.1007/s40993-020-00193-2zbMath1468.11170arXiv1802.03413OpenAlexW3012107821MaRDI QIDQ2179909

Julio C. Andrade, Siegfred Alan C. Baluyot

Publication date: 13 May 2020

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

Full work available at URL: https://arxiv.org/abs/1802.03413

zbMATH Keywords

random matrix theoryone-level densitynon-vanishing resultsKatz-Sarnak philosophyratios conjectures

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Relations with random matrices (11M50)

Related Items (4)

Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point ⋮ One-level density of quadratic twists of $L$-functions ⋮ Nonvanishing of hyperelliptic zeta functions over finite fields ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions

Cites Work

• Unnamed Item
• Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory
• Autocorrelation of ratios of \(L\)-functions
• Quadratic residues and the distribution of prime numbers
• Discrepancies in the distribution of prime numbers
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• Low-lying zeros of \(L\)-functions and random matrix theory
• Surpassing the ratios conjecture in the 1-level density of Dirichlet \(L\)-functions
• Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point
• The n-level densities of low-lying zeros of quadratic Dirichlet L-functions
• Mean value theorems for L-functions over prime polynomials for the rational function field
• On the Mean Value of L(1/2, χ ) FW Real Characters
• On Small Zeros of Dirichlet L-Functions
• Zeroes of zeta functions and symmetry
• On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
• Notes on small class numbers
• Linear Statistics of Low-Lying Zeros of L-Functions
• One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries
• Small zeros of quadratic L-functions
• Applications of theL-functions ratios conjectures
• Number Theory

This page was built for publication: Small zeros of Dirichlet \(L\)-functions of quadratic characters of prime modulus