FACTORIZATION OF AUTOMORPHIC L-FUNCTIONS AND THEIR ZERO STATISTICS

DOI10.1142/S1793042113500310zbMath1318.11071OpenAlexW2069051110MaRDI QIDQ2850695

Timothy L. Gillespie

Publication date: 30 September 2013

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

Full work available at URL: https://doi.org/10.1142/s1793042113500310

zbMATH Keywords

base changeautomorphic L-functionautomorphic induction\(n\)-level correlation

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Solvable base change and Rankin-Selberg convolutions ⋮ On a Rankin-Selberg \(L\)-function over different fields

Cites Work

• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• Correlation of zeros of automorphic \(L\) -functions
• On the image and fibres of solvable base change.
• Zeros of principal \(L\)-functions and random matrix theory
• Rankin-Selberg Convolutions
• Le spectre résiduel de ${\rm GL}(n)$
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I
• On Euler Products and the Classification of Automorphic Forms II
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• A pair correlation hypothesis and the exceptional set in Goldbach's problem
• Superposition of zeros of distinct L-functions
• Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression
• Selberg's orthogonality conjecture for automorphic L -functions
• The pair correlation of zeros of the Riemann zeta function and distribution of primes

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