Zeros of \(\mathrm{GL}_2 \, L\)-functions on the critical line

DOI10.1515/forum-2020-0104zbMath1486.11068arXiv2004.03581OpenAlexW3015783161MaRDI QIDQ2126298

Jesse Thorner, Nickolas Andersen

Publication date: 19 April 2022

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

Full work available at URL: https://arxiv.org/abs/2004.03581

zbMATH Keywords

spectral decompositioncritical zerosautomorphic \(L\)-functionshifted convolution sumMaaß form

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

A zero density estimate and fractional imaginary parts of zeros for L-functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A short proof of Levinson's theorem
• On the Ramanujan conjecture over number fields
• The spectral decomposition of shifted convolution sums
• Twisted \(L\)-functions over number fields and Hilbert's eleventh problem
• Zeros on the critical line for Dirichlet series attached to certain cusp forms
• Kloosterman sums and Fourier coefficients of cusp forms
• Zeros of derivatives of Riemann's xi-function on the critical line
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• More than five-twelfths of the zeros of \(\zeta\) are on the critical line
• The second moment of twisted modular \(L\)-functions
• Rankin-Selberg \(L\)-functions on the critical line
• On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms
• Zeros on the critical line for Maass wave form L-functions.
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Modular case of Levinson's theorem

This page was built for publication: Zeros of \(\mathrm{GL}_2 \, L\)-functions on the critical line