most citedBounds for standard $L$-functions

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2 papers

math.NT2026★ 1 cited

Bounds for standard -functions

Paul D. Nelson

Let be a cuspidal automorphic representation of a general linear group over the rational numbers. We establish a subconvex bound for the standard -function of in the $…

math.NT2025

Quantum variance on quaternion algebras, III

Paul D. Nelson

We determine the asymptotic quantum variance of microlocal lifts of Hecke--Maass cusp forms on the arithmetic compact hyperbolic surfaces attached to maximal orders in quaternion a…