Adelic Voronoï summation and subconvexity for GL(2) L-functions in the depth aspect

DOI10.1142/S1793042121500470zbMath1480.11057arXiv1805.00974MaRDI QIDQ5009084

Edgar Assing

Publication date: 19 August 2021

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

Full work available at URL: https://arxiv.org/abs/1805.00974

zbMATH Keywords

subconvexityVoronoi summationautomorphic representationsdepth aspect

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

Voronoï summation for GLn: collusion between level and modulus

Cites Work

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• On the Ramanujan conjecture over number fields
• Lectures on a method in the theory of exponential sums
• Subconvexity for modular form \(L\)-functions in the \(t\) aspect
• The subconvexity problem for \(\mathrm{GL}_2\)
• Automorphic forms on GL (2)
• Decoupling, exponential sums and the Riemann zeta function
• $p$-adic analytic twists and strong subconvexity
• The square mean of Dirichlet series associated with cusp forms
• Large Values of Newforms on GL(2) with Highly Ramified Central Character
• On the size of 𝑝-adic Whittaker functions
• Bessel functions for \(\mathrm{GL}_2\)

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