On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields

DOI10.1016/j.jfa.2019.05.013zbMath1472.11138arXiv1808.05398OpenAlexW2962679880WikidataQ127796551 ScholiaQ127796551MaRDI QIDQ2324741

Zhi Qi, Jingsong Chai

Publication date: 12 September 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05398

zbMATH Keywords

relative trace formulaRamanujan conjectureWaldspurger correspondenceWaldspurger formula

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) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Bessel identities in the Waldspurger correspondence over the complex numbers ⋮ On the Fourier transform of Bessel functions over complex numbers—II: The general case

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