The spectral decomposition of shifted convolution sums over number fields

DOI10.1515/crelle-2016-0018zbMath1457.11069OpenAlexW2464898352MaRDI QIDQ1992246

Péter Maga

Publication date: 5 November 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/49321/1/the_spectral_decomposition_of_shifted_convolution_sums_over_number_fields.pdf

zbMATH Keywords

cuspidal automorphic representationsHecke eigenvaluesshifted convolution sums

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field

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