A SEMI-ADELIC KUZNETSOV FORMULA OVER NUMBER FIELDS

DOI10.1142/S1793042113500498zbMath1334.11034arXiv1209.5220OpenAlexW3098319177MaRDI QIDQ2866992

Péter Maga

Publication date: 10 December 2013

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

Full work available at URL: https://arxiv.org/abs/1209.5220

zbMATH Keywords

Poincaré seriesautomorphic formsFourier coefficients of cusp forms and Eisenstein seriesweighted sum of Kloosterman sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30)

Related Items (6)

Density theorems for exceptional eigenvalues for congruence subgroups ⋮ A note on spectral analysis in automorphic representation theory for GL₂: I ⋮ The spectral decomposition of shifted convolution sums over number fields ⋮ On the Kuznetsov trace formula for \(\operatorname{PGL}_2(\mathbb{C})\) ⋮ Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field

Cites Work

• Unnamed Item
• Twisted \(L\)-functions over number fields and Hilbert's eleventh problem
• Sum formula for \(SL_2\) over a number field and Selberg type estimates for exceptional eigenvalues
• A note on the mean value of the zeta and \(L\)-functions. XIII.

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