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Calculation of traces of theta series by means of the Weil representation

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Publication:1293331
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DOI10.1215/kjm/1250518060zbMath0999.11022OpenAlexW1495942305MaRDI QIDQ1293331

Takahiro Kume

Publication date: 29 November 1999

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518060


zbMATH Keywords

local trace operatorlocal Weil representation


Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)


Related Items

Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients ⋮ On the action of the \(U_p\) operator on the local (at \(p\)) representation attached to congruence level Siegel modular forms ⋮ Theta series and trace operators for \(\Gamma_n [ q\)] ⋮ Trace operator and theta series



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