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On the growth of the Petersson norms of Fourier–Jacobi coefficients of Siegel cusp forms
Author(s) -
Kohnen Winfried
Publication year - 2011
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdr005
Subject(s) - cusp (singularity) , mathematics , cusp form , fourier series , siegel modular form , pure mathematics , type (biology) , fourier transform , genus , mathematical analysis , geometry , zoology , geology , paleontology , modular form , biology
We give an estimate from above and below for Petersson norms of Fourier–Jacobi coefficients of Siegel cusp forms of genus n > 1 relative to the maximal parabolic subgroup of type ( n − 1, 1).
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