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- W2562007504 abstract "Abstract We characterize Siegel cusp forms in the space of Siegel modular forms of large weight <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>k</m:mi> <m:mo>></m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo></m:mo> <m:mi>n</m:mi> </m:mrow> </m:mrow> </m:math> {k>2n} on any Siegel congruence subgroup Γ of any degree n and any level N , by a suitable growth of their Fourier coefficients (e.g., by the well-known Hecke bound) at any one of the cusps. For this, we use a ‘local’ approach as compared to our previous results on this topic. We also touch upon the question in the context of vector-valued modular forms." @default.
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- W2562007504 date "2016-01-05" @default.
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- W2562007504 title "Cuspidality and the growth of Fourier coefficients of modular forms" @default.
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- W2562007504 doi "https://doi.org/10.1515/crelle-2015-0075" @default.
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