Articles with "siegel modular" as a keyword



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Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables

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Published in 2017 at "Mathematische Annalen"

DOI: 10.1007/s00208-016-1448-4

Abstract: Let $$-d$$-d be a a negative discriminant and let T vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $$-d$$-d. We prove an asymptotic formula for… read more here.

Keywords: averages fourier; siegel modular; coefficients siegel; binary quadratic ... See more keywords
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Dimension formulas for Siegel modular forms of level 4

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Published in 2022 at "Mathematika"

DOI: 10.1112/mtk.12207

Abstract: We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree $2$ with respect to certain congruence subgroups of level $4$. In case of cusp forms, all modular forms considered originate from… read more here.

Keywords: dimension formulas; modular forms; siegel modular; formulas siegel ... See more keywords