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Trace operators and theta series for Γ0,n[q] and Γn[q]

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Abstract

We consider the action of suitable trace operators on non homogeneous theta series that are Siegel modular forms for the principal congruence subgroups of the symplectic group of level q, Γn[q]. Then, we prove that modular forms for the Hecke subgroup of level q, Γ0,n[q], that are linear combination of such theta series, can also be expressed as combination of (homogeneous) theta series that are modular forms with respect to Γ0,n[q].

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  1. Dipartimento di Matematica, Università di Roma ‘‘La Sapienza’’, Piazzale Aldo Moro, 2-00185, Roma, Italy

    Francesco L. Chiera

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  1. Francesco L. Chiera
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Correspondence to Francesco L. Chiera.

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Chiera, F. Trace operators and theta series for Γ0,n[q] and Γn[q]. Math. Z. 245, 581–596 (2003). https://doi.org/10.1007/s00209-003-0556-5

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  • DOI: https://doi.org/10.1007/s00209-003-0556-5

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