Symmetric square type $L$-series

Ingmar Metzler

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arXiv · 2504.00972

Symmetric square type $L$-series

Ingmar Metzler

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Abstract

We construct symmetric square type $L$-series for vector-valued modular forms transforming under the Weil representation associated to a discriminant form. We study Hecke operators and integral representations to investigate their properties, deriving functional equations and infinite product expansions.

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Ingmar Metzler. 2025-04-01. Symmetric square type $L$-series. https://arxiv.org/abs/2504.00972

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