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Symmetric square type $L$-series

Published 1 Apr 2025 in math.NT and math.RT | (2504.00972v1)

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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