Symmetric square type L-series

2025/04/01 by Metzler, Ingmar · 1 citation
#11E45 #11F27 #11F30 #11F37 #11M36 (Primary) #11S40 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.00972

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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Related

• The Weil representation and Hecke operators for vector valued modular forms
• L-functions and higher order modular forms
• Real-analytic modular forms for Γ₀(N) and their L-series
• Computing Genus 1 Jacobi Forms
• Partitions and Hecke images