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<p>We construct symmetric square type <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>L</mi> </math></EquationSource> </InlineEquation>-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.</p>

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Symmetric square type L–series

  • 期刊论文

  • 发表日期：

    2026年2月18日

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  • Ingmar Metzler

摘要

We construct symmetric square type \(L\) 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.