A Hecke correspondence theorem for automorphic integrals with infinite log-polynomial sum period functions

DOI10.1142/S1793042114500596zbMath1314.11032MaRDI QIDQ3191224

Austin Daughton

Publication date: 30 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Hecke correspondenceDirichlet seriesautomorphic integrallog-polynomial sum

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

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Rational period functions for \(\Gamma_0^+(2)\) with poles only in \(\mathbb{Q}\cup \{\infty\}\) ⋮ A correspondence of modular forms and applications to values of \(L\)-series

Cites Work

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• A Hecke correspondence theorem for automorphic integrals with symmetric rational period functions on the Hecke groups
• Some properties of modular relations
• Rational period functions of the modular group II
• Some new results on the Eichler cohomology of automorphic forms
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung