Twists of newforms

DOI10.1016/0022-314X(90)90119-CzbMath0714.11028MaRDI QIDQ750494

Hiroaki Hijikata, Arnold K. Pizer, Thomas R. Shemanske

Publication date: 1990

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

zbMATH Keywords

trace formulaHecke operatorcusp formtwistsDirichlet characterspaces of newforms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (6)

Lifting newforms to vector-valued modular forms for the Weil representation ⋮ Twists of Hilbert Modular Forms ⋮ Root number bias for newforms ⋮ Newform theory for Hilbert Eisenstein series ⋮ On the reductions of certain two-dimensional crystalline representations ⋮ Hecke structure of spaces of half-integral weight cusp forms

Cites Work

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• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Newforms and functional equations
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Hecke operators on \(\Gamma_0(m)\)
• On zeta functions of quaternion algebras
• On automorphic forms on \(\mathrm{GL}_2\) and Hecke operators
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
• The basis problem for modular forms on Γ₀(𝑁)

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