Newform theory for Hilbert Eisenstein series

DOI10.1007/s11139-012-9418-2zbMath1278.11053OpenAlexW1990204816MaRDI QIDQ1941055

Benjamin Linowitz, Timothy W. Atwill

Publication date: 11 March 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9418-2

zbMATH Keywords

newformEisenstein seriesHilbert modular form

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

Preimages for the Shimura map on Hilbert modular forms ⋮ The Fourier coefficients of Eisenstein series newforms ⋮ The sign changes of Fourier coefficients of Eisenstein series ⋮ On constant terms of Eisenstein series

Cites Work

• Unnamed Item
• Hilbert modular forms and the Gross-Stark conjecture
• Twists of newforms
• Hecke operators for \(\Gamma_ 0(N)\)
• Diagonalizing modular forms
• On \(p\)-adic representations for totally real fields
• The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
• The special values of the zeta functions associated with Hilbert modular forms
• Appendix: A refinement of the strong multiplicity one theorem for \(GL(2)\)
• Diagonalizing Hilbert cusp forms
• Decomposition theorems for Hilbert modular forms
• Twists of Hilbert Modular Forms
• A Note on Hecke Operators and Theta-Series

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