On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms

DOI10.1007/BF01168682zbMath0602.10019MaRDI QIDQ1081629

Koichi Takase

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155133

zbMATH Keywords

Hilbert modular formstrace formulaL-functiontotally real number fieldsnarrow class number one

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) 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)

KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS ⋮ Algebraicity of the central critical values of twisted triple product \(L\)-functions ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ The structure of mixed weight Hilbert modular forms

Cites Work

• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On automorphic forms on \(mathrm{GL}_2\) and Hecke operators
• On discontinuous groups operating on the product of the upper half planes
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• Automorphic forms and algebraic extensions of number fields
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