Modular forms

DOI10.1007/BF01090176zbMath0518.10027OpenAlexW4211214158MaRDI QIDQ1053732

Alexei A. Panchishkin

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01090176

zbMATH Keywords

liftingbibliographyautomorphic formsmodular formssurvey articleArtin conjecturerepresentation theory of groupsL- functions

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Theta series; Weil representation; theta correspondences (11F27) Local ground fields in algebraic geometry (14G20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Holomorphic modular forms of integral weight (11F11) Representations of Lie and linear algebraic groups over local fields (22E50) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37) Global ground fields in algebraic geometry (14G25) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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• Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
• Elliptic curves and automorphic representations
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• Modular forms arising from spherical polynomials and positive definite quadratic forms
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
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• On the conjecture of Birch and Swinnerton-Dyer
• On the periods of modular forms
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
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• On the functional equation of certain Dirichlet series
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• On modular forms of half integral weight
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• Formes Modulaires et Representations De GL(2)
• Les Constantes des Equations Fonctionnelles des Fonctions L
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• Finite Groups and Modular Functions
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• Modular Forms from Codes

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