The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2
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Publication:1188022
DOI10.1007/BF02570834zbMath0773.11031MaRDI QIDQ1188022
Siegfried Böcherer, Rainer Schulze-Pillot
Publication date: 3 August 1992
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174364
Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
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Cites Work
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- Dirichlet series corresponding to Siegel's modular forms of degree n with level N
- Sur les coefficients de Fourier des formes modulaires de poids demi-entier
- Siegel's modular forms and the arithmetic of quadratic forms
- Engendrement par des séries theta de certains espaces de formes modulaires
- On a theorem of Waldspurger and on Eisenstein series of Klingen type
- Über die Berechnung der Skalarprodukte ganzer Modulformen
- Modular forms of degree two and Dirichlet series
- On Siegel modular forms obtained form theta series.
- Siegel modular forms and theta series attached to quaternion algebras
- Ternary quadratic forms and Brandt matrices
- Ternary quadratic forms and Shimura’s correspondence
- ANALYTIC PROPERTIES OF EULER PRODUCTS FOR CONGRUENCE-SUBGROUPS OF Sp2(Z)
- Newforms of half-integral weight.
- EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
- Correspondances de Shimura et quaternions
- The Scalar Product of Modular Forms
- Über Dirichlet-Reihen mit Funktionalgleichung.