On the space of theta functions whose levels are square-free

DOI10.1007/s10986-021-09509-wzbMath1478.11055OpenAlexW3125771540MaRDI QIDQ2038968

Kennichi Sugiyama

Publication date: 7 July 2021

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-021-09509-w

zbMATH Keywords

theta functionquaternion algebraBrandt matrixHecke conjecture

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Curves over finite and local fields (11G20) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11) Modular and Shimura varieties (14G35) Automorphic forms, one variable (11F12) Automorphism groups of lattices (11H56)

Cites Work

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• Hecke operators on \(\Gamma_0(m)\)
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
• Siegel modular forms and theta series attached to quaternion algebras
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Les Schémas de Modules de Courbes Elliptiques
• On the space of theta functions for a prime level

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