Eichler's commutation relation and some other invariant subspaces of Hecke operators

DOI10.1007/s11139-016-9831-zzbMath1426.11047OpenAlexW2532372920MaRDI QIDQ681070

Hourong Qin, Wei Lu

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9831-z

zbMATH Keywords

modular formtheta functionquadratic formsHecke operatorEichler's commutation relation

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (1)

Multiplicative property of representation numbers of ternary quadratic forms

Cites Work

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• On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\)
• Thetareihen positiv definiter quadratischer Formen
• On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\)
• Introduction to quadratic forms
• Hecke operators on theta series attached to lattices of arbitrary rank
• Ternary quadratic forms and Shimura’s correspondence
• Multiplicative arithmetic of theta-series of odd quadratic forms

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