Eisenstein series of 3/2 weight and eligible numbers of positive definite ternary forms

DOI10.1007/BF03322691zbMath1018.11019OpenAlexW2160630012MaRDI QIDQ5943575

Pei Dingyi, Xue-Li Wang, Gerhard Rosenberger

Publication date: 14 September 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322691

zbMATH Keywords

algorithmelliptic curveseligible numbersnumber of representationspositive definite ternary quadratic form

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Elliptic curves over global fields (11G05) Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11)

Uses Software

• ecdata

Cites Work

• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• Thetareihen positiv definiter quadratischer Formen
• Fourier coefficients of modular forms of half-integral weight
• Hyperbolic distribution problems and half-integral weight Maass forms
• Almost strong approximations for definite quadratic spaces
• A trace formula for the scalar product of Hecke series and its applications
• Ramanujan's ternary quadratic form
• On modular forms of half integral weight
• Eisenstein Series of Weight 3/2. I
• The First Nontrivial Genus of Positive Definite Ternary Forms
• The eligible numbers of positive definite ternary forms
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