Theta functions of nineteen non-diagonal positive-definite quaternary quadratic forms of discriminant 784 with levels 28 or 56

DOI10.1007/s13226-022-00278-xOpenAlexW4288704391MaRDI QIDQ6107497

Ayşe Alaca

Publication date: 3 July 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-022-00278-x

zbMATH Keywords

modular formtheta functionDedekind eta functionrepresentation numbereta quotientclass of a quaternary quadratic formgenus of a quaternary quadratic form

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• Eta Products and Theta Series Identities
• On the number of representations of a positive integer as a sum of two binary quadratic forms
• Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes
• Modular Forms
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