Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes

DOI10.3906/mat-1910-99zbMath1493.11080OpenAlexW3102818055MaRDI QIDQ5099797

Şaban Alaca, Kenneth S. Williams, Ayşe Alaca

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1910-99

zbMATH Keywords

thetaDedekind eta functioneta quotientsgenus of quaternary quadratic formsrepresentaion number

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) Dedekind eta function, Dedekind sums (11F20)

Related Items (1)

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

Cites Work

• Theta products and eta quotients of level 24 and weight 2
• The number of representations of a positive integer by certain octonary quadratic forms
• Eta Products and Theta Series Identities
• On the number of representations of a positive integer as a sum of two binary quadratic forms
• Modular Forms
• Infinite products with coefficients which vanish on certain arithmetic progressions
• Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9
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