An identity connecting theta series associated with binary quadratic forms of discriminant \(\Delta\) and \(\Delta(\mathrm{prime})^2\)

DOI10.1016/j.jnt.2015.04.022zbMath1322.11027arXiv1409.6280OpenAlexW2209403856MaRDI QIDQ2352021

Frank Patane

Publication date: 29 June 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6280

zbMATH Keywords

Lambert seriesbinary quadratic formsrepresentation of integersgenus of formsidoneal quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Class numbers of quadratic and Hermitian forms (11E41) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Other abelian and metabelian extensions (11R20) General binary quadratic forms (11E16)

Cites Work

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• Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms
• Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients
• Quadratic forms that represent almost the same primes
• Representations of certain binary quadratic forms as Lambert series
• Elliptic Functions and the Appell Theta Functions

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