Turkish Journal of Mathematics
DOI

Abstract
In this paper, representations of positive integers by certain quadratic forms Q_p defined for odd prime p are examined. The number of representations of positive integer n by the quadratic form Q_p, is denoted by r(n;Q_p), obtained for p=3,5 and 7.\thinspace We prove that r(n;Q_p)=\rho (n;Q_p)+\vartheta (n;Q_p) for p=3,5 and 7, where \rho (n;Q_p) is the singular series and \vartheta (n;Q_p) is the Fourier coefficient of cusp form.
Keywords
representation of numbers, quadratic forms, generalized theta series, Fourier coefficient of cusp forms
First Page
141
Last Page
156
Recommended Citation
TEKCAN, AHMET (2005) "Formulas for the Fourier Coefficients of Cusp Form for Some Quadratic Forms," Turkish Journal of Mathematics: Vol. 29: No. 2, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol29/iss2/4