Turkish Journal of Mathematics
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.
DOI
-
Keywords
representation of numbers, quadratic forms, generalized theta series, Fourier coefficient of cusp forms
First Page
141
Last Page
156
Recommended Citation
TEKCAN, A (2005). Formulas for the Fourier Coefficients of Cusp Form for Some Quadratic Forms. Turkish Journal of Mathematics 29 (2): 141-156. https://doi.org/-
