•  
  •  
 

Turkish Journal of Mathematics

Authors

AHMET TEKCAN

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.

First Page

141

Last Page

156

Included in

Mathematics Commons

Share

COinS