Turkish Journal of Mathematics
DOI
10.3906/mat-1110-32
Abstract
In this study M_1(\Gamma _0(3) ,\chi _{-3}) , M_2(\Gamma_0(5), \chi _5) and M_3(\Gamma _0(7),\chi _{-7}) have been examined and the formulas for the Fourier Coefficients of theta series and the representation number of positive integers by some quadratic forms 3x_1^2+3x_1x_2+x_2^2, 5(x_1^2+x_1x_2+x_1x_3+x_1x_4+x_2^2+x_2x_3+ x_2x_4+x_3^2+x_3x_4)+2x_4^2, and 7(x_1^2+x_1x_2+x_1x_3+x_1x_4+x_1x_5+x_2^2+x_2x_3+x_2x_4+x_2x_5+ x_3^2+x_3x_4+x_3x_5+x_4^2+x_4x_5+x_5^2+7(x_1x_6+x_2x_6+x_3x_6+ x_4x_6+x_5x_6)+3x_6^2, are determined. This work is a correction to a paper of the same title by Ahmet Tekcan [5].
Keywords
Quadratic forms, representation numbers, theta series, cusp forms 11E25, 11E76
First Page
139
Last Page
144
Recommended Citation
KENDİRLİ, BARIŞ
(2013)
"Formulas for the Fourier coefficients of cusp form for some quadratic forms (correction to a paper by Ahmet Tekcan with the same title),"
Turkish Journal of Mathematics: Vol. 37:
No.
1, Article 13.
https://doi.org/10.3906/mat-1110-32
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss1/13
