Formulas for the Fourier coefficients of cusp form for some quadratic forms (correction to a paper by Ahmet Tekcan with the same title)

Authors : Barış KENDİRİ

Pages : 139-144

Doi:10.3906/mat-1110-32

View : 11 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this study M1insert ignore into journalissuearticles values(G 0insert ignore into journalissuearticles values(3); ,c -3); , M2insert ignore into journalissuearticles values(G0insert ignore into journalissuearticles values(5);, c 5); and M3insert ignore into journalissuearticles values(G 0insert ignore into journalissuearticles values(7);,c -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 3x12+3x1x2+x22, 5insert ignore into journalissuearticles values(x12+x1x2+x1x3+x1x4+x22+x2x3+ x2x4+x32+x3x4);+2x42, and 7insert ignore into journalissuearticles values(x12+x1x2+x1x3+x1x4+x1x5+x22+x2x3+x2x4+x2x5+ x32+x3x4+x3x5+x42+x4x5+x52+7insert ignore into journalissuearticles values(x1x6+x2x6+x3x6+ x4x6+x5x6);+3x62, are determined. This work is a correction to a paper of the same title by Ahmet Tekcan [5].
Keywords : Key words Quadratic forms, representation numbers, theta series, cusp forms 11E25, 11E76