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

Authors :
KENDİRLİ, Barış
Source :
Turkish Journal of Mathematics. Jan2013, Vol. 37 Issue 1, p139-144. 6p.
Publication Year :
2013

Abstract

In this study M1 (⌈0 (3) (χ-3), M2 (⌈0 (5), χ5) and M3 (Γ0 (7), χ - 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, 5(x1² + x1x2 + x1x3 + x14 + x1² + x2x3 + x2x4 + 3² + x3x4) + 2x4², and 7(x1² + x1x2 + x1x3 + x1x4 + x1x5 + x2² + x2x3 + x2x4 + x2x5 + x3² + x3x4 + x3x5 + x4² + x4x5 + x5² + 7 (x1x6 + x2x6 + x3x6 + x4x6) + 3x6², are determined. This work is a correction to a paper of the same title by Ahmet Tekcan [5]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13000098
Volume :
37
Issue :
1
Database :
Academic Search Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
91273833
Full Text :
https://doi.org/10.3906/mat-1110-32