CUSP FORMS IN S40 (79)) AND THE NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY SOME DIRECT SUM OF BINARY QUADRATIC FORMS WITH DISCRIMINANT -79

Title & Authors
CUSP FORMS IN S40 (79)) AND THE NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY SOME DIRECT SUM OF BINARY QUADRATIC FORMS WITH DISCRIMINANT -79
Kendirli, Baris;

Abstract
A basis of a subspace of $\small{S_4({\Gamma}_0(79))}$ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $\small{x^2_1+x_1x_2+20x^2_2}$, $\small{4x^2_1{\pm}x_1x_2+5x^2_2}$, $\small{2x^2_1{\pm}x_1x_2+10x^2_2}$ are determined.
Keywords
cusp forms;representation number;theta series;
Language
English
Cited by
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2.
The Bases of and the Number of Representation of Integers, Mathematical Problems in Engineering, 2013, 2013, 1
3.
Fourier Coefficients of a Class of Eta Quotients of Weight 16 with Level 12, Applied Mathematics, 2015, 06, 08, 1426
4.
Cusp forms in S 6(Γ 0(23)), S 8(Γ 0(23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables, The Ramanujan Journal, 2014, 34, 2, 187
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