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CUSP FORMS IN S40 (79)) AND THE NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY SOME DIRECT SUM OF BINARY QUADRATIC FORMS WITH DISCRIMINANT -79
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 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;
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 Abstract
A basis of a subspace of is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms , , are determined.
 Keywords
cusp forms;representation number;theta series;
 Language
English
 Cited by
1.
Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6, Advances in Pure Mathematics, 2016, 06, 04, 212  crossref(new windwow)
2.
The Bases of and the Number of Representation of Integers, Mathematical Problems in Engineering, 2013, 2013, 1  crossref(new windwow)
3.
Fourier Coefficients of a Class of Eta Quotients of Weight 16 with Level 12, Applied Mathematics, 2015, 06, 08, 1426  crossref(new windwow)
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  crossref(new windwow)
 References
1.
H. Ivaniec and E. Kowalski, Analytic Number Theory, American Mathematical Society Colloquium publications volume 53, 2000.

2.
G. Lomadze, On the number of representations of positive integers by a direct sum of binary quadratic forms with discriminant -23, Georgian Math. J. 4 (1997), no. 6, 523-532. crossref(new window)

3.
T. Miyake, Modular Forms, Springer-Verlag, 1989.