논문KCI 등재
CUSP FORMS IN S4 (r0 (79)) AND THE NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY SOME DIRECT SUM OF BINARY QUADRATIC FORMS WITH DISCRIMINANT -79
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참고문헌
키워드
주제분류수학
초록
A basis of a subspace of $S_{4}\left( \Gamma _{0}\left( 79\right) \right) $ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $x_{1}^{2}+x_{1}x_{2}+20x_{2}^{2},$ $ 4x_{1}^{2}\pm x_{1}x_{2}+5x_{2}^{2},$ $2x_{1}^{2}\pm x_{1}x_{2}+10x_{2}^{2}$ are determined.
Abstract
A basis of a subspace of $S_{4}\left( \Gamma _{0}\left( 79\right) \right) $ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $x_{1}^{2}+x_{1}x_{2}+20x_{2}^{2},$ $ 4x_{1}^{2}\pm x_{1}x_{2}+5x_{2}^{2},$ $2x_{1}^{2}\pm x_{1}x_{2}+10x_{2}^{2}$ are determined.
참고문헌 (3)
- H. Ivaniec, "Analytic Number Theory", American Mathematical Society Colloquium publications, 53 (2000)
- 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(6), pp.523~532 (1997)
- T. Miyake, "Modular Forms" (1989), Springer-Verlag
관련 논문AI추천
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