Cusp Forms inS4(Γ0(47))and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant−47

Bar??Kendirli

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Cusp Forms inS4(Γ0(47))and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant−47

机译：S4（Γ0（47））中的尖锐形式和带有判别式-47的二元二次形式的一些直接和表示的正整数的数量

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A basis ofS4(Γ0(47))is given and the formulas for the number of representationsof positive integers by some direct sum of the quadratic formsx12+x1x2+12x22,2x12±x1x2+6x22,3x12±x1x2+4x22are determined.

机译：给出了S4（Γ0（47））的基础，并确定了由二次形式x12 + x1x2 + 12x22,2x12±x1x2 + 6x22,3x12±x1x2 + 4x22的一些直接和构成的正整数表示数量的公式。

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《International journal of mathematics and mathematical sciences》 |2012年第1期|共10页
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Bar??Kendirli;
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1. Cusp Forms in S_4(Γ_0(47))and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant -47 [J] . Barr Kendirli International journal of mathematics and mathematical sciences . 2012,第2期

机译：S_4（Γ_0（47））中的尖锐形式和判别为-47的二元二次形式的一些直接和表示的正整数的数量
2. Cusp forms in $S_{4}left( Gamma _{0}left( 79right) right) $ and the number of representations of positive integers by some direct sum of binary quadratic forms with discriminant $-79$ [J] . Baric{s} Kend.{i}rl.{i} Bulletin of the Korean Mathematical Society . 2012,第3期

机译：$ S_ {4} left（Gamma _ {0} left（79right）right）$中的尖锐形式以及正整数的表示形式，它们由具有判别$ -79 $的二进制二次形式的某些直接和构成
3. CUSP FORMS AND NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY DIRECT SUM OF BINARY QUADRATIC FORMS [J] . Müberra GUREL International Journal of Electronics, Mechanical and Mechatronics Engineering . 2012,第4期

机译：二元二次形的直接和求和的形式和正整数的表示数目
4. Representation of integers by special positive definite integral quadratic forms [C] . Winfried Kohnen International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms . 2009

机译：通过特殊正定的积分二次形式表示整数
5. Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares. [D] . Constable, Jonathan A. 2016

机译：克罗内克（Kronecker）的二元双线性形式理论及其在将整数表示为三个平方和中的应用。
6. The Number of Representations Function for Positive Binary Quadratic Forms [O] . Gordon Pall 1931

机译：正二元二次形式的表示数量
7. Cusp Forms in and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant [O] . Barış Kendirli 2012

机译：CUSP通过一些直接和具有判别的二元二元形式的一定总和形式和正整数的表示的数量
8. Lower Bounds for Eigenvalues of a Quadratic Form Relative to a Positive Quadratic Form [R] . Fox, D. W., Bazley, N. W., Borsch-Supan, W. 1965

机译：相对于正二次型的二次型特征值的下界

Cusp Forms inS4(Γ0(47))and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant−47

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