On The Number of Representations of a Positive Integer by the Binary Quadratic Forms with Discriminants -128, -140

Teimuraz Vepkhvadze

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On The Number of Representations of a Positive Integer by the Binary Quadratic Forms with Discriminants -128, -140

机译：关于正整数的判别为-128，-140的二进制二次形式的表示数目

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摘要

We shall obtain the exact formulas for the number of representations by primitive binury qvadratic forms with discriminants -128 and -140.

机译：我们将获得具有判别式-128和-140的原始二元数qvadratic形式的表示数量的精确公式。

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《International Journal of Engineering Research and Applications》 |2016年第1期|共3页
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Teimuraz Vepkhvadze;
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1. On The Number of Representations of a Positive Integer by the Binary Quadratic Forms with Discriminants -128, -140 [J] . Teimuraz Vepkhvadze International Journal of Engineering Research and Applications . 2016,第1期

机译：关于正整数的判别为-128，-140的二进制二次形式的表示数目
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 inS4(Γ0(47))and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant−47 [J] . Bar??Kendirli International journal of mathematics and mathematical sciences . 2012,第1期

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
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. Computationally feasible bounds for representations of integers by ternary quadratic forms and CM lifts of supersingular elliptic curves. [D] . Kane, Ben. 2007

机译：通过三进制二次形式和超奇异椭圆曲线的CM提升来表示整数的计算可行边界。
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

On The Number of Representations of a Positive Integer by the Binary Quadratic Forms with Discriminants -128, -140

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