Representation of Integers by Ternary Quadratic Forms

被引：0

作者：

Li D.L. ^{[1
]}

Zhao C.L. ^{[2
]}

机构：

[1] Department of Mathematics, Sichuan University

[2] Department of Mathematics, Peking University

来源：

Acta Mathematica Sinica | 2001年 / 17卷 / 4期

关键词：

Class number; Congruent elliptic curve; Modular form; Tate-Shafarevich group;

D O I：

10.1007/s101140100135

中图分类号：

学科分类号：

摘要：

In this paper we give a formula for the number of representations of some square-free integers by certain ternary quadratic forms and estimate the lower bound of the 2-power appearing in this number.

引用

页码：715 / 720

页数：5

共 6 条

[1]

Tunnell J.B., A classical Diophantine problem and modular forms of weight 3/2, Invent. Math., 72, pp. 323-334, (1983)

[2]

Pei D., Modular Forms and Ternary Quadratic Forms, (1994)

[3]

Zhao C., A criterion for elliptic curves with lowest 2-power in L(1), Math. Proc. Camb. Phil. Soc., 121, pp. 385-400, (1997)

[4]

Zhao C., A Criterion for Elliptic Curves with Second Lowest 2-power in L(1)

[5]

Zhao C., A Criterion for Elliptic Curves with Second Lowest 2-power in L(1)(II)

[6]

Cohn H., Advanced Number Theory, (1980)

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