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 50 条

[1] Representation of integers by ternary quadratic forms
Li, DL
Zhao, CL
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (04): : 715 - 720
[2] Representation of Integers by Ternary Quadratic Forms
De Lang LI
Chun Lai ZHAO Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2001, 17 (04) : 715 - 720
[3] Representation of integers by positive ternary quadratic forms
Qin, Hourong
[J]. MATHEMATICAL RESEARCH LETTERS, 2017, 24 (02) : 535 - 548
[4] Representation of integers by isotropic ternary quadratic forms
Pachev, U. M.
[J]. IZVESTIYA MATHEMATICS, 2006, 70 (03) : 587 - 604
[5] REPRESENTATION OF SPINOR EXCEPTIONAL INTEGERS BY TERNARY QUADRATIC-FORMS
EARNEST, AG
[J]. NAGOYA MATHEMATICAL JOURNAL, 1984, 93 (MAR) : 27 - 38
[6] On representation of integers by indefinite ternary quadratic forms of quadratfrei determinant
Ross, AE
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1933, 55 : 293 - 302
[7] On representation of integers by quadratic forms
Ross, AE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1932, 18 : 600 - 608
[8] ON THE REPRESENTATION OF INTEGERS BY QUADRATIC FORMS
DOLCIANI, MP
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (11): : 1109 - 1110
[9] On the representation of integers by quadratic forms
Browning, T. D.
Dietmann, R.
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2008, 96 : 389 - 416
[10] REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS
Kane, Ben
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (01) : 127 - 159

← 1 2 3 4 5 →