Representation of Integers by Ternary Quadratic Forms

<正> In this paper we give a formula for the number of representations of some square-freeintegers by certain ternary quadratic forms and estimate the lower bound of the 2-power appearing inthis number.

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Bibliographic Details
Published in数学学报：英文版 no. 4; pp. 715 - 720
Format Journal Article
LanguageEnglish
Published 2001
Subjects
Congruent
curve;Tate-Shafarevich
elliptic
form;Class
group;Modular
number
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Summary:<正> In this paper we give a formula for the number of representations of some square-freeintegers by certain ternary quadratic forms and estimate the lower bound of the 2-power appearing inthis number.
Bibliography:Congruent elliptic curve;Tate-Shafarevich group;Modular form;Class number
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.
De Lang LI;Chun Lai ZHAO Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China Department of Mathematics, Peking University, Beijing 100871, P. R. China
11-2039/O1
ISSN:1439-8516
1439-7617
DOI:10.1007/s101140100135