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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| Published in | 数学学报：英文版 no. 4; pp. 715 - 720 |
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| Format | Journal Article |
| Language | English |
| Published |
2001
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| Subjects | |
| Online Access | Get full text |
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| Abstract | <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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| AbstractList | <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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| Notes | 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 |
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| PublicationTitle | 数学学报：英文版 |
| PublicationTitleAlternate | Acta Mathematica Sinica |
| PublicationYear | 2001 |
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| Snippet | <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... |
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| SubjectTerms | Congruent curve;Tate-Shafarevich elliptic form;Class group;Modular number |
| Title | Representation of Integers by Ternary Quadratic Forms |
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