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The Diophantine equation y2 = x(x2 + 21Dx + 112D2) and the conjectures of Birch and Swinnerton-Dyer

Published online by Cambridge University Press:  09 April 2009

A. R. Rajwade
A. R. Rajwade
Affiliation:
Mathematics Department, Panjab University, Chandigarh, India.
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Abstract

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Some of the conjectures of Birch and Swinnerton-Dyer have been verified for curves with complex multiplication by √ — 7. The L-function LD(1) of such curves at the point s = 1 is written as a finite sum of division values of p-functions and the integer property of LD(1) is proved.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 3 , November 1977 , pp. 286 - 295
Copyright
Copyright © Australian Mathematical Society 1977

References

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