A Generalization of a Result of Birch and Swinnerton-Dyer

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Authors

  • Leetika Kathuria
     Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014 ,IN
  • Madhu Raka
     Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014 ,IN

DOI:

https://doi.org/10.18311/jims/2018/20142

Keywords:

Minkowski's Conjecture, Lattices, Homogeneous Minimum, Non-homogeneous, Linear Forms, Unimodular Transformation
Mathematical Analysis & Logic

Abstract

In this paper, we give a proof of the generalization of a result of Birch and Swinnerton-Dyer [1956], which has been used by Hans-Gill, Sehmi and authors while obtaining estimates on the classical conjecture of Minkowski on the product of n non-homogeneous linear forms.

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Published

2018-06-01

How to Cite

Kathuria, L., & Raka, M. (2018). A Generalization of a Result of Birch and Swinnerton-Dyer. The Journal of the Indian Mathematical Society, 85(3-4), 342–355. https://doi.org/10.18311/jims/2018/20142

Issue

Volume 85, Issue 3-4, July-December 2018

Section

Articles

License

Copyright (c) 2018 Leetika Kathuria, Madhu Raka

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Received 2018-03-09
Accepted 2023-01-30
Published 2018-06-01

 

References

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Gruber, P., Convex and discrete geometry, Springer Grundlehren Series, Vol. 336, 2007.

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