The Journal of the Indian Mathematical Society

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A Generalization of a Result of Birch and Swinnerton-Dyer


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1 Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014, India
     

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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.

Keywords

Minkowski's Conjecture, Lattices, Homogeneous Minimum, Non-Homogeneous, Linear Forms, Unimodular Transformation.
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  • 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, India
Madhu Raka
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014, India

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.

Keywords


Minkowski's Conjecture, Lattices, Homogeneous Minimum, Non-Homogeneous, Linear Forms, Unimodular Transformation.

References