On the Number of Representation of Integers by the Direct Sum of BQFs with Discriminant -191

Authors

  • Bulent Kokluce Fatih University

Keywords:

Quadratic Forms, Representation Numbers, Theta Series, Cusp Forms

Abstract

In this study we find a basis of the space S4(Γ0(191)) and derive explicit formulae for the number of representation of positive integers by all possible direct sum of 13 quadratic forms from the representatives x12 + x1 x2 + 48x2, 2x12 + x1 x2 + 24x2, 3x12 + x1 x2 + 16x2, 4x12 + x1 x2 + 12x2, 5x12 + 3x1 x2 + 10x2, 6x12 + x1 x2 + 8x2, 6x12 + 5x1 x2 + 9x2 of the class group of equivalence classes of quadratic forms with discriminant −191. 

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Published

2012-11-07

Issue

Vol. 5 No. 4: (October 2012)

Section

Number Theory

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How to Cite

On the Number of Representation of Integers by the Direct Sum of BQFs with Discriminant -191. (2012). European Journal of Pure and Applied Mathematics, 5(4), 451-468. https://www.ejpam.com/index.php/ejpam/article/view/1623