Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class-Reference-Cited by-同舟云学术

Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class

Published:2016-07-26 Issue:06 Volume:12 Page:1529-1573
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Alaca Ayşe¹,Alaca Şaban¹,Williams Kenneth S.¹

Affiliation:

1. Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada

Abstract

An explicit formula is given for the representation number of each of the 75 reduced, positive-definite, integral, primitive, quaternary quadratic forms [Formula: see text], which belong to a genus with discriminant [Formula: see text] containing one and only one form class.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042116500950

Reference22 articles.

1. Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9

2. Representations by quaternary quadratic forms whose coefficients are 1, 4, 9 and 36

3. Nineteen quaternary quadratic forms

4. THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS

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