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ON THE NUMBER OF REPRESENTATIONS BY POSITIVE-DEFINITE INTEGER-VALUED QUATERNARY QUADRATIC FORMS

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abstract
Let {Q1, Q2, . . . , Qs} be a finite set of positive-definite integer-valued quaternary quadratic forms. We show that there exists a primitive positive-definite integer-valued quaternary quadratic form Q and a positive integer n such that Q represents n more times than Qi for all 1 ≤ i ≤ s.
subject
number of representations
quadratic form
contributor
Wu, Haochen (author)
Rouse, Jeremy (committee chair)
Bourdon, Abbey (committee member)
Berenhaut, Kenneth (committee member)
date
2021-06-03T08:36:07Z (accessioned)
2021-06-03T08:36:07Z (available)
2021 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/98807 (uri)
language
en (iso)
publisher
Wake Forest University
title
ON THE NUMBER OF REPRESENTATIONS BY POSITIVE-DEFINITE INTEGER-VALUED QUATERNARY QUADRATIC FORMS
type
Thesis

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