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
- 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