2026-09-20T18:30:13Zhttps://wakespace.lib.wfu.edu/server/oai/request

oai:null:10339/571682026-09-02T13:33:39Zcom_10339_14934col_10339_38132

DeBenedetto, Justin Donald 2015-06-23T08:35:57Z 2015-06-23T08:35:57Z 2015 https://wakespace.lib.wfu.edu/handle/10339/57168 Drawing up on the methods developed by Bhargava to prove "The Fifteen Theorem" and expanded by Rouse when handling integer-valued quadratic forms representing odd integers, we show that an integer-valued quadratic form representing all positive integers coprime to 3 up to 290 must represent all positive integers coprime to 3. We further this result by enumerating a list of 31 critical numbers such that representing all numbers on the list guarantees an integer-valued quadratic form represents all positive integers coprime to 3. Finally, we show that no numbers can be removed from this list. en Wake Forest University Local Density Modular Forms Number Theory Quadratic Forms Quadratic Forms Representing All Integers Coprime to 3 Thesis Rouse, Jeremy Howards, Hugh N Berenhaut, Kenneth S Mathematics open.access