Browsing by Subject "Number Theory"

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Browsing by Subject "Number Theory"

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  • Kaminski, Lance (Kansas State University, 2009)
    This thesis will look at Quadratic Diophantine Equations. Some well known proofs, including how to compute all Pythagorean triples and which numbers can be represented by the sum of two and four squares will be presented. ...
  • Cipra, James Arthur (Kansas State University, 2010)
    This thesis establishes bounds (primarily upper bounds) on Waring's number in finite fields. Let $p$ be a prime, $q=p^n$, $\mathbb F_q$ be the finite field in $q$ elements, $k$ be a positive integer with $k|(q-1)$ and $t= ...