Browsing Electronic Theses, Dissertations, and Reports by Subject "Quadratic congruences"

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Small zeros of quadratic congruences to a prime power modulus

Hakami, Ali Hafiz Mawdah (Kansas State University, 2009-08-03)

Let $m$ be a positive integer, $p$ be an odd prime, and $\mathbb{Z}_{p^m } = \mathbb{Z}/(p^m )$ be the ring of integers modulo $p^m $. Let $$Q({\mathbf{x}}) = Q(x_1 ,x_2 ,...,x_n ) = \sum\limits_{1 \leqslant i \leqslant ...