Wake Forest University

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19942026

most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

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math.NT2011

Quadratic forms representing all odd positive integers

Jeremy Rouse

We consider the problem of classifying all positive-definite integer-valued quadratic forms that represent all positive odd integers. Kaplansky considered this problem for ternary…

math.NT2011

Explicit bounds for sums of squares

Jeremy Rouse

For an even integer $k$ , let $r_{2 k} (n)$ be the number of representations of $n$ as a sum of $2 k$ squares. The quantity $r_{2 k} (n)$ is appoximated by the classical singular series…