Jeremy A. Rouse

activity

20072023

most citedGalois theory of iterated endomorphisms

44 citations · 123 across the 26 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

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…