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20132022
most citedNew results on sum-product type growth over fields

52 citations · 123 across the 14 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.NT2014

The square root law and structure of finite rings

A. Iosevich, B. Murphy, J. Pakianathan

Let be a finite ring and define the hyperbola . Suppose that for a sequence of finite odd order rings of size tending to infinity, the follow…

math.CO2014★ 1 cited

Variations on the Sum-Product Problem

Brendan Murphy, Oliver Roche-Newton, Ilya D. Shkredov

This paper considers various formulations of the sum-product problem. It is shown that, for a finite set , g…