32 citations · 35 across the 4 of their papers we have counts for
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math.NT2007★ 32 cited
Garaev's Inequality in finite fields not of prime order
Nets Hawk Katz, Chun-Yen Shen
We prove a version of Garaev's sum product theorem in the set of finite fields with non-prime order. Because of the presence of subfields, this seems to require some hypotheses on…
math.NT2007★ 2 cited
A Slight Improvement to Garaev's Sum Product Estimate
Nets Hawk Katz, Chun-Yen Shen
We slightly improve Garaev's recent sum-product estimate largely by using Plunneke's inequality a little more efficiently. We improve the exponent from 15/14 to 14/13.