“School of Mathematics”
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Paper IPM / M / 16420 |
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Abstract: | |
Let \mathbbFq be a finite field of order q, where q is a power of a prime. For a set A ⊂ \mathbbFq, under certain structural restrictions, we prove a new explicit lower bound on the size of the product set A(A + 1). Our result improves on the previous best known bound due to Zhelezov and holds under more relaxed restrictions.
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