Nonzero squares in F_q (q>13 odd prime power) cannot be a restricted sumset A hat+ A; generalizations to subgroups over fields and perfect powers over integers, plus a van Lint-MacWilliams analogue.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.NT 2years
2023 2verdicts
UNVERDICTED 2representative citing papers
New bounds showing that a nontrivial shift of a multiplicative subgroup containing a product set AB has |A||B| essentially bounded by |G|, plus first nontrivial upper bounds on generalized Diophantine tuples over finite fields and progress on a conjecture of Sárközy.
citing papers explorer
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Restricted sumsets in multiplicative subgroups
Nonzero squares in F_q (q>13 odd prime power) cannot be a restricted sumset A hat+ A; generalizations to subgroups over fields and perfect powers over integers, plus a van Lint-MacWilliams analogue.
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Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
New bounds showing that a nontrivial shift of a multiplicative subgroup containing a product set AB has |A||B| essentially bounded by |G|, plus first nontrivial upper bounds on generalized Diophantine tuples over finite fields and progress on a conjecture of Sárközy.