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Restricted sumsets in multiplicative subgroups

math.NT · 2023-09-19 · unverdicted · novelty 7.0

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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  • Restricted sumsets in multiplicative subgroups math.NT · 2023-09-19 · unverdicted · none · ref 23

    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.