Multiplicative decomposition of arithmetic progressions in prime fields
Garaev, M. Z. · Konyagin, S. V.
Original · EN
We prove that there exists an absolute constant c>0 such that if an arithmetic progression modulo a prime number p does not contain zero and has the cardinality less than cp, then it can not be represented as a product of two subsets of cardinality greater than 1, unless =- or ={-2r,r,4r} for some residue r modulo p.
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