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- W2606389667 abstract "Let us consider the linear equation in Fp, A1x1 + . . . + Arxr = A (r ≥ 1) It is well known that if some Ai is nonzero, then the number N of solutions (x1, . . . , xr) to this linear equation is N = pr−1. In this article we study the number N ′ of solutions (x1, . . . , xr) to this linear equation where these solutions have some restriction. For example, the xi are different of zero, the xi are different each other, the xi are different of zero and different each other. We also study the number of sums of elements of Fp which have a same result, where the order of the sumands is irrelevant and some restriction of the former type is established. Mathematics Subject Classification: 11A15, 11D45, 11A41" @default.
- W2606389667 created "2017-04-28" @default.
- W2606389667 creator A5010425137 @default.
- W2606389667 date "2010-01-01" @default.
- W2606389667 modified "2023-09-27" @default.
- W2606389667 title "Sums of Residues in the Field Fp" @default.
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