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10 votes
1 answer
546 views

what is the status of this problem? an equivalent formulation?

R. Guy, Unsolved problems in number theory, 3rd edition, Springer, 2004. In this book, on page 167-168, Problem C5, Sums determining members of a set, discusses a question Leo Moser asked: suppose $X\ …
T. Amdeberhan's user avatar
8 votes
2 answers
615 views

sum-sets in a finite field

Let $\mathbb{F}_p$ be a finite field, $A=\{a_1,\dots,a_k\}\subset\mathbb{F}_p^*$ a $k$-element set, for $k<p$. $\mathfrak{S}_k=$permutation gp. Question. Is it true there is always a $\pi\in\mathf …
T. Amdeberhan's user avatar