Let A be a subset of integers (or a subset of a finite abelian group); in this communication, we survey some results related to the properties of the set A from the information on cardinality of 2A or ...
Given any two integers M and k and a fixed arithmetic function f(n), does there exist a run of consecutive integers c+j, j = 1, 2,..., k, such that f(c+j) ≡ 0 (mod M)? It is shown that the Euler ...
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