The Skolem–Mahler–Lech theorem states that if f(n) is a sequence given by a linear recurrence over a field of characteristic 0, then the set of m such that f(m) is equal to 0 is the union of a finite number of arithmetic progressions in m 0 and a finite set. We prove that if X is a subvariety of an affine variety Y over a field of characteristic 0 and q is a point in Y , and σ is an automorphis...

In 2010, Cilleruelo, Ruzsa, and Vinuesa established a surprising connection between the maximum possible size of generalized Sidon set in first $N$ natural numbers optimal constant an “analogous” problem concerning nonnegative-valued func