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math.NT2011
On Multiplicative Functions with Bounded Partial Sums
Joseph Vandehey
Consider a multiplicative function f(n) taking values on the unit circle. Is it possible that the partial sums of this function are bounded? We show that if we weaken the notion of…
math.NT2011★ 3 cited
Squares in Polynomial Product Sequences
Paul Spiegelhalter, Joseph Vandehey
Let F(n) be a polynomial of degree at least 2 with integer coefficients. We consider the products N_x=\prod_{1 \le n \le x} F(n) and show that N_x should only rarely be a perfect p…