most citedSquares in Polynomial Product Sequences

3 citations · 3 across the 1 of their papers we have counts for

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2 papers

math.NT2013

Gap distribution of Farey fractions under some divisibility constraints

Florin P. Boca, Byron Heersink, Paul Spiegelhalter

For a fixed positive integer d, we show the existence of the limiting gap distribution measure for the sets of Farey fractions a/q of order Q with a not divisible by d, and respect…

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…