Paul Pollack

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20122023

most citedArithmetic functions at consecutive shifted primes

5 citations · 12 across the 6 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.NT2014

Besicovitch, Bisection, and the normality of $0. (1) (4) (9) (16) (25) \dots$

Paul Pollack, Joseph Vandehey

We revisit Besicovitch's 1935 paper in which he introduced several techniques that have become essential elements of modern combinatorial methods of normality proofs. Despite his p…

math.NT2014★ 5 cited

Arithmetic functions at consecutive shifted primes

Paul Pollack, Lola Thompson

For each of the functions $f \in {ϕ, σ, ω, τ}$ and every natural number $k$ , we show that there are infinitely many solutions to the inequalities $f(p_n-1) < f(p_{n+1}-1) < \dots…

math.NT2014★ 4 cited

Bounded gaps between primes in number fields and function fields

Abel Castillo, Chris Hall, Robert J. Lemke Oliver +2

The Hardy--Littlewood prime $k$ -tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs…

Besicovitch, Bisection, and the normality of 0.(1)(4)(9)(16)(25)…

Arithmetic functions at consecutive shifted primes

Bounded gaps between primes in number fields and function fields

Besicovitch, Bisection, and the normality of $0. (1) (4) (9) (16) (25) \dots$