NewEvery arXiv paper, its researchers & institutions — mapped.
papers

Publications (33)

math.NT2017

Small prime $k$th power residues for $k=2,3,4$: A reciprocity laws approach

Kübra Benli, Paul Pollack

math.NT2016

An elemental Erdős-Kac theorem for algebraic number fields

Paul Pollack

math.NT2015

Clusters of primes with square-free translates

Roger C. Baker, Paul Pollack

math.NT2014

Bounded gaps between primes in number fields and function fields

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

math.NT2011

The average least character nonresidue and further variations on a theme of Erdos

Greg Martin, Paul Pollack

math.NT2014

Arithmetic functions at consecutive shifted primes

Paul Pollack, Lola Thompson

math.NT2015

Digitally delicate primes

Jackson Hopper, Paul Pollack

math.NT2016

The truth about torsion in the CM case, II

Pete L. Clark, Paul Pollack

math.NT2014

Bounded gaps between primes with a given primitive root, II

Roger C. Baker, Paul Pollack

math.NT2009

On quantitative analogues of the Goldbach and twin prime conjectures over F_q[t]

Andreas O. Bender, Paul Pollack

math.NT2016

Two problems concerning irreducible elements in rings of integers of number fields

Paul Pollack, Lee Troupe

math.NT2010

On common values of $ϕ(n)$ and $σ(m)$, II

Kevin Ford, Paul Pollack

math.NT2017

Refinements of Lagrange's four-square theorem

Leo Goldmakher, Paul Pollack

math.NT2017

Divisor-sum fibers

Paul Pollack, Carl Pomerance, Lola Thompson

math.NT2012

Practical pretenders

Paul Pollack, Lola Thompson

math.NT2017

Typically bounding torsion

Pete L. Clark, Marko Milosevic, Paul Pollack

math.NT2012

On the degrees of divisors of T^n-1

Paul Pollack, Lola Thompson

math.NT2013

Variations on a theorem of Davenport concerning abundant numbers

Emily Jennings, Paul Pollack, Lola Thompson

math.NT2017

Pursuing polynomial bounds on torsion

Pete L. Clark, Paul Pollack

math.NT2014

Averages of the number of points on elliptic curves

Greg Martin, Paul Pollack, Ethan Smith

math.GT2018

Counting and effective rigidity in algebra and geometry

Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1

math.NT2014

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

Paul Pollack, Joseph Vandehey

math.AC2015

The number of atoms in an atomic domain

Pete L. Clark, Saurabh Gosavi, Paul Pollack

math.NT2015

The truth about torsion in the CM case

Pete L. Clark, Paul Pollack

math.NT2015

Bounds for the first several prime character nonresidues

Paul Pollack

math.NT2016

Torsion subgroups of CM elliptic curves over odd degree number fields

Abbey Bourdon, Paul Pollack

math.NT2015

Anatomy of torsion in the CM case

Abbey Bourdon, Pete L. Clark, Paul Pollack

math.NT2012

Uncertainty principles connected with the Möbius inversion formula

Paul Pollack, Carlo Sanna

math.GT2015

The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces

Benjamin Linowitz, Jeffrey S. Meyer, Paul Pollack

math.GT2017

Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds

Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1

math.GT2017

Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds

Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1

math.NT2019

Twists of hyperelliptic curves by integers in progressions modulo $p$

David Krumm, Paul Pollack

math.NT2014

Bounded gaps between primes with a given primitive root

Paul Pollack