This list is arranged in reverse chronological order  anytime a preprint is added or the status of a manuscript is updated, it is moved to the top of the list.

abc triples, with Winnie Miao

Averages of the number of points on elliptic curves, with Paul Pollack and Ethan Smith

Appendix to 'The frequency of elliptic curve groups over prime finite fields', with Chantal David and Ethan Smith

Squarefree values of trinomial discriminants, with David W. Boyd and Mark Thom

Lower bounds for sumsets of multisets in Z_{p}^{2}, with Alexis Peilloux and Erick B. Wong

Optimal primitive sets with restricted primes, with William D. Banks

Nonzero values of Dirichlet Lfunctions in vertical arithmetic progressions, with Nathan Ng

The average least character nonresidue and further variations on a theme of Erdős, with Paul Pollack

Inequities in the Shanks–Rényi prime number race: an asymptotic formula for the densities, with Daniel Fiorilli

An Erdős–Kac theorem for products of additive functions

The number of subgroups in the multiplicative group modulo n

Inclusive prime number races, with Nathan Ng

Polynomials whose coefficients are related to the Goldbach conjecture, with Peter Borwein, KwokKwong Stephen Choi, and Charles L. Samuels

Primitive points in lattice polygons, with Imre Barany, Eric Naslund, and Sinai Robins

Comparative prime number theory: a survey, with Justin Scarfy

Primitive sets with large counting functions, with Carl Pomerance

Erdős–Turán with a moving target, equidistribution of roots of reducible quadratics, and Diophantine quadruples, with Scott Sitar

Roots of unity and nullity modulo n, with Steven Finch and Pascal Sebah

Structural insights and elegant applications: a book review of The Anatomy of Integers

Nonzero values of Dirichlet Lfunctions at linear combinations of other zeros, with Nathan Ng

An Erdős–Kac theorem for the number of prime factors of multiplicative orders, with Leo Goldmakher

The supremum of autoconvolutions, with applications to additive number theory, with Kevin O'Bryant

A product of Gamma function values at fractions with the same denominator

Almost all integer matrices have no integer eigenvalues, with Erick B. Wong

A simple polynomial for a transposition

The number of 2×2 integer matrices having a prescribed integer eigenvalue, with Erick B. Wong

Sets that contain their circle centers

Many sets have more sums than differences, with Kevin O'Bryant

A simple polynomial for a simple transposition

The symmetric subset problem in continuous Ramsey theory, with Kevin O'Bryant

Constructions of generalized Sidon sets, with Kevin O'Bryant

Prime number races, with Andrew Granville

The iterated Carmichael λfunction and the number of cycles of the power generator, with Carl Pomerance

Dimensions of the spaces of cusp forms and newforms on Γ_{0}(N) and Γ_{1}(N)

Carreras de números primos, with Andrew Granville

The unreasonable effectualness of continued function expansions

Inequities in threeway prime number races

The limiting curve of Jarník's polygons

An asymptotic formula for the number of smooth values of a polynomial

Compactness theorems for geometric packings

Absolutely abnormal numbers

Restoring fairness to Dukego

Polynomial values free of large prime factors, with Cécile Dartyge and Gérald Tenenbaum

Biases in the Shanks–Rényi prime number race, with Andrey Feuerverger

Denser Egyptian fractions

Asymmetries in the Shanks–Rényi prime number race

Farmer Ted goes natural

Dense Egyptian fractions

The smallest solution of φ(30n+1)<φ(30n) is ...

Uniform bounds for the least almostprime primitive root

The least prime primitive root and the shifted sieve

Solubility of systems of quadratic forms
The above papers are the intellectual property of Greg Martin, with copyrights held by the journals in which they appear. All rights reserved.
