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.

• Inequities in the Shanks-Rényi prime number race: an asymptotic formula for the densities, with Daniel Fiorilli
• Lower bounds for sumsets of multisets in Z_p², with Alexis Peilloux and Erick B. Wong
• Optimal primitive sets with restricted primes, with William D. Banks
• Inclusive prime number races, with Nathan Ng
• Polynomials whose coefficients are related to the Goldbach conjecture, with Peter Borwein, Kwok-Kwong Stephen Choi, and Charles L. Samuels
• Primitive points in lattice polygons, with Imre Barany, Eric Naslund, and Sinai Robins
• Nonzero values of Dirichlet L-functions in vertical arithmetic progressions, with Nathan Ng
• Averages of the number of points on elliptic curves, with Paul Pollack and Ethan Smith
• The average least character nonresidue and further variations on a theme of Erdös, with Paul Pollack
• Comparative prime number theory: a survey, with Justin Scarfy
• Primitive sets with large counting functions, with Carl Pomerance
• Erdös-Turán with a moving target, equidistribution of roots of reducible quadratics, and Diophantine quadruples, with Scott Sitar
• Squarefree values of trinomial discriminants, with David Boyd and Mark Thom
• 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 L-functions at linear combinations of other zeros, with Nathan Ng
• The number of subgroups in the multiplicative group modulo n
• An Erdös-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 λ-function and the number of cycles of the power generator, with Carl Pomerance
• Dimensions of the spaces of cusp forms and newforms on Γ₀(N) and Γ₁(N)
• Carreras de números primos, with Andrew Granville
• The unreasonable effectualness of continued function expansions
• Inequities in three-way 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 almost-prime 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.