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.

• Distribution of the number of prime factors with a given multiplicity, with E. Elma
• Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs, with C. H. Yip
• A heuristic for discrete mean values of the derivative of the Riemann zeta function, with Christopher Hughes and Andrew Pearce-Crump
• Comparative prime number theory problem list, with A. Hamieh, H. Kadiri, and N. Ng
• Moments of L-functions problem list, with A. Hamieh, H. Kadiri, and N. Ng
• The least primary factor of the multiplicative group, with C. Nguyen
• Disproving Hooley's conjecture, with Daniel Fiorilli
• An annotated bibliography for comparative prime number theory, with P. J. S. Yang, A. Bahrini, P. Bajpai, K. Benli, J. Downey, Y. Y. Li, X. Liang, A. Parvardi, R. Simpson, E. White, and C. H. Yip
• An algorithm for Egyptian fraction representations with restricted denominators, with Yue Shi
• Fake mu's, with Michael J. Mossinghoff and Timothy S. Trudgian
• Prime number races (translated into Persian by M. R. Esfandiari), with Andrew Granville
• Asymptotics for the number of directions determined by [n] × [n] in F_p², with Ethan Patrick White and Chi Hoi Yip
• Subproducts of small residue classes, with Amir Parvardi
• Densities in certain three-way prime number races, with Jiawei Lin
• Counting multiplicative groups with prescribed subgroups, with Jenna Downey
• Multidimensional Padé approximation of binomial functions: equalities, with Michael A. Bennett and Kevin O'Bryant
• Counting zeros of Dirichlet L-functions, with Michael A. Bennett, Kevin O'Bryant, and Andrew Rechnitzer
• The smallest invariant factor of the multiplicative group, with Ben Chang
• The distribution of sums and products of additive functions, with Lee Troupe
• The distribution of the number of subgroups of the multiplicative group, with Lee Troupe
• Inclusive prime number races, with Nathan Ng
• Primitive points in rational polygons, with Imre Bárány, Eric Naslund, and Sinai Robins
• Smooth values of polynomials, with Jonathan W. Bober, Dan Fretwell, and Trevor D. Wooley
• Primes in prime number races, with Jared Duker Lichtman and Carl Pomerance
• Exponential sums with reducible polynomials, with Cécile Dartyge
• The universal invariant profile of the multiplicative group, with Reginald M. Simpson
• A three-dimensional set of limit points related to the abc conjecture, with Reginald M. Simpson
• Factorization tests and algorithms arising from counting modular forms and automorphic representations, with Miao Gu
• Explicit bounds for primes in arithmetic progressions, with Michael A. Bennett, Kevin O'Bryant, and Andrew Rechnitzer
• abc triples, with Winnie Miao
• Appendix to 'The frequency of elliptic curve groups over prime finite fields', with Chantal David and Ethan Smith
• Identifier et remédier à la sous-représentation des femmes en mathématiques
• Diagnosing and addressing the underrepresentation of women in mathematics
• How likely is an all-male speakers list, statistically speaking? A mathematician weighs in, with Lauren Bacon
• Mentorship and gender
• Addressing the underrepresentation of women in mathematics conferences
• Squarefree values of trinomial discriminants, with David W. Boyd and Mark Thom
• An annotated bibliography of work related to gender in science
• Averages of the number of points on elliptic curves, with Paul Pollack and Ethan Smith
• 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
• Nonzero values of Dirichlet L-functions 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
• Polynomials whose coefficients are related to the Goldbach conjecture, with Peter Borwein, Kwok-Kwong Stephen Choi, and Charles L. Samuels
• 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
• 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 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
• 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 author(s) or the journals in which they appear. All rights reserved.