Steps into analytic number theory: A problem-based introduction (with P. Pollack)
Springer, Problem Books in Mathematics.
Distribution mod $p$ of Euler’s totient and the sum of proper divisors (with N. Lebowitz-Lockard and P. Pollack)
Michigan Math. J. 74 (2024), 143–166.
Links: Journal arXiV
Joint distribution in residue classes of polynomial-like multiplicative functions (with P. Pollack)
Acta Arith. 202 (2022), 89–104.
Link: Journal arXiV
Powerfree sums of proper divisors (with P. Pollack)
Colloq. Math 168 (2022), 287–295.
Link: Journal arXiV
Dirichlet, Sierpinski, and Benford (with P. Pollack)
J.Number Theory 239 (2022), 352–364.
Link: Journal
On Benford’s Law for multiplicative functions (with V. Chandee, X. Li and P. Pollack)
Proc. Amer. Math. Soc. 151 (2023), 4607–4619.
Link: Journal arXiV
Benford behavior and distribution in residue classes of large prime factors (with P. Pollack)
Canad. Math. Bull. 66 (2023), 626–642.
Link: Journal
Distribution in coprime residue classes of polynomially-defined multiplicative functions (with P. Pollack)
Math. Z. 303 (2023), no. 4, paper 93, 20 pages.
Link: Journal arXiV
Intermediate prime factors in specified subsets
(with N. McNew and P. Pollack)
Monatsh. Math. 202 (2023), 837–855.
Link: Journal
The distribution of intermediate prime factors (with N. McNew and P. Pollack)
Illinois J. Math. 68 (2024), no. 3, 537-576.
Link: Journal arXiV
Mean values of multiplicative functions and applications to residue-class distribution (with P. Pollack)
Proc. Edinb. Math. Soc., accepted for publication.
Link: Most recent version
Anatomical mean value bounds on multiplicative functions and the distribution of the sum of divisors, 34 pages
Michigan Math. J., accepted for publication.
Link: Most recent version
Joint distribution in residue classes of families of polynomially-defined additive functions, 34 pages
Submitted to Math Z.
Link: Most recent version
Joint distribution in residue classes of families of polynomially-defined multiplicative functions I, 53 pages
Submitted to J. London Math. Soc.
Link: Most recent version
Joint distribution in residue classes of families of polynomially-defined multiplicative functions II, 31 pages
Submitted to Acta. Arith.
Link: Most recent version
The Landau-Selberg-Delange method for products of Dirichlet $L$-functions and applications.
Distribution in residue classes of hybrid families of polynomially-defined additive and multiplicative functions.
Weighted equidistribution and mean values of multiplicative functions in twisted progressions
PAlmetto Number Theory Series (PANTS) XXXVII: December 2023
Distribution in coprime residue classes of Euler’s totient and the sum of divisors Slides
University of Georgia Number Theory Seminar: April 2024
Joint distribution in residue classes of families of arithmetic functions Slides
Dartmouth College Algebra and Number Theory Seminar: November 2024
Equidistribution and mean values of families of multiplicative functions Slides
University of Waterloo, Number Theory Seminar: January 2025
Residue-class distribution and mean values of multiplicative functions Slides
AMS Spring Eastern Sectional Meeting 2025: Special session on “Counting and Asymptotics in Number Theory” (April 2025)
Joint distribution in residue classes of families of multiplicative functions
INTEGERS Conference 2025 at the University of Georgia: In Honor of the 80th Birthdays of Melvyn Nathanson and Carl Pomerance (May 2025)
Joint distribution in residue classes of families of multiplicative functions
Slides
Combinatorial and Additive Number Theory CANT 2025: May 2025
Joint distribution in residue classes of families of multiplicative functions