Contact Information
304 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Prime number theory, divisor theory, random permutations, arithmetic functions, probabilistic number theory, comparative prime number theory, sieve theory, Riemann zeta function.
External Links
I am an editor of the journal Research in Number Theory (https://www.springer.com/journal/40993).
Recent Publications
Ford, K. (2022). Solutions of f (n) = f (n + k) and s (n) = s (n + k). International Mathematics Research Notices, 2022(5), 3561-3570. https://doi.org/10.1093/imrn/rnaa218
Ford, K. (2021). A Hardy–Ramanujan-type inequality for shifted primes and sifted sets. Lithuanian Mathematical Journal, 61(3), 323-329. https://doi.org/10.1007/s10986-021-09523-y
Ford, K., & Konyagin, S. (2021). Differences between totients. Acta Arithmetica, 200(1), 61-69. https://doi.org/10.4064/AA200711-19-4
Ford, K., & Konyagin, S. (2021). Divisibility of the central binomial coefficient (2nn). Transactions of the American Mathematical Society, 374(2), 823-953. https://doi.org/10.1090/tran/8183
Ford, K. (Accepted/In press). Joint Poisson distribution of prime factors in sets. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S0305004121000499