4 papers
math.NT2026
Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
Maosheng Xiong, Chi Hoi Yip
Let be a prime, let , and let . A celebrated result of Carlitz and McConnel states that if is a proper subgroup of ,…
math.CO2025
Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields, II
Chi Hoi Yip
The well-known Van Lint--MacWilliams' conjecture states that if is an odd prime power, and such that , , and is a square f…
math.NT2025
Multiplicative irreducibility of small perturbations of the set of shifted -th powers
Chi Hoi Yip
Motivated by a conjecture of Erdős on the additive irreducibility of small perturbations of the set of squares, recently Hajdu and Sárközy studied a multiplicative analogue of the…
math.NT2024
Oscillation results for the summatory functions of fake mu's
Greg Martin, Chi Hoi Yip
Mossinghoff, Trudgian, and the first author~\cite{MMT23} recently introduced a family of arithmetic functions called ``fake 's'', which are multiplicative functions for which th…