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math.NT2018
Product of an integer free of small prime factors and prime in arithmetic progression
Kam Hung Yau
We establish estimates for the number of ways to represent any reduced residue class as a product of a prime and an integer free of small prime factors. Our best results is conditi…
math.NT2018
Smooth squarefree and square-full integers in arithmetic progressions
Marc Munsch, Igor E. Shparlinski, Kam Hung Yau
We obtain new lower bounds on the number of smooth squarefree integers up to in residue classes modulo a prime , relatively large compared to , which in some ranges of $p…