2 papers
math.NT2026
An improvement on the largest prime factor of
Hector Pasten
The study of the largest prime factor in polynomial sequences can be traced back at least to the late 19th century in the work of Störmer. Mahler (1933) and Chowla (1934) proved th…
math.LO2020
Notes on the DPRM property for listable structures
Hector Pasten
A celebrated result by M. Davis, H. Putnam, J. Robinson, and Y. Matiyasevich shows that a set of integers is listable if and only if it is positive existentially definable in the l…