5 citations · 24 across the 23 of their papers we have counts for
4 papers · 1 filter
Multiplicatively reducible subsets of shifted perfect -th powers and bipartite Diophantine tuples
Chi Hoi Yip
Recently, Hajdu and Sárközy studied the multiplicative decompositions of polynomial sequences. In particular, they showed that when , each infinite subset of $\{x^k+1: x…
Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
In this paper, we investigate the multiplicative structure of a shifted multiplicative subgroup and its connections with additive combinatorics and the theory of Diophantine equati…
An annotated bibliography for comparative prime number theory
Greg Martin, Pu Justin Scarfy Yang, Aram Bahrini +9
The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We…
Additive decompositions of large multiplicative subgroups in finite fields
Chi Hoi Yip
We show that a large multiplicative subgroup of a finite field cannot be decomposed into or nontrivially. We also find new families of multiplicative s…