Showing 2025Show all
2 papers · 1 filter
math.NT2025
Bipartite Diophantine tuples and their applications
Kin Ming Tsang, Chi Hoi Yip
This paper investigates bipartite variants of generalized Diophantine tuples and their applications. We generalize a result of Bugeaud--Dujella on a special family of bipartite Dio…
math.NT2025
Explicit zero-free regions for automorphic -functions
Steven Creech, Alia Hamieh, Simran Khunger +3
Let be the -function associated with a newform of even weight , squarefree level and trivial nebentypus. In this paper, we establish a new explicit zero-free…