3 papers
math.NT2026
Linear equations on -modules
Yen-Tsung Chen, Wei-Cheng Huang, Changningphaabi Namoijam
Let be a number field. Given finitely many -valued points on a commutative algebraic group defined over , a question of interest to number theorists is the determination…
math.NT2024
Elated Numbers
N. Bradley Fox, Nathan H. Fox, Helen G. Grundman +3
For a base , the -elated function, , maps a positive integer written in base to the product of its leading digit and the sum of the squares of its digits.…
math.NT2024
On the third kind periods for abelian -modules
Yen-Tsung Chen, Changningphaabi Namoijam
Inspired by the relations between periods of elliptic integrals of the third kind and the periods of the extensions of the corresponding elliptic curves by the multiplicative group…