10 citations · 13 across the 9 of their papers we have counts for
10 papers
Algebraic independence of periods of Anderson modules and their hyperderivatives
Andreas Maurischat, Changningphaabi Namoijam
Transcendence questions of periods and quasi-periods of Anderson modules, as well as the hyperderivatives thereof, are of major interest in number theory over function fields. In t…
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…
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.…
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…
On the algebraic independence of logarithms of Anderson -modules
Oğuz Gezmiş, Changningphaabi Namoijam
In the present paper, we determine the algebraic relations among the tractable coordinates of logarithms of Anderson -modules constructed by taking the tensor product of Drinfel…
Towards a classification of -discriminant ideal twins over number fields
Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga +3
Isogenous elliptic curves have the same conductor but not necessarily the same minimal discriminant ideal. In this article, we explicitly classify all -isogenous elliptic curv…
Computing supersingular endomorphism rings using inseparable endomorphisms
Jenny Fuselier, Annamaria Iezzi, Mark Kozek +2
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve defined over , which, conditional on GRH, runs in expected $O(…
On the transcendence of special values of Goss -functions attached to Drinfeld modules
Oğuz Gezmiş, Changningphaabi Namoijam
Let be the finite field with elements and consider the rational function field . For a Drinfeld module defined over , we study the tra…
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules
Changningphaabi Namoijam
We determine all algebraic relations among all hyperderivatives of the periods, quasi-periods, logarithms, and quasi-logarithms of Drinfeld modules defined over a separable closure…
Hyperderivatives of periods and quasi-periods for Anderson -modules
Changningphaabi Namoijam, Matthew A. Papanikolas
We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson -modules, as well as their hyperderivatives. We develop a comprehensive account of how these…