3 papers
math.NT2025
The Fibonacci Zeta Function and Modular Forms
Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1
We show that a family of Dirichlet series generalizing the Fibonacci zeta function has meromorphic continuation in terms of dihedral Maass forms.
math.NT2018
Arithmetic Progressions with Restricted Digits
Aled Walker, Alexander Walker
For an integer and a set , we define the Kempner set to be the set of all non-negative integers whose base- digital…
math.NT2013
Arithmetic Properties of Picard-Fuchs Equations and Holonomic Recurrences
Zane Kun Li, Alexander W. Walker
The coefficient series of the holomorphic Picard-Fuchs differential equation associated with the periods of elliptic curves often have surprising number-theoretic properties. These…