Alexander Walker

activity

20132025

collaborators

Showing math.NTShow all

3 papers · 1 filter

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 $\sum F (n)^{- s}$ has meromorphic continuation in terms of dihedral $GL (2)$ Maass forms.

math.NT2018

Arithmetic Progressions with Restricted Digits

Aled Walker, Alexander Walker

For an integer $b ⩾ 2$ and a set $S \subset {0, \dots, b - 1}$ , we define the Kempner set $K (S, b)$ to be the set of all non-negative integers whose base- $b$ 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…