3 papers
math.NT2025
Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions
Alexander Walker
We give conditions under which certain digit-restricted integer sets avoid -term arithmetic progressions. These sets and their harmonic sums can be computed efficiently. Through…
math.NT2025
The Fibonacci Zeta Function and Continuation
Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1
We introduce a family of Dirichlet series associated to real quadratic number fields that generalize the ordinary Fibonacci zeta function , where denotes the…
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.