Eran Assaf

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math.NT2026

Hyperelliptic Atkin-Lehner quotients of Shimura curves

Eran Assaf, Sachi Hashimoto

We work towards completely classifying all hyperelliptic Atkin-Lehner quotients of Shimura curves $X_{0} (D, N) / W$ with level $N$ coprime to $D$ and $W \leq W_{0} (D, N)$ , extending, on the…

math.NT2026

Computing Classical Modular Forms for Arbitrary Congruence Subgroups

Eran Assaf

In this paper, we prove the existence of an efficient algorithm for the computation of $q$ -expansions of modular forms of weight $k$ and level $I^$ , where $Î\subseteq SL_{2}({\mat…

math.NT2026

Efficient enumeration of quadratic lattices

Eran Assaf, Victor Chen, Rohan Garg +1

We present an algorithm to enumerate isometry classes of integral quadratic lattices of a given rank and determinant, and analyze its running time by giving bounds on the number of…

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