C. Kuan

collaborators

4 papers

math.NT2025

Murmurations using Petersson trace formula

Chan Ieong Kuan, Didier Lesesvre

We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in…

math.NT2025

On the Asymptotic Density of $k$ -tuples of Positive Integers Satisfying Arbitrary GCD Conditions

Chan Ieong Kuan

We consider the problem of counting $k$ -tuples of positive integers satisfying any arbitrary set of gcd conditions, where every integer is not larger than $x$ . We first establish t…

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.

Murmurations using Petersson trace formula

On the Asymptotic Density of k-tuples of Positive Integers Satisfying Arbitrary GCD Conditions

The Fibonacci Zeta Function and Continuation

The Fibonacci Zeta Function and Modular Forms

On the Asymptotic Density of $k$ -tuples of Positive Integers Satisfying Arbitrary GCD Conditions