21 citations · 53 across the 15 of their papers we have counts for
20 papers
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…
On the Asymptotic Density of -tuples of Positive Integers Satisfying Arbitrary GCD Conditions
Chan Ieong Kuan
We consider the problem of counting -tuples of positive integers satisfying any arbitrary set of gcd conditions, where every integer is not larger than . We first establish t…
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.
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…
Counting Divisors in the Outputs of a Binary Quadratic Form
Chan Ieong Kuan, David Lowry-Duda, Alexander Walker +1
For a fixed natural number , we prove meromorphic continuation of the two-variable Dirichlet series to and use this to…
Sums of Cusp Form Coefficients Along Quadratic Sequences
Chan Ieong Kuan, David Lowry-Duda, Alexander Walker +1
Let be a cusp form of weight on with character . By studying a certain shifted convolution sum, we prove that $\sum_{n \…