4 citations · 14 across the 8 of their papers we have counts for
13 papers
Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings
Ikuya Kaneko, Shin-ya Koyama
We prove the quantum unique ergodicity conjecture for Eisenstein series over function fields in the level aspect. Adapting the machinery of Luo-Sarnak (1995), we employ the spectra…
A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields
Ikuya Kaneko, Shin-ya Koyama
This work considers the prime number races for non-constant elliptic curves over function fields. We prove that if , then there exist Chebyshev biases tow…
Towards the Deep Riemann Hypothesis for
Ikuya Kaneko, Shin-ya Koyama, Nobushige Kurokawa
We explicate the deep Riemann hypothesis for the general linear group on the convergence of normalised Euler products of standard -functions on the critical li…
Highly Uniform Prime Number Theorems
Ikuya Kaneko, Jesse Thorner
We prove a highly uniform version of the prime number theorem for a certain class of -functions. The range of depends polynomially on the analytic conductor, and the error t…
Motohashi's Formula for the Fourth Moment of Individual Dirichlet -Functions and Applications
Ikuya Kaneko
A new reciprocity formula for Dirichlet -functions associated to an arbitrary primitive Dirichlet character of prime modulus is established. We find an identity relating the…
Mixed Moments of the Riemann Zeta and Dirichlet -Functions
Ikuya Kaneko
We prove Motohashi's formula for a mixed second moment of the Riemann zeta function and a Dirichlet -function attached to a primitive Dirichlet character modulo $q \in \mathbb{N…