Ikuya Kaneko

most citedThe Prime Geodesic Theorem and Bounds for Character Sums

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2024★ 1 cited

The Prime Geodesic Theorem and Bounds for Character Sums

Ikuya Kaneko

We establish the prime geodesic theorem for the modular surface with exponent $\frac{2}{3} + ε$ , improving upon the long-standing exponent $\frac{25}{36} + ε$ of So…

math.NT2023

On Multiple Shifted Convolution Sums

Ikuya Kaneko

We prove strong estimates for averages of shifted convolution sums consisting of quadratic twists of $GL_{2}$ $L$ -functions. The key input involves the circle method toget…