Ikuya Kaneko

activity

20232025

most citedThe Prime Geodesic Theorem in Arithmetic Progressions

2 citations · 4 across the 8 of their papers we have counts for

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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.NT2024★ 1 cited

The Prime Geodesic Theorem for the Picard Orbifold

Ikuya Kaneko

We establish the prime geodesic theorem for the Picard orbifold $PSL_{2} (Z [i]) \ H^{3}$ , wherein the error term shrinks proportionally to improv…