3 papers
math.NT2025
A Subconvex Metaplectic Prime Geodesic Theorem and the Shimura Correspondence
Ikuya Kaneko
We investigate the prime geodesic theorem with an error term dependent on the varying weight and its higher metaplectic coverings in the arithmetic setting, each admitting subconve…
math.NT2025
The Prime Geodesic Theorem for the Picard Orbifold
Ikuya Kaneko
We establish the prime geodesic theorem for the Picard orbifold , wherein the error term shrinks proportionally to improv…
math.NT2024
Mean Values and Quantum Variance for Degenerate Eisenstein Series of Higher Rank
Dimitrios Chatzakos, Corentin Darreye, Ikuya Kaneko
We investigate the mean value of the inner product of squared degenerate maximal parabolic Eisenstein series against a smooth compactly supported function lying i…