Publications

The arXiv versions might differ from the published versions. They are listed with some supplements in reverse chronological order of writing.

21. Ikuya Kaneko, "The Prime Geodesic Theorem for the Picard Manifold", submitted for publication (2024), 14 pages. [arXiv]

20. Ikuya Kaneko, "The Prime Geodesic Theorem and Bounds for Character Sums", submitted for publication (2024), 19 pages. [arXiv]

19. Ikuya Kaneko, "On a Finite Field Analogue of van der Corput Differencing", submitted for publication (2024), 4 pages. [arXiv]

18. Dimitrios Chatzakos, Corentin Darreye, and Ikuya Kaneko, "Mean Values and Quantum Variance for Degenerate Eisenstein Series of Higher Rank", submitted for publication (2023), 20 pages. [arXiv]

• Matti Ilmari Jutila, "The Fourth Moment of Riemann's Zeta-Function and the Additive Divisor Problem", Analytic Number Theory. Volume 2. Proceedings of the International Conference in Honor of Heini Halberstam Held in Allerton Park, Illinois, May 16–20, 1995 (Bruce Carl Berndt, Harold George Diamond, and Adolf Joseph Hildebrand, editors), Progress in Mathematics, 139, Birkhäuser Boston, Inc., Boston, MA (1996), 517–536. [PDF | MathSciNet]

17. Ikuya Kaneko and Wing Hong Leung, "Non-Linear Additive Twists of GL3 Hecke Eigenvalues", submitted for publication (2024), 26 pages. [arXiv]

16. Ikuya Kaneko, "On Multiple Shifted Convolution Sums", submitted for publication (2023), 20 pages. [arXiv]

15. Dimitrios Chatzakos, Gergely Harcos, and Ikuya Kaneko, "The Prime Geodesic Theorem in Arithmetic Progressions", submitted for publication (2023), 11 pages. [arXiv]

• Vladimir Vasil'evich Golovchanskiĭ and Mikhail Nikolaevich Smotrov, "The Distribution of the Number Classes of the Primitive Hyperbolic Elements of the Group Γ0(N) in Arithmetic Progressions", Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk Division of the Institute for Applied Mathematics, Vladivostok: Dal'nauka, no. 15 (1999), 1–15. [PDF]

• Nikolaĭ Vasil'evitch Kuznetsov, "Arithmetical Form of the Selberg Trace Formula and the Distribution of the Norms of Primitive Hyperbolic Classes of the Modular Group", Akademiĭ Nauk SSSR, Dal'nevostoč. Naučn. Centr, Khabarovsk; Habarovsk. Kompleksn. Naučn.-Issled. Inst., Khabarovsk (1978), Presented at the Far Eastern Mathematical School. 1–44. [PDF | MathSciNet]

14. Ikuya Kaneko and Shin-ya Koyama, "A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields", Proceedings of the American Mathematical Society, 151:12 (2023), 5059–5068. [DOI | arXiv | MathSciNet]

13. Ikuya Kaneko, Shin-ya Koyama, and Nobushige Kurokawa, "Towards the Deep Riemann Hypothesis for GLn", submitted for publication (2023), 17 pages. [arXiv]

12. Ikuya Kaneko and Jesse Aaron Thorner, "Highly Uniform Prime Number Theorems", to appear in Annales de l'Institut Fourier (Grenoble) (2023), 21 pages. [DOI | arXiv | MathSciNet]

11. Ikuya Kaneko, "Motohashi's Formula for the Fourth Moment of Individual Dirichlet L-Functions and Applications", Forum of Mathematics, Sigma, 10:e41 (2022), 1–43. [DOI | arXiv | MathSciNet]

10. Ikuya Kaneko, "Mixed Moments of the Riemann Zeta and Dirichlet L-Functions", submitted for publication (2023), 20 pages. [arXiv]

9. Daniel Hu, Ikuya Kaneko, Spencer Martin, and Carl Schildkraut, "On a Mertens-Type Conjecture for Number Fields", to appear in Mathematical Proceedings of the Cambridge Philosophical Society (2023), 37 pages. [DOI | arXiv | MathSciNet]

8. Daniel Hu, Ikuya Kaneko, Spencer Martin, and Carl Schildkraut, "Order of Zeros of Dedekind Zeta Functions", Proceedings of the American Mathematical Society, 150:12 (2022), 5111–5120. [DOI | arXiv | MathSciNet]

7. Ikuya Kaneko and Shin-ya Koyama, "Quantum Unique Ergodicity for Eisenstein Series over Function Fields in the Level Aspect", under revision at Journal of Number Theory (2023), 14 pages. [arXiv]

6. Ikuya Kaneko and Shin-ya Koyama, "Correction to: Equidistribution of Eisenstein Series in the Level Aspect", Communications in Mathematical Physics, 380:1 (2020), 523–533. [DOI | arXiv | MathSciNet]

• Shin-ya Koyama, "Equidistribution of Eisenstein Series in the Level Aspect", Communications in Mathematical Physics, 289:3 (2009), 1131–1150. [DOI | MathSciNet]

5. Ikuya Kaneko, "Spectral Exponential Sums on Hyperbolic Surfaces", The Ramanujan Journal, 60:3 (2023), 837–846. [DOI | arXiv | MathSciNet]

4. Ikuya Kaneko, "The Prime Geodesic Theorem for PSL2(ℤ[𝑖]) and Spectral Exponential Sums", Algebra & Number Theory, 16:8 (2022), 1845–1887. [DOI | arXiv | MathSciNet]

3. Ikuya Kaneko, "The Second Moment for Counting Prime Geodesics", Proceedings of the Japan Academy, Series A, Mathematical Sciences, 96:1 (2020), 7–12. [DOI | MathSciNet]

2. Ikuya Kaneko, "Euler Product Asymptotics for Dirichlet L-Functions", Bulletin of the Australian Mathematical Society, 106:1 (2022), 48–56. [DOI | arXiv | MathSciNet]

1. Ikuya Kaneko and Shin-ya Koyama, "Euler Products of Selberg Zeta Functions in the Critical Strip", The Ramanujan Journal, 59:2 (2022), 437–458. [DOI | arXiv | MathSciNet]