Publications of Students

Chiharu Kaminishi (MS, March 2004)

Estimates of automorphic $L$-functions in the discriminant-aspect, Proc. Japan Acad. Ser. A Math. Sci. 80, no. 5 (2004), 42–46.

Asako Nakamura (MS, March 2004)

Pell equation over function fields. Sugaku, 54 (2002), 308-313. (In Japanese)

Hirofumi Nagoshi (Ph.D, March 2001)

The distribution of eigenvalues of arithmetic infinite graphs, Forum Mathematicum, 14 (2002), 807-829.

· Spectra of arithmetic infinite graphs and their application, Interdisciplinary Information Sciences, 7 (2001), 67-76.

· Selberg zeta functions over function fields, Journal of Number Theory, 90 (2001), 207-238.

· On arithmetic infinite graphs, Proceeding of the Japan Academy 76, Ser. A (2000), 22-25.

Maki Nakasuji (Ph.D, March 2003)

Prime geodesic theorem for hyperbolic 3-manifolds: general cofinite cases, Forum Mathematicum 16 (2004) 317-364.

· (with T. Arakawa and S. Koyama) Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem, Proceedings of the Japan Academy 78, Ser. A (2002), 120-125.

· Error term of prime geodesic theorem, Analytic and Probabilistic Methods in Number Theory, 2002.

· Prime geodesic theorem via the explicit formula of Ψ for hyperbolic 3-manifolds, Proceeding of the Japan Academy 77, Ser. A (2001), 130-133.

Shin-ya Koyama

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Students