3 citations · 15 across the 14 of their papers we have counts for
14 papers
Universality theorems of the Selberg zeta functions for arithmetic groups
Yasufumi Hashimoto
After Voronin proved the universality theorem of the Riemann zeta function in the 1970s, universality theorems have been proposed for various zeta and L-functions. Drungilas-Garunk…
Square integrals of the logarithmic derivatives of Selberg's zeta functions in the critical strip
Yasufumi Hashimoto
In our previous work (https://doi.org/10.1002/mana.202000268, Math. Nachr., 2021), we proposed an upper bound of the logarithmic derivative of Selberg's zeta function for the modul…
Selberg's zeta function for the modular group in the critical strip
Yasufumi Hashimoto
In the present paper, we study the growth of the Selberg zeta function for the modular group in the critical strip.
Prime geodesic theorem for the modular group
Yasufumi Hashimoto
Soundararajan and Young (2013) proposed a new approach to improve the error term of the prime geodesic theorem for the modular group and actually obtained the exponent 25/36 of the…
Correlations of multiplicities in length spectra for congruence subgroups
Yasufumi Hashimoto
Bogomolny-Leyvraz-Schmit (1996) and Peter (2002) proposed an asymptotic formula for the correlation of the multiplicities in length spectrum on the modular surface, and Lukianov (2…
Asymptotic formulas for class number sums of indefinite binary quadratic forms in arithmetic progressions
Yasufumi Hashimoto
It is known that there is a one-to-one correspondence between equivalence classes of primitive indefinite binary quadratic forms and primitive hyperbolic conjugacy classes of the m…