1 citations · 1 across the 5 of their papers we have counts for
6 papers
Chebyshev's Bias for Ramanujan's -function via the Deep Riemann Hypothesis
Shin-ya Koyama, Nobushige Kurokawa
The authors assume the Deep Riemann Hypothesis to prove that a weighted sum of Ramanujan's -function has a bias to being positive. This phenomenon is an analogue of Chebyshev's…
Variations of Ramanujan's Euler Products
Shin-ya Koyama, Nobushige Kurokawa
We study the meromorphy of various Euler products of degree two attached to cusp forms including Ramanujan's -function.
Rigidity of Euler Products
Shin-ya Koyama, Nobushige Kurokawa
We report a simple rigidity theorem for certain Euler products.
Functional equations for Selberg zeta functions with Tate motives
Shin-ya Koyama, Nobushige Kurokawa
For a compact Riemann surface of genus , we study the functional equations of the Selberg zeta functions attached with the Tate motives . We prove that certain funct…
Simple functional equations for generalized Selberg zeta functions with Tate motives
Shin-ya Koyama, Nobushige Kurokawa
We prove that for a compact locally symmetric Riemannian space of rank 1 there exist infinitely many automorphic Tate motives such that the generalized Selberg zeta functio…
Triple mean values of Witten -functions
Shin-ya Koyama, Nobushige Kurokawa
Mean values of Witten -functions in the "character" aspect are investigated. After giving a general formula for mean values with the first and the second power, we explicitly ca…