7 citations · 22 across the 30 of their papers we have counts for
30 papers
Detecting zeros of Dirichlet -functions via the Riemann zeta-function
Masatoshi Suzuki
Assuming the Riemann hypothesis, we show that a certain vertical distribution of the nontrivial zeros of the Riemann zeta-function is equivalent to the generalized Riemann hypothes…
-functions and screw functions originating from Goldbach's problem and zeros of the Riemann zeta function
Kohji Matsumoto, Masatoshi Suzuki
We study the -functions, which describe the limit theorem for the value-distributions of the secondary main terms in the asymptotic formulas for the summatory functions of the G…
Analytic theories around the simplest screw
Masatoshi Suzuki
We present several analytic theories related to screw functions and describe the connections among them, taking the screw function of the simplest screw line as a guiding example.N…
A probabilistic interpretation for central zeros of -functions in the Selberg class
Takashi Nakamura, Masatoshi Suzuki
We show that central zeros of -functions in the Selberg class have a probabilistic interpretation by stating an equivalence condition of the Riemann hypothesis for the -funct…
On infinitely divisible distributions related to the Riemann hypothesis
Takashi Nakamura, Masatoshi Suzuki
For the Riemann zeta-function, we introduce a function such that it is a characteristic function of an infinitely divisible distribution on the real line if and only if the Riemann…
Li coefficients as norms of functions in a model space
Masatoshi Suzuki
It is known that the nonnegativity of Li coefficients is a necessary and sufficient condition for the Riemann hypothesis. We show that it is a necessary and sufficient condition fo…