6 papers
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…
On the Hilbert space derived from the Weil distribution
Masatoshi Suzuki
We study the Hilbert space obtained by completing the space of all smooth and compactly supported functions on the real line with respect to the hermitian form arising from the Wei…
-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…
Interpretation of the Schur-Cohn test in terms of canonical systems
Masatoshi Suzuki
We solve direct and inverse problems for two-dimensional (quasi) canonical systems related to exponential polynomials of a specific but sufficiently general type. The approach to t…
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…
Screw functions of Dirichlet series in the extended Selberg class
Masatoshi Suzuki
We introduce screw functions for Dirichlet series in the extended Selberg class. Then we prove that the Grand Riemann Hypothesis for a member of the extended Selberg class is equiv…