3 papers
math.NT2014
An explicit upper bound of the argument of Dirichlet -functions on the generalized Riemann hypothesis
Takahiro Wakasa
We prove an explicit upper bound of the function , defined by the argument of Dirichlet -functions. An explicit upper bound of the function , defined by the inte…
math.NT2013
Supremum of the function on short intervals
Takahiro Wakasa
We prove a lower bound on the supremum of the function on short intervals, defined by the integration of the argument of the Riemann zeta-function. The same type of result…
math.NT2012
The explicit upper bound of the multiple integral of on the Riemann Hypothesis
Takahiro Wakasa
We prove explicit upper bounds of the function , defined by the repeated integration of the argument of the Riemann zeta-function. The explicit upper bound of and $S…