17 citations · 17 across the 3 of their papers we have counts for
3 papers
math.NT2009★ 17 cited
Higher Mahler measures and zeta functions
Nobushige Kurokawa, Matilde Lalin, Hiroyuki Ochiai
We consider a generalization of the Mahler measure of a multivariable polynomial as the integral of in the unit torus, as opposed to the classical definition with t…
math.NT2007
Spectra of alternating Hilbert operators
Nobushige Kurokawa, Hiroyuki Ochiai
Spectra of real alternating operators seem to be quite interesting from the view point of explaining the Riemann Hypothesis for various zeta functions. Unfortunately we have not su…
math.QA2002
A variation of Euler's approach to values of the Riemann zeta function
Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama
An elementary method of computing the values at negative integers of the Riemann zeta function is presented. The principal ingredient is a new q-analogue of the Riemann zeta functi…