22 citations · 53 across the 28 of their papers we have counts for
5 papers · 1 filter
Any non-monomial polynomial of the Riemann zeta-function has complex zeros off the critical line
Takashi Nakamura, Łukasz Pańkowski
In this paper, we show that any polynomial of zeta or -functions with some conditions has infinitely many complex zeros off the critical line. This general result has abundant a…
Behaviors of multivariable finite Euler products in probabilistic view
Takahiro Aoyama, Takashi Nakamura
Finite Euler product is known to be one of the classical zeta functions in number theory. In [1], [2] and [3], we have introduced some multivariable zeta functions and studied thei…
Multidimensional Shintani zeta functions and zeta distributions on R^d
Takahiro Aoyama, Takashi Nakamura
The class of Riemann zeta distribution is one of the classical classes of probability distributions on R. Multidimensional Shintani zeta function is introduced and its definable pr…
Multidimensional polynomial Euler products and infinitely divisible distributions on R^d
Takahiro Aoyama, Takashi Nakamura
It is known to be difficult to find out whether a certain multivariable function to be a characteristic function when its corresponding measure is not tirivial to be or not to be a…
Corrigendum for "The generalized strong recurrence for non-zero rational parameters" Archiv der Mathematik 95 (2010), 549-555
Takashi Nakamura, Łukasz Pańkowski
In the present paper, we prove that self-approximation of with is equivalent to the Riemann Hypothesis. Next, we show self-approximation of with respe…