A generalization of the Apéry-like numbers, which is used to describe the special values ζ_Q(2) and ζ_Q(3) of the spectral zeta function for the non-commutative harmonic oscillator, are introduced and studied. In fact, we give a recurrence relation for them, which shows a ladder structure among them. Further, we consider the 'rational part' of the generalized Apéry-like numbers. We discuss several kinds of congruence relations among them, which are regarded as an analog of the ones among Apéry numbers
Using the Pade ́ approximation of the exponential function, we obtain a general recurrence relation ...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
Abstract. We introduce a zeta function attached to a represen-tation of a group. We show that the mu...
A generalization of the Apéry-like numbers, which is used to describe the special values ζ_Q(2) and ...
We study the special values at $ s=2 $ and $ 3 $ of the spectral zeta function $ zeta_Q (s) $ of the...
Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダスト...
This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phas...
The book is a rapid pseudodifferential introduction to the spectral theory of certain systems (ellip...
This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phas...
金沢大学大学院自然科学研究科The spectral zeta function for the so-called noncommutative harmonic oscillator is abl...
The master’s thesis discusses harmonic numbers These prove to be very useful in the field of number t...
This paper is mainly meant to be a survey on the state-of-the-art of the understanding we have of a ...
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectr...
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(a...
We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated ...
Using the Pade ́ approximation of the exponential function, we obtain a general recurrence relation ...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
Abstract. We introduce a zeta function attached to a represen-tation of a group. We show that the mu...
A generalization of the Apéry-like numbers, which is used to describe the special values ζ_Q(2) and ...
We study the special values at $ s=2 $ and $ 3 $ of the spectral zeta function $ zeta_Q (s) $ of the...
Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダスト...
This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phas...
The book is a rapid pseudodifferential introduction to the spectral theory of certain systems (ellip...
This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phas...
金沢大学大学院自然科学研究科The spectral zeta function for the so-called noncommutative harmonic oscillator is abl...
The master’s thesis discusses harmonic numbers These prove to be very useful in the field of number t...
This paper is mainly meant to be a survey on the state-of-the-art of the understanding we have of a ...
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectr...
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(a...
We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated ...
Using the Pade ́ approximation of the exponential function, we obtain a general recurrence relation ...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
Abstract. We introduce a zeta function attached to a represen-tation of a group. We show that the mu...