output
19972021
most citedAn order-N electronic structure theory with generalized eigenvalue equations and its application to a ten-million-atom system

36 citations

22 papers

math.PR2021★ 3 cited

Finite frames, frame potentials and determinantal point processes on the sphere

Masatake Hirao

Herein, we address the expectations of frame potentials of three types of determinantal point processes(DPPs) on the d-dimensional unit sphere: (i) spherical ensembles on the 2-dim…

math.NT2021

On a unified double zeta function of Mordell--Tornheim type

Shin-ya Kadota, Takuya Okamoto, Masataka Ono +1

We introduce the unified double zeta function of Mordell--Tornheim type and compute its values at non-positive integer points. We then discuss a possible generalization of the Kane…

eess.SY2020

State-switching control of the second-order chained form system

Masahide Ito

This paper addresses a motion planning problem of the second-order chained form system. The author presents a novel control approach based on switching a state. The second-order ch…

math.NT2020★ 2 cited

Finite and symmetric Mordell-Tornheim multiple zeta values

Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka

We introduce finite and symmetric Mordell-Tornheim type of multiple zeta values and give a new approach to the Kaneko-Zagier conjecture stating that the finite and symmetric multip…

math.NT2019

Finite and symmetric colored multiple zeta values and multiple harmonic q-series at roots of unity

Koji Tasaka

The Kaneko-Zagier conjecture states that finite and symmetric multiple zeta values satisfy the same relations. In the previous work with H.~Bachmann and Y.~Takeyama, we proved that…

math.NT2018

Hecke eigenform and double Eisenstein series

Koji Tasaka

Cusp forms for the full modular group can be written as linear combination of double Eisenstein series introduced by Gangl, Kaneko and Zagier. We give an explicit formula for decom…