2 citations · 3 across the 10 of their papers we have counts for
10 papers
Linear relations among algebraic points on tensor powers of the Carlitz module
Yen-Tsung Chen, Ryotaro Harada
In the present paper, we study linear equations on tensor powers of the Carlitz module using the theory of Anderson dual -motives and a detailed analysis of a specific Frobenius…
Colored multizeta values in positive characteristic
Ryotaro Harada
In this paper, we study Shen-Shi's colored multizeta values in positive characteristic, which are generalizations of multizeta values in positive characteristic by Thakur. We estab…
On the period interpretation for some special values of Thakur hypergeometric functions
Ryotaro Harada
In 1995, Thakur invented and studied positive characteristic analogues of hypergeometric functions. In this paper, we interpret the special values of those functions as periods of…
On lower bounds of the dimensions of multizeta values in positive characteristic
Yen-Tsung Chen, Ryotaro Harada
In this paper, we study the linear independence of special values, including the positive characteristic analogue of multizeta values, alternating multizeta values and multiple pol…
Alternating multizeta values in positive characteristic
Ryotaro Harada
We introduce alternating multizeta values in positive characteristic which are generalizations of Thakur multizeta values. We establish their fundamental properties including non-v…
On multi-poly-Bernoulli-Carlitz numbers
Ryotaro Harada
We introduce multi-poly-Bernoulli-Carlitz numbers, function field analogues of multi-poly-Bernoulli numbers of Imatomi-Kaneko-Takeda. We explicitly describe multi-poly-Bernoulli Ca…
On Lara Rodríguez' full conjecture for double zeta values in function fields
Ryotaro Harada
This paper discusses four formulae conjectured by J. A. Lara Rodríguez on certain power series in function fields, which yield a 'harmonic product' formula for Thakur's double zeta…
On Euler's formulae for double zeta values
Ryotaro Harada
In 1776, L. Euler proposed three methods, called prima methodus, secunda methodus and tertia methodus, to calculate formulae for double zeta values. However strictly speaking, his…
Operational and harmonic-analytic aspects of quasi-probability distributions
Ryo Harada
Husimi distributions and Wigner distributions are well-known quasi-probability distributions which appear in several contexts. In this paper, we show some remarkable aspects of the…
A Unified Scheme of Measurement and Amplification Processes based on Micro-Macro Duality -- Stern-Gerlach experiment as a typical example
Ryo Harada, Izumi Ojima
A unified scheme for quantum measurement processes is formulated on the basis of Micro-Macro duality as a mathematical expression of the general idea of quantum-classical correspon…