7 papers · 1 filter
Positive characteristic analogues of finite algebraic numbers
Daichi Matsuzuki, Honami Sakamoto, Jun Ueki
J.~Rosen introduced the ring of so-called finite algebraic numbers, which may be seen as an analogue of certain periods in the ring $\mathcal{A}=\prod…
Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic multiple zeta values
Ryotaro Harada, Daichi Matsuzuki
In the number theory in positive characteristic, there are analogues of some special values introduced by Carlitz, Carlitz gamma values and Carlitz zeta values for instance. Each o…
Multiple zeta values with varying constant fields
Daichi Matsuzuki
Multiple zeta values associated with function fields with varying constant fields are dealt with simultaneously. Thakur introduced multiple zeta values in the arithmetic of positiv…
On algebraic independence of Taylor coefficients of certain Anderson-Thakur series
Daichi Matsuzuki
We study algebraic independence problem for the Taylor coefficients of the Anderson-Thakur series arisen as deformation series of positive characteristic multiple zeta values (abbr…
Non-vanishing of multiple zeta values for higher genus curves over finite fields
Daichi Matsuzuki
In this paper, we show that -adic multiple zeta values associated to the function field of an algebraic curve of higher genus over a finite field are not zero, under certai…
On -adic and -adic multiple zeta functions in positive characteristic
Daichi Matsuzuki
This paper pursues positive characteristic analogues of the results of Furusho, Komori, Matsumoto and Tsumura on -adic multiple -functions. We consider -adic and -…