Tomokazu Kashio

activity

20152025

most citedThe characterization of cyclic cubic fields with power integral bases

1 citations · 2 across the 6 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 1 cited

On a common refinement of Stark units and Gross-Stark units

Tomokazu Kashio

The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its $p$ -adic analogue, in terms of Fontaine's $p$ -adic period ring an…

math.NT2017

$p$ -adic measures associated with zeta values and $p$ -adic $lo g$ multiple gamma functions

Tomokazu Kashio

We study a relation between two refinements of the rank one abelian Gross-Stark conjecture: For a suitable abelian extension $H / F$ of number fields, a Gross-Stark unit is defined a…

math.NT2017

On the ratios of Barnes' multiple gamma functions to the $p$ -adic analogues

Tomokazu Kashio

Let $F$ be a totally real field. For each ideal class $c$ of $F$ and each real embedding $ι$ of $F$ , Hiroyuki Yoshida defined an invariant $X (c, ι)$ as a finite sum of log of Barnes…

On a common refinement of Stark units and Gross-Stark units

p-adic measures associated with zeta values and p-adic log multiple gamma functions

On the ratios of Barnes' multiple gamma functions to the p-adic analogues

$p$ -adic measures associated with zeta values and $p$ -adic $lo g$ multiple gamma functions

On the ratios of Barnes' multiple gamma functions to the $p$ -adic analogues