3 papers
math.NT2026
Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences
Yutaro Matsuno
We construct a big Witt theory associated with coefficient-multiplicative normalized -twisted Lubin-Tate formal groups. The resulting -big Witt ring extends Hazewinkel's rami…
math.NT2026
A resolution of Kellner's conjectures on Wilson quotients
Yutaro Matsuno
Kellner expressed higher congruences for the Wilson quotient of an odd prime in terms of power sums of Fermat quotients, and recursively constructed certain -independe…
math.NT2026
On Euclidean systems of ray classes
Yutaro Matsuno
Lenstra introduced the notion of Euclidean ideal classes, and Treatman extended it to Euclidean systems. In this paper, we formulate Euclidean systems for ray classes, and study th…