6 papers · 1 filter
On a Question of Lehmer concerning the Comtet Numbers
Sangtae Jeong
The Comtet numbers and of the first and second kind arise from the powers of and of its compositional inverse, respectively. By interpreting both…
Ergodicity for uniformly differentiable modulo functions on
Sangtae Jeong
We provide an ergodicity criterion for uniformly differentiable modulo functions on in regard to the minimal level of the reduced functions by showing that ergo…
Cartier operators on fields of positive characteristic p
Sangtae Jeong
From an analytical perspective, we introduce a sequence of Cartier operators that act on the field of formal Laurent series in one variable with coefficients in a field of positive…
Toward the ergodicity of -adic 1-Lipschitz functions represented by the van der Put series
Sangtae Jeong
Yurova \cite{Yu} and Anashin et al. \cite{AKY1, AKY2} characterize the ergodicity of a 1-Lipschitz function on in terms of the van der Put expansion. Motivated by their rece…
On a question of Goss
Sangtae Jeong
In this note we answer the question raised by D. Goss in [Applications of non-Archimedean integration to the -series of -sheaves, {\em J. Number Theory,} 110 (2005), no. 1, 8…
A comparison of the Carlitz and digit derivatives bases in function field arithmetic
Sangtae Jeong
In this paper we compare several properties and constructions of the Carlitz polynomials and digit derivatives for continuous functions on $\F_q[[T]].$ In particular, we show a clo…