Schneider's p-adic continued fractions

被引：2

作者：

Pejkovic, T. ^{[1
]}

机构：

[1] Univ Zagreb, Fac Sci, Dept Math, Bijenicka cesta 30, Zagreb 10000, Croatia

来源：

ACTA MATHEMATICA HUNGARICA | 2023年 / 169卷 / 01期

关键词：

p-adic number; continued fraction; irrationality exponent; APPROXIMATION;

D O I：

10.1007/s10474-023-01306-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Schneider's version of p-adic continued fractions. We are interested in the finiteness of rational number expansion, the quality of approximation by convergents, the irrationality exponent of a number with a given continued fraction expansion, and the convergence of Schneider's continued fractions in the field of real numbers. The main requirement for all of these problems is a good estimate of growth for the sequences of numerators and denominators of convergents.

引用

页码：191 / 215

页数：25

共 50 条

[1] Schneider’s p-adic continued fractions
T. Pejković
Acta Mathematica Hungarica, 2023, 169 : 191 - 215
[2] On the digits of Schneider's p-adic continued fractions
Hu, Hui
Yu, Yueli
Zhao, Yanfen
JOURNAL OF NUMBER THEORY, 2018, 187 : 372 - 390
[3] p-ADIC CONTINUED FRACTIONS (Ⅰ)
王连祥
Science China Mathematics, 1985, (10) : 1009 - 1017
[4] p-ADIC CONTINUED FRACTIONS (Ⅰ)
王连祥
ScienceinChina,SerA., 1985, Ser.A.1985 (10) : 1009 - 1017
[5] p-adic Continued Fractions Ⅲ
王连祥
莫德泽
ActaMathematicaSinica, 1986, (04) : 299 - 308
[6] ON p-ADIC CONTINUED FRACTIONS
Dalloul, Amran
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (05): : 875 - 886
[7] P-adic continued fractions
Hirsh, Jordan
Washington, Lawrence C.
RAMANUJAN JOURNAL, 2011, 25 (03): : 389 - 403
[8] p-adic Continued Fractions Ⅲ
王连祥
莫德泽
Acta Mathematica Sinica,English Series, 1986, (04) : 299 - 308
[9] P-adic continued fractions
Jordan Hirsh
Lawrence C. Washington
The Ramanujan Journal, 2011, 25 : 389 - 403
[10] Quaternionic p-adic continued fractions
Capuano, Laura
Mula, Marzio
Terracini, Lea
COMMUNICATIONS IN ALGEBRA, 2025, 53 (03) : 929 - 949

← 1 2 3 4 5 →