Arithmetic and metric properties of p-adic Engel series expansions

被引：0

作者：

Grabner, PJ

Knopfmacher, A

机构：

[1] Graz Tech Univ, Inst Math A, A-8010 Graz, Austria

[2] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, ZA-2050 Wits, South Africa

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 63卷 / 03期

关键词：

Engel series; p-adic numbers; metric properties;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a characterization of rational numbers in terms of their unique p-adic Engel series expansions. Thereafter we investigate metric properties for the rational digits occurring in these p-adic Engel expansions. In particular, we obtain limiting distributions for the p-adic order of the digits and the p-adic order of approximation by the partial sums of the series expansions.

引用

页码：363 / 377

页数：15

共 50 条

[1] Arithmetic and metric properties of P-adic Alternating Oppenheim Expansions
Zou, Ruibiao
Wu, Haiyan
2011 INTERNATIONAL CONFERENCE ON COMPUTERS, COMMUNICATIONS, CONTROL AND AUTOMATION (CCCA 2011), VOL II, 2010, : 420 - 423
[2] Metric properties for p-adic Oppenheim series expansions
Wu, J
ACTA ARITHMETICA, 2004, 112 (03) : 247 - 261
[3] Metric properties of some special p-adic series expansions
Knopfmacher, A
Knopfmacher, J
ACTA ARITHMETICA, 1996, 76 (01) : 11 - 19
[4] Arithmetic properties of Fredholm series for p-adic modular forms
Bergdall, John
Pollack, Robert
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2016, 113 : 419 - 444
[5] Remarks on p-Adic Cantor Series Expansions
Kanasri, N. R.
Laohakosol, V.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 346 - 355
[6] ALGEBRAIC P-ADIC EXPANSIONS
LAMPERT, D
JOURNAL OF NUMBER THEORY, 1986, 23 (03) : 279 - 284
[7] THE P-ADIC ARITHMETIC MEAN
HENNIART, G
MESTRE, JF
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 308 (13): : 391 - 395
[8] p-adic arithmetic coding
Rodionov, Anatoly
Volkov, Sergey
ADVANCES IN P-ADIC AND NON-ARCHIMEDEAN ANALYSIS, 2010, 508 : 201 - +
[9] Dirichlet series expansions of p-adic L-functions
Heiko Knospe
Lawrence C. Washington
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2021, 91 : 325 - 334
[10] Dirichlet series expansions of p-adic L-functions
Knospe, Heiko
Washington, Lawrence C.
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2021, 91 (02): : 325 - 334

← 1 2 3 4 5 →