Each Positive Rational Number Has the Form

Dmitry Krachun; Zhi Wei Sun

doi:10.1080/00029890.2020.1801294

Each Positive Rational Number Has the Form

Dmitry Krachun, Zhi Wei Sun

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this note, we show that each positive rational number can be written as (Formula presented.), where (Formula presented.) is Euler’s totient function and m and n are positive integers.

Original language	English (US)
Pages (from-to)	847-849
Number of pages	3
Journal	American Mathematical Monthly
Volume	127
Issue number	9
DOIs	https://doi.org/10.1080/00029890.2020.1801294
State	Published - Oct 20 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

MSC: Primary 11A25
Secondary 11D85

Access to Document

10.1080/00029890.2020.1801294

Cite this

@article{4135edfb02964902bfec5f1badde4143,

title = "Each Positive Rational Number Has the Form",

abstract = "In this note, we show that each positive rational number can be written as (Formula presented.), where (Formula presented.) is Euler{\textquoteright}s totient function and m and n are positive integers.",

keywords = "MSC: Primary 11A25, Secondary 11D85",

author = "Dmitry Krachun and Sun, {Zhi Wei}",

note = "Publisher Copyright: {\textcopyright} 2020, THE MATHEMATICAL ASSOCIATION OF AMERICA.",

year = "2020",

month = oct,

day = "20",

doi = "10.1080/00029890.2020.1801294",

language = "English (US)",

volume = "127",

pages = "847--849",

journal = "American Mathematical Monthly",

issn = "0002-9890",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Each Positive Rational Number Has the Form

AU - Krachun, Dmitry

AU - Sun, Zhi Wei

PY - 2020/10/20

Y1 - 2020/10/20

N2 - In this note, we show that each positive rational number can be written as (Formula presented.), where (Formula presented.) is Euler’s totient function and m and n are positive integers.

AB - In this note, we show that each positive rational number can be written as (Formula presented.), where (Formula presented.) is Euler’s totient function and m and n are positive integers.

KW - MSC: Primary 11A25

KW - Secondary 11D85

UR - http://www.scopus.com/inward/record.url?scp=85093100399&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85093100399&partnerID=8YFLogxK

U2 - 10.1080/00029890.2020.1801294

DO - 10.1080/00029890.2020.1801294

M3 - Article

AN - SCOPUS:85093100399

SN - 0002-9890

VL - 127

SP - 847

EP - 849

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 9

ER -

Each Positive Rational Number Has the Form

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this