p-adic quotient sets

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F17%3AA1801R7K" target="_blank" >RIV/61988987:17310/17:A1801R7K - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4064/aa8579-4-2017" target="_blank" >http://dx.doi.org/10.4064/aa8579-4-2017</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/aa8579-4-2017" target="_blank" >10.4064/aa8579-4-2017</a>

Result language

angličtina

Original language name

p-adic quotient sets

Original language description

For A⊆N, the question of when R(A)={a/a′:a,a′∈A} is dense in the positive real numbers R+ has been examined by many authors over the years. In contrast, the p-adic setting is largely unexplored. We investigate conditions under which R(A) is dense in the p-adic numbers. Techniques from elementary, algebraic, and analytic number theory are employed in this endeavor. We also pose many open questions that should be of general interest.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ACTA ARITH

ISSN

0065-1036

e-ISSN

1730-6264

Volume of the periodical

179

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

22

Pages from-to

163-184

UT code for WoS article

000408950700005

EID of the result in the Scopus database

2-s2.0-85023176334