On expressible sets for products.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA15014YS" target="_blank" >RIV/61988987:17610/14:A15014YS - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On expressible sets for products.

Original language description

For a sequence of real numbers $an$ we call $$E_{Pi} an = biggl{ prod _{n=1}^infty left (1+ {frac{1}{a_n c_n}}right ) : c_n in mathbb Z^+ biggr},$$ its $Pi$-expressible set. In this paper we calculate $E_{Pi}an$ under various hypothesis on ${ a_n}_{n=1}^{infty}$. Where this is not possible we give some partial information on its contents. This investigation is a sequel to related investigations on the $Sigma$-expressible sets of sums.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2014

Confidentiality

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

Name of the periodical

Periodica Mathematica Hungarica

ISSN

0031-5303

e-ISSN

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Volume of the periodical

69

Issue of the periodical within the volume

2

Country of publishing house

HU - HUNGARY

Number of pages

7

Pages from-to

199-206

UT code for WoS article

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EID of the result in the Scopus database

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