| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document

Title:GRUPE ARITMETIČNIH FUNKCIJ
Authors:Žnidarič, Mateja (Author)
Eremita, Daniel (Mentor) More about this mentor... New window
Files:.pdf UNI_Znidaric_Mateja_2011.pdf (601,67 KB)
 
Language:Slovenian
Work type:Undergraduate thesis (m5)
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu je predstavljena teorija aritmetičnih funkcij s poudarkom na multiplikativnih in antimultiplikativnih funkcijah. Podrobno je obravnavana grupa aritmetičnih funkcij, ki jo poraja Dirichletov produkt. Opisana je tudi struktura te grupe. Prav tako je podrobno obravnavana še podgrupa vseh aritmetičnih funkcij, ki število 1 preslikajo v 1. Ta podgrupa je obravnavana tudi kot vektorski prostor nad poljem racionalnih števil. Eric Temple Bell je posebne potenčne vrste, ki jim pravimo Bellove vrste, uporabil za študij lastnosti multiplikativnih aritmetičnih funkcij. V diplomskem delu poiščemo Bellove vrste nekaterih multiplikativnih funkcij. Z Bellovimi vrstami so izpeljani nekateri rezultati povezani z linearno neodvisnostjo multiplikativnih funkcij.
Keywords:Aritmetične funkcije, Dirichletov produkt, multiplikativne funkcije, antimultiplikativne funkcije, grupa aritmetičnih funkcij, Bellove vrste.
Year of publishing:2011
Publisher:[M. Žnidarič]
Source:Maribor
UDC:51(043.2)
COBISS_ID:18607624 Link is opened in a new window
NUK URN:URN:SI:UM:DK:XHE3KJ6A
Views:1255
Downloads:107
Metadata:XML RDF-CHPDL DC-XML DC-RDF
Categories:FNM
:
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:AddThis
AddThis uses cookies that require your consent. Edit consent...

Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:English
Title:GROUPS OF ARITHMETICAL FUNCTION
Abstract:This graduation thesis presents the theory of arithmetical functions with emphasis on multiplicative and antimultiplicative functions. The group of arithmetical functions according to the Dirichlet product is considered. The structure of this group is also described. The subgroup of all arithmetical functions which map 1 to 1 is also considered. We consider this subgroup as a vector space over the field of rational numbers. Eric Temple Bell had used special power series for studying properties of multiplicative arithmetical function. His special power series are now called Bell series. Bell series of some multiplicative functions are determinated. Using Bell series some results on linear independence of multiplicative function are obtained.
Keywords:Arithmetical functions, Dirichlet product, multiplicative functions, antimultiplicative functions, group of arithmatical functions, Bell series.


Comments

Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica