O Narkiewiczevih in eksponentnih konvolucijah : magistrsko delo

FMF, Mathematical Library, Lj. (MAKLJ)

O Narkiewiczevih in eksponentnih konvolucijah : magistrsko delo

Breznik, Kristijan

Aritmetične funkcije so preslikave iz množice naravnih števil v množico kompleksnih števil. Posebne vrste množenja aritmetičnih funkcij med sabo imenujemo aritmetične konvolucije. V magistrskem delu ... pregledamo nakaj aritmetičnih konvolucij in njihovih posplošitev. Podrobno raziščemo Narkoewiczeve ▫$A$▫-konvolucije, ki so posplošitev bolj znanih Dirichletove in unitarne konvolucije. Definiramo pojem regularne ▫$A$▫-konvolucije in ga okarakteriziramo. Nato razširimo definicijo multiplikativnih funkcij na ▫$A$▫-multiplikativne funkcije. Dokažemo, da veljajo za ▫$A$▫-multiplikativne funkcije pod Narkiewiczevimi ▫$A$▫-konvolucijami podobni izreki kot za multiplikativne funkcije pod Dirichletovo konvolucijo. Vpeljemo eksponentno multiplikativne funkcije in eksponentno ▫$A$▫-multiplikativne funkcije. Dokažemo, da tudi zanje veljajo podobni izreki.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Poljčane : [K. Breznik], 2007

Language - slovenian

COBISS.SI-ID - 14288473

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Skladišče-Jadranska 21 11052/39	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Breznik, Kristijan	30604
Bračič, Janko	19511

Source: Personal bibliographies and: SICRIS

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