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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F12%3A00198915%21RIV13-MSM-21340___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
This contribution is devoted to the study of representations of algebraic integers of a number field as linear combinations of units with coefficients coming from a fixed finite set, and as sums of elements having small norms in absolute value. These theorems can be viewed as results concerning a generalization of the so-called unit sum number problem, as well. Beside these, extending previous related results we give an upper bound for the length of arithmetic progressions of t-term sums of algebraic integers having small norms in absolute value. This contribution is devoted to the study of representations of algebraic integers of a number field as linear combinations of units with coefficients coming from a fixed finite set, and as sums of elements having small norms in absolute value. These theorems can be viewed as results concerning a generalization of the so-called unit sum number problem, as well. Beside these, extending previous related results we give an upper bound for the length of arithmetic progressions of t-term sums of algebraic integers having small norms in absolute value.
dcterms:title
On the generalizations of the unit sum number problem On the generalizations of the unit sum number problem
skos:prefLabel
On the generalizations of the unit sum number problem On the generalizations of the unit sum number problem
skos:notation
RIV/68407700:21340/12:00198915!RIV13-MSM-21340___
n11:predkladatel
n21:orjk%3A21340
n3:aktivita
n20:S
n3:aktivity
S
n3:dodaniDat
n15:2013
n3:domaciTvurceVysledku
n17:7316445
n3:druhVysledku
n8:D
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n4:predkladatel
n3:idSjednocenehoVysledku
156401
n3:idVysledku
RIV/68407700:21340/12:00198915
n3:jazykVysledku
n7:eng
n3:klicovaSlova
number field; linear combinations of units; arithmetic progressions
n3:klicoveSlovo
n13:linear%20combinations%20of%20units n13:number%20field n13:arithmetic%20progressions
n3:kontrolniKodProRIV
[1F53922914AB]
n3:mistoKonaniAkce
Praha
n3:mistoVydani
Praha
n3:nazevZdroje
Doktorandské dny 2012
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n15:2012
n3:tvurceVysledku
Dombek, Daniel
n3:typAkce
n6:CST
n3:zahajeniAkce
2012-11-16+01:00
s:numberOfPages
5
n10:hasPublisher
Česká technika - nakladatelství ČVUT
n16:isbn
978-80-01-05138-2
n5:organizacniJednotka
21340