On the generalizations of the unit sum number problem

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00198915" target="_blank" >RIV/68407700:21340/12:00198915 - isvavai.cz</a>
Výsledek na webu
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Jazyk výsledku
angličtina
Název v původním jazyce
On the generalizations of the unit sum number problem
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
On the generalizations of the unit sum number problem
Popis výsledku anglicky
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.

Rok uplatnění
2012
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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