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On the Pythagoras number of the simplest cubic fields

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472028" target="_blank" >RIV/00216208:11320/23:10472028 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21240/23:00369395

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=LhSKDob-xu" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=LhSKDob-xu</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4064/aa221003-27-6" target="_blank" >10.4064/aa221003-27-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Pythagoras number of the simplest cubic fields

  • Original language description

    Let ρ be a root of the polynomial x3-ax2-(a+3)x-1 where a&gt;=3. We show that the Pythagoras number of the order Z[ρ] is equal to 6.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • 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)

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Arithmetica

  • ISSN

    0065-1036

  • e-ISSN

    1730-6264

  • Volume of the periodical

    208

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    PL - POLAND

  • Number of pages

    30

  • Pages from-to

    325-354

  • UT code for WoS article

    001061693400001

  • EID of the result in the Scopus database

    2-s2.0-85174599465