ARITHMETIC-GEOMETRIC MEAN SEQUENCES over FINITE FIELDS Fq, WHERE q ≡ 5(mod 8)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10511405" target="_blank" >RIV/00216208:11320/25:10511405 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=-T7u7ujTqM" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=-T7u7ujTqM</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0004972725000085" target="_blank" >10.1017/S0004972725000085</a>

Result language
angličtina
Original language name
ARITHMETIC-GEOMETRIC MEAN SEQUENCES over FINITE FIELDS Fq, WHERE q ≡ 5(mod 8)
Original language description
Arithmetic-geometric mean sequences were already studied over the real and complex numbers, and recently, Griffin et al. ['AGM and jellyfish swarms of elliptic curves', Amer. Math. Monthly 130(4) (2023), 355-369] considered them over finite fields F<inf>q</inf> for q IDENTICAL TO 3(mod 4) . We extend the definition of arithmetic-geometric mean sequences over to F<inf>q</inf> to q IDENTICAL TO 5(mod 8). We explain the connection of these sequences with graphs and explore the properties of the graphs in the case where q IDENTICAL TO 5(mod 8).
Czech name
—
Czech description
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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

Project
<a href="/en/project/GM21-00420M" target="_blank" >GM21-00420M: Universal Quadratic Forms and Class Numbers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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