DISTRIBUTION OF CLASS NUMBERS IN CONTINUED FRACTION FAMILIES OF REAL QUADRATIC FIELDS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383603" target="_blank" >RIV/00216208:11320/18:10383603 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1017/S0013091518000159" target="_blank" >https://doi.org/10.1017/S0013091518000159</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0013091518000159" target="_blank" >10.1017/S0013091518000159</a>

Result language
angličtina
Original language name
DISTRIBUTION OF CLASS NUMBERS IN CONTINUED FRACTION FAMILIES OF REAL QUADRATIC FIELDS
Original language description
We construct a random model to study the distribution of class numbers in special families of real quadratic fields Q(root d) arising from continued fractions. These families are obtained by considering continued fraction expansions of the form root D (n) = [f (n), <(u(1), u(2), ..., u(s-1), 2f(n))over bar>] with fixed coefficients u(1), ..., u(s-1) and generalize well-known families such as Chowla's 4n(2) + 1, for which analogous results were recently proved by Dahl and Lamzouri ['The distribution of class numbers in a special family of real quadratic fields', Trans. Amer. Math. Soc. (2018), 6331-6356].
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/GJ17-04703Y" target="_blank" >GJ17-04703Y: Quadratic forms and numeration systems over number fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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