Form of presentation | Articles in international journals and collections |
Year of publication | 2010 |
|
Lerner Eduard Yulevich, author
|
Bibliographic description in the original language |
About statistics of periods of continued fractions of quadratic irrationalities / E.Yu. Lerner // Functional Analysis and Other Mathematics, 2010, vol. 3, Issue 1, pp. 75-83. In this paper we answer certain questions posed by V.I. Arnold, namely, we study periods of continued fractions for solutions of quadratic equations in the form
x^2+px=q with integer p and q, p^2+q^2≤R^2. We prove a weak variant of Arnold conjectures about the Gauss-Kuzmin statistics with R→∞. |
Annotation |
Functional Analysis and Other Mathematics |
Place of publication |
Berlin / Heidelberg |
The name of the journal |
Functional Analysis and Other Mathematics
|
Publishing house |
Springer |
URL |
http://link.springer.com/journal/11853/3/1/page/1#page-1 |
Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=51319&p_lang=2 |
Full metadata record ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
Field DC |
Value |
Language |
dc.contributor.author |
Lerner Eduard Yulevich |
ru_RU |
dc.date.accessioned |
2010-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2010-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2010 |
ru_RU |
dc.identifier.citation |
About statistics of periods of continued fractions of quadratic irrationalities / E.Yu. Lerner // Functional Analysis and Other Mathematics, 2010, vol. 3, Issue 1, pp. 75-83. In this paper we answer certain questions posed by V.I. Arnold, namely, we study periods of continued fractions for solutions of quadratic equations in the form
x^2+px=q with integer p and q, p^2+q^2≤R^2. We prove a weak variant of Arnold conjectures about the Gauss-Kuzmin statistics with R→∞. |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=51319&p_lang=2 |
ru_RU |
dc.description.abstract |
Functional Analysis and Other Mathematics |
ru_RU |
dc.description.abstract |
Functional Analysis and Other Mathematics |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.publisher |
Springer |
ru_RU |
dc.title |
About statistics of periods of continued fractions of quadratic irrationalities / E.Yu. Lerner // Functional Analysis and Other Mathematics, 2010, vol. 3, Issue 1, pp. 75-83. In this paper we answer certain questions posed by V.I. Arnold, namely, we study periods of continued fractions for solutions of quadratic equations in the form
x^2+px=q with integer p and q, p^2+q^2≤R^2. We prove a weak variant of Arnold conjectures about the Gauss-Kuzmin statistics with R→∞. |
ru_RU |
dc.type |
Articles in international journals and collections |
ru_RU |
|