RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 449, Pages 84–129 (Mi znsl6324)

This article is cited in 4 papers

Periodic karyon expansions of algebraic units in multidimensional continued fractions

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia

Abstract: Periodic expansions of algebraic numbers in multidimensional continued fractions are obtained by using multidimensional backward maps and the differentiation method of induced toric tilings.

Key words and phrases: induced toric tilings, best multidimensional approximations, Lagrange theorem.

UDC: 511

Received: 01.08.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 225:6, 893–923

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025