Frontiers in Mathematics

Sebe, Gabriela Ileana; Lascu, Dan

This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized Rényi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions.

The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field.

Details

Published by: Birkhäuser

Publication Date: 2025-04-23

Format: Paperback

ISBN-13: 9783031866333

DOI: 10.1007/978-3-031-86634-0

Dimensions: 240cm x168cm

Pages: 140