Representations of Real Numbers by Alternating Perron Series and Their Geometry

Autor:	Moroz, Mykola
Rok vydání:	2024
Předmět:	Mathematics - General Mathematics 11K55 (Primary) 11A67 28A12 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We consider the representation of real numbers by alternating Perron series ($P^-$-representation), which is a generalization of representations of real numbers by Ostrogradsky-Sierpi\'nski-Pierce series (Pierce series), alternating Sylvester series (second Ostrogradsky series), alternating L\"{u}roth series, etc. Namely, we prove the basic topological and metric properties of $P^-$-representation and find the relationship between $P$-representation and $P^-$-representation in some measure theory problems. Comment: 22 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.01465 Zobrazit plný text záznamu View this record from Arxiv