Cover Image

Representations of Real Numbers by Alternating Perron Series and Their Geometry

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Moroz, Mykola
Format:	Preprint
Published:	2024
Subjects:	General Mathematics 11K55 (Primary) 11A67, 28A12 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The convergence of sequences in terms of positive and alternating Perron expansions
by: Moroz, Mykola
Published: (2024)

Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions
by: Moroz, Mykola
Published: (2025)

Hölder exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of numbers
by: Yelahin, Volodymyr, et al.
Published: (2026)

A counterexample to the Karvatskyi--Pratsiovytyi conjecture concerning the achievement set of an intermediate series
by: Moroz, Mykola
Published: (2024)

A Perfect Number Generalization and Some Euclid-Euler Type Results
by: Ross, Tyler
Published: (2025)

Collatz Representations With Bounded Partial Quotients
by: Kobus, Franciszek
Published: (2025)

How Prime Factors Form Fractals
by: Tillman, Micah D.
Published: (2025)

Measure theoretic properties of large products of consecutive partial quotients
by: Brown-Sarre, Adam, et al.
Published: (2024)

Exceptional sets to Shallit's law of leap years in Pierce expansions
by: Ahn, Min Woong
Published: (2024)

Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions
by: van Golden, S., et al.
Published: (2024)

On an Erdős similarity problem in the large
by: Gao, Xiang, et al.
Published: (2023)

Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)

Representations of rational numbers and Minkowski dimension
by: Chen, Haipeng, et al.
Published: (2025)

Paradoxical behavior in Collatz sequences
by: Rozier, Olivier, et al.
Published: (2025)

Dynamical Properties of Iterated Function Systems
by: M, Praveen
Published: (2024)

Series representations of positive integral powers of pi
by: Xu, Mingzhou
Published: (2024)

Hausdorff dimensions in Pierce expansions
by: Ahn, Min Woong
Published: (2023)

On transcendence of non-periodic continued fractions associated with modular forms and arithmetic functions
by: Chatterjee, Tapas, et al.
Published: (2026)

A Normality Conjecture on Rational Base Number Systems
by: Andrieu, Mélodie, et al.
Published: (2025)

Linear Independence Of Some Irrational Numbers
by: Carella, N. A.
Published: (2020)

Review of Steiner formulas in Fractal Geometry via Support measures and Complex Dimensions
by: Radunović, Goran
Published: (2025)

A threshold for Poisson behavior of non-stationary product measures
by: Hochman, Michael, et al.
Published: (2025)

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet
by: Pratsiovytyi, Mykola, et al.
Published: (2026)

Reciprocity obstructions in semigroup orbits in SL(2, Z)
by: Rickards, James, et al.
Published: (2024)

Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor
by: Gogoberidze, Tengiz O.
Published: (2024)

Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory
by: Li, Zhengqiang
Published: (2026)

Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)

Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
by: López, Ronald Orozco
Published: (2023)

Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
by: Smith, Terence R.
Published: (2025)

Convergence exponent of Pierce expansion digit sequences
by: Ahn, Min Woong
Published: (2023)

Density of Squarefree Totients $p-1$ and Primitive Roots
by: Carella, N. A.
Published: (2024)

The $S$-$E$ route to the Chebyshev bounds for the prime-counting function
by: Hubbard, Kai
Published: (2026)

The new Fermat-type factorization algorithm
by: Detto, Savino
Published: (2025)

Simultaneous Primitive Roots over Finite Rings
by: Carella, N. A.
Published: (2025)

A unifying theory for metrical results on regular continued fraction convergents and mediants
by: Dajani, Karma, et al.
Published: (2023)

An elementary proof that the set of exceptions to the law of large numbers in Pierce expansions has full Hausdorff dimension
by: Ahn, Min Woong
Published: (2024)

Introducing and Applying S.C.E Model Under Dusart's Inequality to Prove Goldbach's Strong Conjecture for 74 Typical Structures out of All 75 Structural Types of Even Number
by: Mohammadi, Aref Zadehgol, et al.
Published: (2019)

Möbius inversion and coprime summation for error-sum functions of continued fractions
by: Ahn, Min Woong
Published: (2025)

Measures supported on partly normal numbers
by: Pramanik, Malabika, et al.
Published: (2024)

Multifractal analysis of the convergence exponents for the digits in $d$-decaying Gauss like dynamical systems
by: Song, Kunkun, et al.
Published: (2024)