PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
February 22, 2026International Journal of Number Theory0 citations

On convergence exponents of weighted products of consecutive partial quotients in continued fractions

View Full Paper
KSKunkun SongZZZhenliang Zhang

Key Points

  • The aim is to explore the multifractal spectrum related to the convergence exponents of weighted products of partial quotients in continued fractions.
  • Analysis of continued fraction expansions
  • Mathematical derivation of multifractal spectra
  • Examination of weighted products of partial quotients
  • Identified specific convergence exponents for weighted products
  • Described the multifractal spectrum characteristics
  • Extended discussion on products of more than two partial quotients

Abstract

Let Formula: see text be the continued fraction expansion of Formula: see text. In this paper, for any Formula: see text, we study the multifractal spectrum of the convergence exponent of the weighted product of consecutive partial quotients Formula: see text defined by Formula: see text The weighted products of more than two consecutive partial quotients is also discussed.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Song et al. (2026) studied this question.

synapsesocial.com/papers/699a9d8e482488d673cd37d2https://doi.org/10.1142/s1793042126500739
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Multifractal analysis of convergence exponents for products of consecutive partial quotients in continued fractions2024 · 5 citations
  2. 2Increasing rate of weighted product of partial quotients in continued fractions2023 · 7 citations
  3. 3The fractional dimensional theory of continued fractions1941 · 207 citations
  4. 4Metrical Theory of Continued Fractions2002 · 262 citations
  5. 5A problem of Hirst on continued fractions with sequences of partial quotients2008 · 24 citations