Search Results - "Continued fractions"

A Hybrid Attack on Small Private Exponent RSA via Continued Fractions and Lattices †.

Authors: Zheng, Mengce Feng, Yansong Nitaj, Abderrahmane et al.

Source: Cryptography (2410-387X). Jun2026, Vol. 10 Issue 3, p40. 20p.

Raising operators and a parametric polynomial continued fraction for.

Authors: Shynarbek, Nurdaulet Kadyrov, Shirali Orynbassar, Alibek et al.

Source: Electronic Research Archive. 2026, Vol. 34 Issue 6, p1-19. 19p.

Sharpening Vahlen's result in Diophantine approximation.

Authors: BAKHTAWAR, AYREENA KRAAIKAMP, COR

Source: Acta Arithmetica. 2026, Vol. 223 Issue 4, p339-354. 16p.

Dynamic conceptualisation of density of ℚ in ℝ: Upper-secondary school students' spontaneous conceptions and arguments.

Authors: Grisendi, Chiara Asenova, Miglena

Source: Congress of the European Society for Research in Mathematics Education. 2/4/2026, Vol. 14, p4080-4087. 8p.

On rational numbers with nonterminating p-adic continued fraction expansion.

Authors: PEJKOVIĆ, Tomislav¹

Source: Proceedings of the Japan Academy, Series A: Mathematical Sciences. Apr2026, Vol. 102 Issue 4, p17-23. 7p.

Subjects: Continued fractions, Rational numbers, Number theory, Prime numbers, Number systems

A Matrix Elementary Operations Framework for Best Rational Approximation via Continued Fractions.

Authors: Yonwilad, Wannatida Thongmual, Noppakun Sahatsathatsana, Chanokgan et al.

Source: International Journal of Mathematics & Computer Science. 2026, Vol. 21 Issue 2, p535-539. 5p.

Continued fractions, determinant expressions, and identities.

Authors: Komatsu, Takao Kalinin, Nikita

Source: AIMS Mathematics. 2026, Vol. 11 Issue 4, p1-24. 24p.

A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras.

Authors: Baumann, Hendrik Hanschke, Thomas Hazra, Arpan

Source: Journal of Applied Mathematics. 1/14/2026, Vol. 2026, p1-21. 21p.

Subjects: Continued fractions, Banach algebras, Mathematics, Difference equations, Adjoint differential equations

Transcendental continued ß-fraction with formal power series over finite fields.

Authors: Kammoun, Rania¹ raniakammoun32@gmail.com

Source: Journal of Prime Research in Mathematics. 2026, Vol. 22 Issue 1, p180-185. 6p.

STABILITY TO PERTURBATIONS OF g–FRACTIONS.

Authors: HLADUN, V.¹ volodymyr.r.hladun@lpnu.ua

Source: Matematychni Studii. 2026, Vol. 65 Issue 1, p30-47. 18p.

ON TRUNCATION ERROR BOUNDS OF BRANCHED CONTINUED FRACTION EXPANSIONS OF SOME RATIOS OF LAURICELLA–SARAN’S HYPERGEOMETRIC FUNCTIONS FK.

Authors: DMYTRYSHYN, R. GORAN, V.

Source: Matematychni Studii. 2026, Vol. 65 Issue 1, p48-57. 10p.

The distribution of the largest digit for parabolic Iterated Function Systems of the interval.

Authors: Takahasi, Hiroki¹ hiroki@math.keio.ac.jp

Source: Journal of Fractal Geometry. 2026, Vol. 13 Issue 1/2, p151-169. 19p.

ON TWIN EP NUMBERS.

Authors: EĞECIOĞLU, ÖMER ŞAHIN, BÜNYAMIN

Source: Transactions on Combinatorics. Dec2025, Vol. 14 Issue 4, p261-270. 10p.

Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''.

Authors: Dajani, Karma Kraaikamp, Cor Sanderson, Slade

Source: Mathematics of Computation. May2026, Vol. 95 Issue 359, p1569-1572. 4p.

Subjects: Continued fractions, Scholarly periodical corrections, Refutation (Logic)

ON THE NUMERICAL STABILITY OF THE BRANCHED CONTINUED FRACTION EXPANSION OF THE RATIO H4(a, d + 1; c, d; z)/H4(a, d + 2; c, d + 1; z).

Authors: DMYTRYSHYN, M. V. CESARANO, C. KONDUR, O. et al.

Source: Matematychni Studii. 2025, Vol. 64 Issue 2, p133-143. 11p.

On the Sets of Stability to Perturbations of Some Continued Fraction with Applications.

Authors: Dmytryshyn, Marta Hladun, Volodymyr

Source: Symmetry (20738994). Sep2025, Vol. 17 Issue 9, p1442. 25p.

Truncation Error Bounds for Branched Continued Fraction Expansions of Some Appell's Hypergeometric Functions F 2.

Authors: Dmytryshyn, Roman¹ (AUTHOR)

Source: Symmetry (20738994). Aug2025, Vol. 17 Issue 8, p1204. 15p.

Continued Fractions with Quadratic Numerators via the Bauer–Muir Transform.

Authors: Chen, Kwang-Wu Liu, Chia-Hsin

Source: Mathematics (2227-7390). Aug2025, Vol. 13 Issue 15, p2332. 19p.

Hausdorff dimension of sets of numbers whose continued fractions contain arbitrarily long arithmetic progressions.

Authors: Nakajima, Yuto Takahasi, Hiroki Wang, Baowei

Source: Journal of Number Theory. Oct2026, Vol. 287, p72-94. 23p.

Subjects: Continued fractions, Arithmetic series, Irrational numbers, Mathematical sequences, Fractal dimensions, Fractals

Comparing regular and backward continued fractions: Lochs-type theorems and approximation properties.

Authors: Tian, Zhigang Fang, Lulu

Source: Journal of Number Theory. Mar2026, Vol. 280, p947-972. 26p.

Subjects: Continued fractions, Approximation theory, Mathematical expansion, Mathematics theorems, Baire spaces, Lebesgue measure, Irrational numbers