Cover Image

On transcendence of non-periodic continued fractions associated with modular forms and arithmetic functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chatterjee, Tapas, Mandal, Sagar
Format:	Preprint
Published:	2026
Subjects:	General Mathematics Primary: 11A25, 11F11, 40A15, 11J81, Secondary: 11A55, 11B50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Small Prime $k$th Power Residues and Nonresidues in Arithmetic Progressions
by: Carella, N. A.
Published: (2024)

Totally positive elements with $m$ partitions exist in almost all real quadratic fields
by: Zindulka, Mikuláš
Published: (2024)

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

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

Refinements of Erdős's irrationality criterion for certain sparse infinite series
by: Kaneko, Hajime, et al.
Published: (2026)

On Characterizing Potential Friends of 20
by: Chatterjee, Tapas, et al.
Published: (2024)

Upper Bound of the Least Quadratic Nonresidues
by: Carella, N. A.
Published: (2021)

A note on necessary conditions for a friend of 10
by: Chatterjee, Tapas, et al.
Published: (2024)

On some periodic continued fractions along the $\mathbb{Z}_2$ extension over $\mathbb{Q}$
by: Kanamura, Yoshinori, et al.
Published: (2025)

Upper bounds for the prime divisors of friends of 10
by: Mandal, Sourav, et al.
Published: (2024)

Elliptic curves and the residue-counts of $x^2+bx+c/x$ modulo $p$
by: Sun, Zhi-Hong
Published: (2024)

Generalizations of Euler's $φ$-function with respect to systems of polynomials of several variables
by: Csizmazia, Norbert, et al.
Published: (2025)

Counting numbers that are divisible by the product of their digits
by: He, Qizheng, et al.
Published: (2024)

Computation of the Totient Summatory Function
by: Brown, Lucas Augustus
Published: (2025)

Using continued fractions with prescribed period for universal quadratic forms
by: Mensikova, Veronika, et al.
Published: (2026)

Completely Additive Height Functions: Profile Laws, Matula Bounds, and Inverse Growth
by: Bal, Hartosh Singh
Published: (2023)

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

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

On restricted averages of Dedekind sums
by: Minelli, Paolo, et al.
Published: (2023)

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

Exponential sums over singular binary quintics
by: Ishitsuka, Yasuhiro
Published: (2026)

Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
by: Tóth, László
Published: (2024)

Representations of Real Numbers by Alternating Perron Series and Their Geometry
by: Moroz, Mykola
Published: (2024)

Cubic congruences and binary quadratic forms
by: Sun, Zhi-Hong
Published: (2025)

Euler-type recurrences for $t$-color and $t$-regular partition functions
by: Bhowmik, Tapas, et al.
Published: (2024)

A Tauberian characterization of the Riemann hypothesis through the floor function
by: Cloitre, Benoit
Published: (2024)

Inequalities involving Higher Degree Polynomial Functions in $π(x)$
by: De, Subham
Published: (2024)

On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function
by: De, Subham
Published: (2024)

Critical probabilistic characteristics of the Cramér model for primes and arithmetical properties
by: Weber, Michel
Published: (2021)

Arithmetic Terms for Multinomial Coefficient Sums
by: Shunia, Joseph M., et al.
Published: (2023)

Some results about entropy and divergence in number theory
by: Mayer, Daniel C., et al.
Published: (2024)

Arithmetic constants for symplectic variances of the divisor function
by: Kuperberg, Vivian, et al.
Published: (2024)

The level of distribution of the sum-of-digits function in arithmetic progressions
by: Toumi, Nathan
Published: (2025)

Sophie Germain Primes and the Totient of Fibonacci Numbers
by: Goel, Aradhya
Published: (2026)

On the tower factorization of integers
by: De Koninck, Jean-Marie, et al.
Published: (2023)

Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)

Lower rational approximations and Farey staircases
by: Richman, David Harry
Published: (2023)

Continued fraction expansions of complex numbers, Lagrange's theorem, and badly approximable numbers
by: Dani, S. G., et al.
Published: (2025)

Counting relatively prime pairs of palindromes
by: Kobayashi, Hirotaka, et al.
Published: (2023)

Weak convergence of the periodic multiplicative Selmer algorithm
by: Kops, J. Christopher
Published: (2008)