Cover Image

Irrationality of the reciprocal sum of doubly exponential sequences

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Koizumi, Junnosuke
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11J72, 11D68
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Arithmetic holonomy bounds and effective Diophantine approximation
by: Calegari, Frank, et al.
Published: (2025)

Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation
by: Miller, Steven J., et al.
Published: (2026)

Exceptions to the Erd\H os--Straus--Schinzel conjecture
by: Pomerance, Carl, et al.
Published: (2025)

An algorithm for Egyptian fraction representations with restricted denominators
by: Martin, Greg, et al.
Published: (2021)

Irrationality and transcendence questions in the "poor man's adèle ring"
by: Luca, Florian, et al.
Published: (2025)

Algebraic degree of series of reciprocal algebraic integers
by: Laursen, Mathias Løkkegaard
Published: (2022)

On solutions of $\sum_{i=1}^n 1/x_i = 1$ in integers of the form $2^a k^b$
by: Louwsma, Joel
Published: (2024)

Kronecker's and Newton's approaches to solving: A first comparison
by: Castro, D., et al.
Published: (1999)

Effective reduction theory of integral polynomials of given non-zero discriminant and its applications
by: Evertse, Jan-Hendrik, et al.
Published: (2024)

On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields
by: Capuano, Laura, et al.
Published: (2021)

Additive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated root
by: Godara, Vikas, et al.
Published: (2026)

Infinite products with algebraic numbers
by: Kristensen, Simon, et al.
Published: (2025)

Algebraic independence of infinite series
by: Hancl, Jaroslav, et al.
Published: (2025)

Transcendency of variants of Mills' constant
by: Saito, Kota
Published: (2025)

On Algebraic Conditions for the Non-Vanishing of Linear Forms in Jacobi Theta-Constants
by: Elsner, Carsten, et al.
Published: (2019)

Linear independence of continued fractions with algebraic terms
by: Hančl, Jaroslav, et al.
Published: (2024)

Mills' constant is irrational
by: Saito, Kota
Published: (2024)

Irrationality of the Deformed Euler Numbers ${\rm e}_{s,t,u}$
by: López, Ronald Orozco
Published: (2024)

Some results on naive transcendence in the ring of integers modulo infinitely large primes
by: Matsusaka, Toshiki, et al.
Published: (2026)

Distance between cubics and rationals
by: Badziahin, Dmitry
Published: (2025)

Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
by: Bruedern, Joerg, et al.
Published: (2015)

Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits
by: Adédji, Kouèssi Norbert, et al.
Published: (2025)

The sufficient conditions for insolvability of some Diophantine equations of $n$-th degree
by: Samsonadze, Eteri
Published: (2025)

On the largest value of the solutions of Erdős's last equation
by: Pink, István, et al.
Published: (2024)

Improved lower bounds for strong $n$-conjectures
by: Hölzl, Rupert, et al.
Published: (2024)

On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
by: Fuchs, Clemens, et al.
Published: (2026)

Creating Decidable Diophantine Equations
by: Dougherty-Bliss, Robert, et al.
Published: (2024)

Character sum, reciprocity and Voronoi formula
by: Kwan, Chung-Hang, et al.
Published: (2024)

The exceptional set in the abc conjecture
by: Bernert, Christian
Published: (2025)

Structure and paucity in affine diagonal systems, I
by: Brandes, Julia, et al.
Published: (2026)

Products of factorials which are products of factorials
by: Novaković, Saša
Published: (2026)

Beukers-like proofs of irrationality for $ζ{(2)}$ and $ζ{(3)}$
by: Lima, F. M. S.
Published: (2013)

Integer triangles with a rational ratio of circumcircle radius to excircle radius
by: Halbeisen, Lorenz, et al.
Published: (2025)

On almost primes solutions to forms of odd degrees in many variables
by: Magyar, Akos
Published: (2026)

Pairing Powers of Pythagorean Pairs
by: Halbeisen, Lorenz, et al.
Published: (2024)

Narayana numbers that are products of two Fibonacci numbers
by: Odjoumani, Japhet
Published: (2025)

Least zero of pairs of additive cubic equations
by: Xiao, Yixiu, et al.
Published: (2025)

Bipartite Diophantine tuples and their applications
by: Tsang, Kin Ming, et al.
Published: (2025)

A comment on the equation $n!!=a_1!!\cdots a_t!!$
by: Novaković, Saša
Published: (2026)

Fermat-Catalan and Tijdeman-Zagier conjectures for products
by: Sikora, Adam S.
Published: (2024)