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Bibliographic Details
Main Author:	Mihailescu, Preda
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	https://arxiv.org/abs/2509.18275
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Fermat's and Catalan's equations over $M_2(\mathbb{Z})$
by: Li, Hongjian, et al.
Published: (2025)

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

Chabauty Limits of Fermat Spirals
by: Tevet, Yohay Ailon
Published: (2025)

The Fermat's and Euler's congruence theorems
by: Koner, Sourav, et al.
Published: (2020)

The Heisenberg covering of the Fermat curve
by: Banerjee, Debargha, et al.
Published: (2022)

Fermat descent
by: Arango-Piñeros, Santiago
Published: (2025)

Local solubility of generalised Fermat equations
by: Koymans, Peter, et al.
Published: (2025)

Effective Darmon's program for the generalised Fermat equation
by: Azon, Martin
Published: (2025)

Root numbers for twisted Fermat quotient curves
by: Yanagihara, Ryosuke
Published: (2025)

Some Congruences Involving Binomial Coefficient and Fermat Quotient
by: Qi, Wei-Wei
Published: (2025)

On the generalized Fermat equation of signature $(5,p,3)$
by: Pacetti, Ariel, et al.
Published: (2025)

Courbes de Fermat et principe de Hasse
by: Kraus, Alain
Published: (2025)

Root numbers for twisted Fermat quotient curves II
by: Yanagihara, Ryosuke
Published: (2026)

Primitive points on some low degree Fermat curves
by: Khawaja, Maleeha
Published: (2026)

Catalan's conjecture is Mihăilescu's theorem
by: Klazar, Martin
Published: (2026)

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $ζ$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence
by: Moser, Jan
Published: (2025)

Arithmetic dynamics and Generalized Fermat's conjecture
by: Moriwaki, Atsushi
Published: (2026)

A Pillai-Catalan-type problem involving Fibonacci numbers
by: Ibrahimov, Seyran S., et al.
Published: (2024)

Fermat near misses and the integral Hilbert Property
by: Alessandrì, Jessica, et al.
Published: (2025)

An integral representation of Catalan numbers using Malmstén's formula
by: Pain, Jean-Christophe
Published: (2024)

Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$
by: Khawaja, Maleeha, et al.
Published: (2022)

Quadratic points on the Fermat quartic over number fields
by: González-Jiménez, Enrique
Published: (2026)

Frobenius nonclassicality of generalized Fermat curves with respect to conics
by: Arakelian, Nazar, et al.
Published: (2026)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

On Darmon's program for the generalized Fermat equation, I
by: Billerey, Nicolas, et al.
Published: (2022)

On Darmon's program for the Generalized Fermat equation, II
by: Billerey, Nicolas, et al.
Published: (2023)

The Generalized Fermat Equation $x^2 + y^3 = z^{25}$
by: Freitas, Nuno, et al.
Published: (2025)

Asymptotic Fermat equation of signature $(r, r, p)$ over totally real fields
by: Jha, Somnath, et al.
Published: (2025)

Jacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)
by: Moser, Jan
Published: (2026)

Touchard's identity and a detailed determination of the radius of convergence of the Catalan series
by: Pain, Jean-Christophe
Published: (2026)

ABC Conjecture: $ABC = 2^m p^n q^r$ with Fermat or Mersenne Primes
by: Saxena, Anupam
Published: (2018)

Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
by: Sahoo, Satyabrat
Published: (2026)

Generalised Fermat equation: a survey of solved cases
by: Ratcliffe, Ashleigh, et al.
Published: (2024)

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers
by: Marques, Sophie, et al.
Published: (2025)

Jacob's ladders, next equivalents of the Fermat-Wiles theorem and new infinite sets of the equivalents generated by the Dirichlet's series
by: Moser, Jan
Published: (2025)

Effective Generalized Fermat equation of signature $(2p, 2q, r)$ with odd narrow class number
by: Sahoo, Satyabrat
Published: (2025)

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders
by: Moser, Jan
Published: (2024)

Nontrivial solutions to the Fermat equation $x^3+y^3=kz^3$ over quadratic number fields
by: Argaez-Garcia, Alejandro, et al.
Published: (2023)

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