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1. Counting rational points on smooth hypersurfaces with high degree
   2025/03/25 by Verzobio, Matteo · 2 citations
   #11D41 #11D45 #FOS: Mathematics #Number Theory (math.NT)
2. Hypergeometric motives and the generalized Fermat equation
   2024/12/11 by Franco Golfieri Madriaga, Madriaga, Franco Golfieri, Ariel Pacetti +1 · 2 citations
   Computer Science · Mathematics · #11D41 #11F80 #33C05 #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #Polynomial and algebraic computation
3. Conductor exponents for families of hyperelliptic curves
   2024/10/28 by Azon, Martin, Curcó-Iranzo, Mar, Khawaja, Maleeha +2 · 2 citations
   #11D41 #11F80 #11G20 #11G30 #14H20 #14Q05 #FOS: Mathematics #Number Theory (math.NT)
4. Non-trivial Integer Solutions of x^r+y^r=Dz^p
   2024/04/10 by Yasemin Kara, Kara, Yasemin, Diana Mocanu +3 · 1 citation
   Mathematics · #11D41 #11G05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
5. On Darmon's program for the Generalized Fermat equation, II
   2023/08/14 by Billerey, Nicolas, Chen, Imin, Dielefait, Luis +1 · 1 citation
   #11D41 #FOS: Mathematics #Number Theory (math.NT)
6. Diophantine equations with three monomials
   2023/07/05 by Bogdan Grechuk, Tetiana Grechuk, Grechuk, Bogdan +3 · 1 citation
   Computer Science · Mathematics · #11D41 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
7. On endomorphism algebras of GL₂-type abelian varieties and Diophantine applications
   2022/11/29 by Madriaga, Franco Golfieri, Pacetti, Ariel, Torcomian, Lucas Villagra · 1 citation
   #11D41 #11F80 #FOS: Mathematics #Number Theory (math.NT)
8. Asymptotic Fermat for signatures (p,p,2) and (p,p,3) over totally real fields
   2022/03/06 by Mocanu, Diana · 3 citations
   #11D41 #11F80 #11G05 #FOS: Mathematics #Number Theory (math.NT)
9. Rational Periodic Points of x^d+c and Fermat-Catalan Equations
   2021/05/08 by Panraksa, Chatchawan · 3 citations
   #11D25 #11D41 #37P35 #FOS: Mathematics #Number Theory (math.NT)
10. Some extensions of the modular method and Fermat equations of signature (13,13,n)
    2018/02/12 by Nicolas Billerey, Billerey, Nicolas, Imin Chen +7 · 4 citations
    Computer Science · Mathematics · #11D41 #11F80 #11G10 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
11. On the asymptotic Fermat's Last Theorem over number fields
    2016/09/14 by Sengun, Mehmet Haluk, Siksek, Samir · 2 citations
    #11D41 #FOS: Mathematics #Number Theory (math.NT)
12. Fermat-like equations that are not partition regular
    2016/05/24 by Di Nasso, Mauro, Riggio, Maria · 3 citations
    #05D10 #11D41 #FOS: Mathematics #Logic (math.LO) #Primary 03H05 #Secondary 03E05
13. On a modular Fermat equation
    2015/08/20 by Pila, Jonathan · 2 citations
    #03C64 #11D41 #11G18 #FOS: Mathematics #Logic (math.LO) #Number Theory (math.NT)
14. Perfect powers expressible as sums of two fifth or seventh powers
    2013/09/16 by Dahmen, Sander R., Siksek, Samir · 3 citations
    #11D41 #FOS: Mathematics #Number Theory (math.NT)
15. On Büchi's K3 surface
    2012/12/06 by Michela Artebani, Antonio Laface, Artebani, Michela +3 · 1 citation
    Mathematics · #11D41 #14J28 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
16. A note on the first cuboid conjecture
    2011/09/12 by Sharipov, Ruslan · 1 citation
    #11D41 #11D72 #12E05 #FOS: Mathematics #Number Theory (math.NT)
17. A note on a perfect Euler cuboid
    2011/04/09 by Sharipov, Ruslan · 2 citations
    #11D41 #11D72 #FOS: Mathematics #Number Theory (math.NT)
18. Descent on superelliptic curves
    2010/10/12 by Mourao, Michael · 1 citation
    #11D41 #11D45 #11G20 #11G30 #FOS: Mathematics #Number Theory (math.NT)
19. A refined modular approach to the Diophantine equation x²+y²ⁿ=z³
    2010/01/29 by Sander R. Dahmen, Dahmen, Sander R. · 2 citations
    Arts and Humanities · Mathematics · #11D41 #11F11 #11F80 #11G05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #French Literature and Poetry #Number Theory (math.NT)
20. Primitive Integral Solutions to x² + y³ = z¹⁰
    2009/11/16 by Brown, David · 1 citation
    #11D41 #11G18 #11G30 #14G05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
21. Rational points on certain del Pezzo surfaces of degree one
    2009/01/17 by Ulas, Maciej · 1 citation
    #11D25 #11D41 #11G052 #FOS: Mathematics #Number Theory (math.NT)
22. On the Linear Independence of Roots
    2007/03/19 by Richard Carr, Carr, Richard, Cormac O’Sullivan +1 · 1 citation
    Computer Science · Mathematics · #11D41 #12F10 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation