Generalised Fermat equations in dense variables over finite fields and rings
Fuente:
arXiv
Saved in:
| Main Authors: | Chow, Sam, Lim, Zi Li, Mudgal, Akshat |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Arithmetic regularity as an alternative to transference
by: Chow, Sam, et al.
Published: (2026)
by: Chow, Sam, et al.
Published: (2026)
Counting Lattices with Local Hecke Series
by: Bhowmik, Gautami, et al.
Published: (2025)
by: Bhowmik, Gautami, et al.
Published: (2025)
Enumerative Galois theory for number fields
by: Chow, Sam, et al.
Published: (2023)
by: Chow, Sam, et al.
Published: (2023)
The lost proof of Fermat's last theorem
by: Ossicini, Andrea
Published: (2017)
by: Ossicini, Andrea
Published: (2017)
Incidence geometry and polynomial expansion over finite fields
by: Arala, Nuno, et al.
Published: (2024)
by: Arala, Nuno, et al.
Published: (2024)
Counting integer points on affine surfaces with a side condition
by: Browning, Tim, et al.
Published: (2024)
by: Browning, Tim, et al.
Published: (2024)
Arithmetic closed forms count the Mersenne primes, the Fermat primes and the twin-prime pairs
by: Prunescu, Mihai
Published: (2025)
by: Prunescu, Mihai
Published: (2025)
The average analytic rank of elliptic curves with prescribed level structure
by: Cho, Peter J., et al.
Published: (2023)
by: Cho, Peter J., et al.
Published: (2023)
Counting solutions to the quadratic determinant equation
by: Chapman, Jonathan, et al.
Published: (2026)
by: Chapman, Jonathan, et al.
Published: (2026)
On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
by: Isik, Erman, et al.
Published: (2025)
by: Isik, Erman, et al.
Published: (2025)
Integral solutions to systems of diagonal equations
by: Rome, Nick, et al.
Published: (2024)
by: Rome, Nick, et al.
Published: (2024)
The growth of Tate-Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic $\mathbb{Z}_p$-extensions at inert primes
by: Isik, Erman, et al.
Published: (2024)
by: Isik, Erman, et al.
Published: (2024)
Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
by: Deng, Li-Tong, et al.
Published: (2026)
by: Deng, Li-Tong, et al.
Published: (2026)
Random walks and the "Euclidean" association scheme in finite vector spaces
by: Brittenham, Charles, et al.
Published: (2024)
by: Brittenham, Charles, et al.
Published: (2024)
A survey on the generalized Fermat equation of various signatures over totally real fields
by: Sahoo, Satyabrat
Published: (2025)
by: Sahoo, Satyabrat
Published: (2025)
On arithmetic terms expressing the prime-counting function and the n-th prime
by: Prunescu, Mihai, et al.
Published: (2024)
by: Prunescu, Mihai, et al.
Published: (2024)
Perfect powers in the product of denominators of elliptic curves
by: Bhakta, Subham
Published: (2026)
by: Bhakta, Subham
Published: (2026)
On commuting pairs in arbitrary sets of 2x2 matrices
by: Mudgal, Akshat
Published: (2024)
by: Mudgal, Akshat
Published: (2024)
Iterating additive polynomials over finite fields
by: Reis, Lucas
Published: (2025)
by: Reis, Lucas
Published: (2025)
Counting $2 \times 2$ integer matrices with a given determinant
by: Chapman, Jonathan, et al.
Published: (2025)
by: Chapman, Jonathan, et al.
Published: (2025)
On the Ratat-Goormaghtigh equation and integer points close to the graph of a smooth function
by: Yamada, Tomohiro
Published: (2025)
by: Yamada, Tomohiro
Published: (2025)
Angular distribution towards the points of the neighbor-flips modular curve seen by a fast moving observer
by: Anderson, Jack, et al.
Published: (2023)
by: Anderson, Jack, et al.
Published: (2023)
On shifted convolution sums of $\mathrm{GL}(3)$-Fourier coefficients with an average over shifts
by: Pal, Ritwik, et al.
Published: (2025)
by: Pal, Ritwik, et al.
Published: (2025)
A comment on the equation $n!!=a_1!!\cdots a_t!!$
by: Novaković, Saša
Published: (2026)
by: Novaković, Saša
Published: (2026)
On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)
by: Best, Alex J., et al.
Published: (2025)
Solving Fermat-type equations over quadratic fields
by: Cakti, Begum Gulsah
Published: (2025)
by: Cakti, Begum Gulsah
Published: (2025)
Structure and paucity in affine diagonal systems, I
by: Brandes, Julia, et al.
Published: (2026)
by: Brandes, Julia, et al.
Published: (2026)
The exceptional set in the abc conjecture
by: Bernert, Christian
Published: (2025)
by: Bernert, Christian
Published: (2025)
Strong paucity in the Brüdern-Robert Diophantine system
by: Wooley, Trevor D.
Published: (2026)
by: Wooley, Trevor D.
Published: (2026)
The classifying element for quotients of Fermat curves
by: Duque-Rosero, Juanita, et al.
Published: (2023)
by: Duque-Rosero, Juanita, et al.
Published: (2023)
Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
by: Miyazaki, Takafumi, et al.
Published: (2026)
by: Miyazaki, Takafumi, et al.
Published: (2026)
A multi-Frey approach to Fermat equations of signature $(r,r,p)$
by: Billerey, Nicolas, et al.
Published: (2017)
by: Billerey, Nicolas, et al.
Published: (2017)
Avoiding 3-Term Geometric Progressions in Hurwitz Quaternions
by: Asada, Megumi, et al.
Published: (2018)
by: Asada, Megumi, et al.
Published: (2018)
Counting rational points on smooth hypersurfaces with high degree
by: Verzobio, Matteo
Published: (2025)
by: Verzobio, Matteo
Published: (2025)
A Pair of Diophantine Equations and Fibonacci-Like Sequences
by: Chu, Hung Viet, et al.
Published: (2025)
by: Chu, Hung Viet, et al.
Published: (2025)
Problems Regarding a Pair of Diophantine Equations
by: Chu, Hung Viet, et al.
Published: (2025)
by: Chu, Hung Viet, et al.
Published: (2025)
On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)
by: Sahoo, Satyabrat
Published: (2024)
Iwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number Fields
by: Deng, Li-Tong, et al.
Published: (2026)
by: Deng, Li-Tong, et al.
Published: (2026)
Explicit isogenies of prime degree over number fields
by: Banwait, Barinder S., et al.
Published: (2022)
by: Banwait, Barinder S., et al.
Published: (2022)
Cyclic isogenies of elliptic curves over fixed quadratic fields
by: Banwait, Barinder S., et al.
Published: (2022)
by: Banwait, Barinder S., et al.
Published: (2022)
Similar Items
-
Arithmetic regularity as an alternative to transference
by: Chow, Sam, et al.
Published: (2026) -
Counting Lattices with Local Hecke Series
by: Bhowmik, Gautami, et al.
Published: (2025) -
Enumerative Galois theory for number fields
by: Chow, Sam, et al.
Published: (2023) -
The lost proof of Fermat's last theorem
by: Ossicini, Andrea
Published: (2017) -
Incidence geometry and polynomial expansion over finite fields
by: Arala, Nuno, et al.
Published: (2024)