:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Author:	Kraus, Alain
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	https://arxiv.org/abs/2404.08922
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Revisiting the equation $x^2+y^3=z^p$
by: Freitas, Nuno, et al.
Published: (2025)

Bounded Representations by $x^2+y^2-z^2$
by: Chojecki, Przemyslaw
Published: (2026)

Counting Square-full Solutions to $x+y=z$
by: Heath-Brown, D. R.
Published: (2026)

Geometric Aspects to Diophantine Equations of the Form $x^2 + zxy + y^2 = M$ and $z$-Rings
by: Busenhart, Chris
Published: (2024)

On the Exponential Diophantine Equation $(a^n-1)(b^n-1)=x^2$
by: Noubissie, Armand, et al.
Published: (2025)

Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
by: Komatsu, Takao, et al.
Published: (2024)

Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$
by: Ke, Wen-Fong, et al.
Published: (2023)

On the almost universality of $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$
by: Wu, Hai-Liang, et al.
Published: (2018)

A new Andrews--Crandall-type identity and the number of integer solutions to $x^2+2y^2+2z^2=n$
by: Dospolova, Mariia, et al.
Published: (2023)

On the solutions of $x^p+y^p=2^r z^p$, $x^p+y^p=z^2$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2022)

Number of solutions to $a^x+b^y=c^z$ with $\gcd(a,b)>1$
by: Scott, Reese, et al.
Published: (2024)

On Higher-Power Moments of $ Δ_a(x) $ for $-1/2<a<0$
by: Cai, Yi, et al.
Published: (2025)

At most one solution to $a^x + b^y = c^z$ for some ranges of $a$, $b$, $c$
by: Styer, Robert
Published: (2024)

An easy proof of Ramanujan's famous congruences $p(5m+4)\equiv 0 \equiv τ(5m+5) \pmod 5$
by: Bal, Hartosh Singh, et al.
Published: (2025)

The Cohomological Sarnak-Xue Density Hypothesis for $SO_5$
by: Evra, Shai, et al.
Published: (2023)

On the Family of Elliptic Curves $y^2=x^3-5pqx$
by: Ghosh, Arkabrata
Published: (2025)

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

Mod-5 Galois images from abelian surfaces
by: Hennessey, Aidan, et al.
Published: (2025)

Additive Rigidity for $x$-Coordinates of Rational Points on Elliptic Curves
by: Choi, Seokhyun
Published: (2025)

Zhi-Wei Sun's 1-3-5 Conjecture and Variations
by: Machiavelo, António, et al.
Published: (2020)

Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$
by: Bachraoui, Mohamed El
Published: (2026)

On the uniform distribution of the zero ordinates of the $L-$function associated with $θ(z)^{-3}\,η(2z)^{12}$
by: Ribeiro, Pedro
Published: (2024)

Rank of the family of elliptic curves $y^2 = x^3- 5px$
by: Ghosh, Arkabrata
Published: (2025)

Two $2/5$-level mock theta conjecture-like identities
by: Konenkov, Stepan, et al.
Published: (2025)

The Localization Method Applied to $k$-Elongated Plane Partitions and Divisibility by 5
by: Banerjee, Koustav, et al.
Published: (2022)

On 2-color partitions where one of the color is multiples of $5^k$
by: C., Shivashankar, et al.
Published: (2025)

Symplectic criteria for elliptic curves, revisited
by: Kraus, Alain, et al.
Published: (2025)

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

The Mellin's transforms of $\dfrac{1}{\operatorname{arctanh} x}$ and $\dfrac{1}{\sqrt{1-x^2}\,\operatorname{arctanh} x}$
by: Waffo, Luc Ramsès Talla
Published: (2026)

On a property of the polynomials $x^n + (1-x)^n + a^n$
by: Karapetyan, Hayk
Published: (2025)

On the analytic rank of the twin prime elliptic curve $y^2=x(x-2)(x-p)$
by: Joshi, Kirti
Published: (2025)

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3z^7$
by: Billerey, Nicolas, et al.
Published: (2025)

On some ternary Diophantine equations of Signature $(p,p,k)$
by: Noubissie, Armand, et al.
Published: (2025)

The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$
by: Braun, Jeffrey
Published: (2026)

On the length of an arithmetic progression of the form ${3^x+2^y}$
by: Chen, Hongnan, et al.
Published: (2024)

On the Lebesgue-Nagell equation $x^2-2 = y^p$
by: Katz, Ethan, et al.
Published: (2025)

A generalization of Iseki Formula and the transformation of $θ_1(z, τ)$
by: Me'meh, Maher, et al.
Published: (2022)

Bounds for monochromatic solutions to $\{x+y,xy\}$
by: Green, Ben, et al.
Published: (2025)

The $a$-number of $y^n=x^m+x$ over finite fields
by: Mosallaei, Behrooz, et al.
Published: (2024)