Results 91 to 100 of about 81,722 (194)

Exact forms of entire solutions for Fermat type partial differential equations in C^2

open access: yesElectronic Journal of Differential Equations, 2021
Yu Xian Chen, Hong Yan Xu
doaj  

P A THE SOLUTION OF FERMAT EQUATION IN THE RATIONAL POINTS OF THE UNITARY CIRCUMFERENCE

open access: yes, 2014
: In this work we resolve the Fermat equation over rational points in the unitary circumference. For this we take a point (p 0 , q 0 ) in the unitary circumference x 2 + y 2 = 1, where p 0 , q 0 ∈ Q or q 0 ∈ I and p 0 ∈ I.
Cerna Maguiña, B Martin
core  

REVISITING THE FERMAT-TYPE EQUATION x^{13} + y^{13} = 3 z^{7}

open access: yes
We solve the Fermat-type equationx 13 + y 13 = 3z 7 , gcd(x, y, z) = 1 combining a unit sieve, the multi-Frey modular method, level raising, computations of systems of eigenvalues modulo 7 over a totally real field, and results for reducibility of ...
Dieulefait, Luis   +4 more
core  

All meromorphic solutions of Fermat-type functional equations

open access: yesNagoya Mathematical Journal
Abstract In this article, by utilizing the properties of elliptic functions, we characterize the meromorphic solutions of Fermat-type functional equations $f(z)^{n}+f(L(z))^{m}=1$
openaire   +2 more sources

High-Pressure and High-Temperature Chemistry of Phosphorus and Nitrogen: Synthesis and Characterization of α- and γ-P3N5. [PDF]

open access: yesInorg Chem, 2022
Ceppatelli M   +10 more
europepmc   +1 more source

Solving Fermat-type equations over quadratic fields

open access: yesInternational Journal of Number Theory
This paper applies the modular approach to obtain effectively computable bounds for Fermat-type equations over number fields, while also discussing the differences and obstructions that arise when considering such equations over totally real versus totally complex number fields. We use these techniques to study the generalized Fermat equation [Formula:
openaire   +2 more sources

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