Results 71 to 80 of about 81,722 (194)
Parity Properties of Equations, Related to Fermat Last Theorem
, 2019 A possibility of elementary proof of Fermat Last Theorem (FLT) on the basis of parity considerations is considered. FLT was formulated by Fermat in 1637, and proved by A. Wiles in 1995. Here, a simpler approach is considered. The idea is to subdivide the
Shestopaloff Yuri K. +1 more
core +1 more source
An elementary proof of Fermat-Catalan conjecture.
, 2014 4 pages.We begin with Fermat-Catalan equation and solve ...
Ghannouchi, Jamel
core
A modular approach to Fermat equations of signature $(p,p,5)$ using Frey hyperelliptic curves
, 2022 In this paper we carry out the steps of Darmon's program for the generalized Fermat equation $$ x^p + y^p = z^5. $$ In particular, we develop the machinery necessary to prove an optimal bound on the exponent $p$ for solutions satisfying certain $2$-adic ...
Koutsianas, Angelos, Chen, Imin
core
Generalized Fermat equation: A survey of solved cases
Generalized Fermat equation (GFE) is the equation of the form axp+byq=czr, where a,b,c,p,q,r are positive integers.
Bogdan Grechuk (20341275) +1 more
core
An elementary proof of Fermat-Wiles theorem.
, 2014 We begin with Fermat equation and solve ...
Ghannouchi, Jamel
core
Micromixer with Fine-Tuned Mathematical Spiral Structures. [PDF]
ACS Omega, 2021 Yin B +5 more
europepmc +1 more source
A BPE model for the Burgers' equation [PDF]
We study the BPE (Brownian particle equation) model of the Burgers equation presented in the preceeding article [6]. More precisely, we are interested in establishing the existence and uniqueness properties of solutions using probabilistic techniques ...
Arturo Kohatsu, Shigeyoshi Ogawa
core
, 2020 Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation of the form 2 -Dye 2 =1 for a natural number D. If D is a perfect square, then pell equation can be rewritten as y).(x+√y) = 1.similarly, the trivial ...
R, RAMYA
core
The Fermat factorization method revisited [PDF]
, 2009 We consider the well known Fermat factorization method ({\it FFM}) when it is applied on a balanced RSA modulus $N=p\, q>0$, with primes $p$ and $q$ supposed of equal length.
Christophe GRENIER, Robert ERRA
core
, 1992 Based on the idea proposed by Hu [Scientia Sinica Series A XXX, 385-390 (1987)], a new type of boundary integral equation for plane problems of elasticity including rotational forces is derived and its boundary element formulation is presented ...
吴永礼 +2 more
core +1 more source