Results 121 to 130 of about 92,931 (194)

One hundred years of complex dynamics. [PDF]

Proc Math Phys Eng Sci, 2016
Rees M.
europepmc   +1 more source

On some applications of diophantine approximations. [PDF]

Proc Natl Acad Sci U S A, 1984
Chudnovsky GV.
europepmc   +1 more source

Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]

Living Rev Relativ, 2008
Henneaux M, Persson D, Spindel P.
europepmc   +1 more source

Rational approximations to linear forms of exponentials and binomials. [PDF]

Proc Natl Acad Sci U S A, 1983
Chudnovsky GV.
europepmc   +1 more source

Some exponential Diophantine equations

, 1993
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

On Some Exponential Diophantine Equations

Monatshefte Fur Mathematik, 2001
Let \(D_1,D_2\) be coprime positive integers, and let \(h\) denote the class number of the quadratic field \(\mathbb{Q} (\sqrt{-D_1D_2})\). In this paper, using a deep theorem concerning the existence of primitive divisors of Lucas and Lehmer numbers, the authors completely determine all solutions \((x,y,n)\) of the generalized Ramanujan-Nagell ...
Yann Bugeaud, Bugeaud Yann
exaly   +2 more sources

An exponential Diophantine equation on triangular numbers

Mathematica Applicanda, 2023
Summary: Looking to the two remarkable identities concerning triangular numbers \(T_{n + 1} - T_{n} = n + 1\) and \(T_{n + 1}^{2} - T_{n}^{2} = (n + 1)^{3}\), we can extend these equations to the exponential Diophantine equation \(T_{n + 1}^{x} - T_{n}^{x} = (n + 1)^{y}\) for some positive integers \(x, y\).
Abdelkader Hamtat
semanticscholar   +2 more sources