AbstractThis note is an observation that the LLL algorithm applied to prime powers can be used to find “good” examples for the ABC and Szpiro conjectures
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
BEAL'S CONJECTURE: If Ax +By = Cz, where A, B, C, x, y and z are positive integers and x, y and...
AbstractTextWe extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at supersingular...
In 2001, Stewart and Yu [1] proved that there exists effectively computable positive numbers c1 and ...
Note:This thesis examines the abc-conjecture, a conjectured diophantine inequality which makes a con...
International audienceThe abc conjecture is one of the main open problems in number theory. This pos...
We prove the abc-Conjecture. The proof is based on our paper [3] and our paper [4]
Following an idea of Rowland [Row] we give a conjectural way to gen-erate increasing sequences of pr...
Weakened forms of the ABC conjecture are defined in terms of the upper k’th root functions. These we...
We state well-known abc-conjecture of Masser-Oesterlé and its explicit version, popularly known as t...
Abstract. The conjecture of Masser-Oesterlé, popularly known as abc-conjecture have many consequenc...
This collection of papers brings together several articles regarding primes, submitted b
This paper is the first in a series of four devoted to the abc conjecture, the Rie-mann Hypothesis, ...
International audienceThe purpose of this paper is to survey in a unified setting some of the result...
In this short note we confirm the relation between the generalized abc-conjecture and the p-rational...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
BEAL'S CONJECTURE: If Ax +By = Cz, where A, B, C, x, y and z are positive integers and x, y and...
AbstractTextWe extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at supersingular...
In 2001, Stewart and Yu [1] proved that there exists effectively computable positive numbers c1 and ...
Note:This thesis examines the abc-conjecture, a conjectured diophantine inequality which makes a con...
International audienceThe abc conjecture is one of the main open problems in number theory. This pos...
We prove the abc-Conjecture. The proof is based on our paper [3] and our paper [4]
Following an idea of Rowland [Row] we give a conjectural way to gen-erate increasing sequences of pr...
Weakened forms of the ABC conjecture are defined in terms of the upper k’th root functions. These we...
We state well-known abc-conjecture of Masser-Oesterlé and its explicit version, popularly known as t...
Abstract. The conjecture of Masser-Oesterlé, popularly known as abc-conjecture have many consequenc...
This collection of papers brings together several articles regarding primes, submitted b
This paper is the first in a series of four devoted to the abc conjecture, the Rie-mann Hypothesis, ...
International audienceThe purpose of this paper is to survey in a unified setting some of the result...
In this short note we confirm the relation between the generalized abc-conjecture and the p-rational...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
BEAL'S CONJECTURE: If Ax +By = Cz, where A, B, C, x, y and z are positive integers and x, y and...
AbstractTextWe extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at supersingular...