 About 2,980 results  books.google.com Such estimates have many applications to various diophantine problems,
including an effective improvement on Liouville's Theorem 1.1 due to Fel'dman (
improving an earlier result of Baker  see § 10.4.1): • For each algebraic number
a of ... 

 books.google.com Some of these commensurabilities are examples of modelocking phenomena;
such phenomena are discussed in §6. ... Analyzing the effect of "resonances" is
the problem of "small divisors," which depends on Diophantine approximation ... 

 books.google.com The results listed above are proved by noneffective methods (see Diophantiiic
approximation, problems of effective). ... The latter work has profound
consequences in the theory of exponential Diophantine equations (Sunit
equations), see ... 

 books.google.com problem. In addition to the mentioned quotient conjecture solved by van der
Poorten, Pisot formulated a “dthroot ... e. g., [ShSt] and [ShT]); they used Baker's
method, obtaining, whenever the arguments applied, effective conclusionsl
However ... 

 books.google.com Guillaume Hanrot Abstract The purpose of this paper is to survey in a unified
setting some of the results in diophantine approximation that the LLL algorithm
can make effective in an efficient way. We mostly study the problems of finding
good ... 

 books.google.com On an analogue of Littlewood's Diophantine approximation problem, Michigan
Math. ... On some Diophantine inequalities involving the exponential function,
Canadian J. Math. ... Effective methods in Diophantine problems I, II, Proc.
Symposia ... 

 books.google.com Techniques. Thus far we have considered diophantine approximation problems
where we are trying to find good approximations to a single irrational number a.
This can be expressed as determining integers p and q that minimize lira  pl. 

 books.google.com Nevertheless, I personally would expect a wide class of diophantine problems to
be effectively solvable (e.g. those on ... diophantine approximations (the weak
version, not Roth's version), and its application to equations of type f(x, y) = m ... 

 books.google.com He gives a general survey of the most important problems, methods and results,
involving also Sunit equations and ... he proceeds with the sophisticated results
by A. Baker, which yield fundamental applications to effective diophantine ... 

 books.google.com Diophantine, Computational and Algebraic Aspects. Proceedings of ... A.,
Effective methods in Diophantine problems. In: Proc. of Symp. in ... [7] — Some
problems of Diophantine Approximation in the theory of the Riemann zeta
function. Proc. 

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