About 2,980 results
|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 ...
|Some of these commensurabilities are examples of mode-locking phenomena; |
such phenomena are discussed in §6. ... Analyzing the effect of "resonances" is
the problem of "small divisors," which depends on Diophantine approximation ...
|The results listed above are proved by non-effective methods (see Diophantiiic |
approximation, problems of effective). ... The latter work has profound
consequences in the theory of exponential Diophantine equations (S-unit
equations), see ...
|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
|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.
|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.
|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 ...
|He gives a general survey of the most important problems, methods and results, |
involving also S-unit equations and ... he proceeds with the sophisticated results
by A. Baker, which yield fundamental applications to effective diophantine ...
|Diophantine, Computational and Algebraic Aspects. Proceedings of ... A., |
Effective methods in Diophantine problems. In: Proc. of Symp. in ...  — Some
problems of Diophantine Approximation in the theory of the Riemann zeta
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