29 research outputs found
On Baker type lower bounds for linear forms
A criterion is given for studying (explicit) Baker type lower bounds of
linear forms in numbers over the ring
of an imaginary quadratic field . This
work deals with the simultaneous auxiliary functions case
Explicit irrationality measures for continued fractions
AbstractLet Ï=[a0;a1,a2,âŠ], a0âN, anâZ+, nâZ+, be a simple continued fraction determined by an infinite integer sequence (an). We are interested in finding an effective irrationality measure as explicit as possible for the irrational number Ï. In particular, our interest is focused on sequences (an) with an upper bound at most (ank), where a>1 and k>0. In addition to our main target, arithmetic of continued fractions, we shall pay special attention to studying the nature of the inverse function z(y) of y(z)=zlogz