Even though this domain seems to be classic, because of the last two decades
of remarkable progress in computational technique, many open problems in Diou0002phantine Analysis made a vigorous comeback with the hope that this increased
power in computation will shade new light on them. The distinctive dynamic of
Diophantine Analysis is expressively reflected in the well-known review journals:
“Mathematical Reviews” (USA) and “Zentralblatt für Matematik” (now zbMATH)
(Germany), the following AMS Subject Classification 2000 being designated to
it: 11Dxx (Diophantine equations), 11D09 (Quadratic bilinear equations), 11A55
(Continued fractions), 11J70 (Continued fractions and generalizations), 11Y65
(Continued fraction), 11B37 (Recurrences), 11B39 (Fibonacci and Lucas numbers
and polynomials and generalizations), 11R27 (Units and factorization). While in
1912 a first monograph 224 dedicated to this subject synthesized the important
results known by then, a variety of papers and doctoral theses in Diophantine Analy