Number Theory with an Emphasis on the Markoff Spectrum

Presenting the proceedings of a recently held conference in Provo Utah this reference provides original research articles in several different areas of number theory highlighting the Markoff spectrum.;Detailing the integration of geometric algebraic analytic and arithmetic ideas Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of diophantine approximation; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the lower part of the Markoff spectrum.;Written by over 30 authorities in the field this book should be a useful resource for research mathematicians in harmonic analysis number theory algebra geometry and probability and graduate students in these disciplines.