Number Theory ith an Emphasis on the Markoff Spectrum [Paperback]

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.The Hurwitz equations, Arthur Baragar; best approximation of real numbers by pisot numbers, David W. Boyd; some metric properties of sum sets, Gavin Brown and Qing-He Yin; computing endpoints in Markoff spectra, Richard T. Burnby; badly approximable systems and inhomogeneous approximation over number fields, Edward B. Burger; u-numbers and t-numbers - some elementary transcendence and algebraic independence results, Deanna M. Caveny; the arithmetic of well-approximated numbers, Deanna Caveny and Robert Tubbs; some remarks on triangular numbers, Jasbir Chahal and Harry D'Souza; Markoff geodesics in matrix theory, Harvey Cohn; single self-intersection geodesics and the Markoff spectrum, David J. Crisp and William Moran; an inhomogeneous hall's ray, T.W. Cusick, et al; an exponential sum over primes, D.A. Goldston; geometric Markoff theory and a theorem of millington, Andrew Haas; on the fourier coefficients of the modular invariant, (j-12 1/2)3, Joseph Lehner; on zeta functions associated to the product of two Eisenstein series, Bradford F. Lyon; a sampler of recent developments in the distribution of sequences, G. Myerson; the simplest inverse problelcw