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…mehr
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 problems in additive number theory Melvyn B. Nathanson; sum sets and u-numbers Andrew D. Pollington; ergodic theory of complex continued fractions Asmus L. Schmidt; remarks on the rosen l-continued fractions Thomas A. Schmidt; continued fractions and congruence subgroup geodesics Mark Sheingorn; the tensor emptiness of certain lattice subsets arising from the Hardy-Littlewood circle methods Brent Smith; refinements of the Erdos-Turan inequality Jeffrey D. Vaaler; Schneider's continued fraction A.J. van der Poorten; on the eigenvalues of Redheffer's matrix I R.C. Vaughan; maximal fuchsian subgroups of extended bianchi groups L. Ya Vulakh; on cuspidal eigenforms constructed from theta series Lynne H. Walling; a note on symmetric diagnosal equations Trevor D. Wooley.
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 problems in additive number theory Melvyn B. Nathanson; sum sets and u-numbers Andrew D. Pollington; ergodic theory of complex continued fractions Asmus L. Schmidt; remarks on the rosen l-continued fractions Thomas A. Schmidt; continued fractions and congruence subgroup geodesics Mark Sheingorn; the tensor emptiness of certain lattice subsets arising from the Hardy-Littlewood circle methods Brent Smith; refinements of the Erdos-Turan inequality Jeffrey D. Vaaler; Schneider's continued fraction A.J. van der Poorten; on the eigenvalues of Redheffer's matrix I R.C. Vaughan; maximal fuchsian subgroups of extended bianchi groups L. Ya Vulakh; on cuspidal eigenforms constructed from theta series Lynne H. Walling; a note on symmetric diagnosal equations Trevor D. Wooley.
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