Number Theory with an Emphasis on the Markoff Spectrum (eBook, PDF)

Redaktion: Pollington, Andrew

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 352
• Erscheinungstermin: 5. Oktober 2017
• Englisch
• ISBN-13: 9781351427760
• Artikelnr.: 49985046

Autorenporträt

Andrew Pollington

Inhaltsangabe

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.