## Algebraic Numbers and Fourier Analysis |

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### Contents

A REMARKABLE SET OF ALGEBRAIC INTEGERS | 1 |

A PROPERTY OF THE SET OF NUMBERS OF THE CLASS S | 13 |

APPLICATIONS TO THE THEORY OF POWER SERIES | 22 |

Copyright | |

5 other sections not shown

### Common terms and phrases

algebraic integer algebraic number analytic set arbitrarily small assume belongs boundary values bounded Cantor capacity zero Chapter choose CK(E CK(F closed set compact set condition conjugates consider Const construct converges to zero corresponding define denote denumerable Dirichlet integral domain exceptional set finite Dirichlet integral finite number fixed following theorem Fourier series Fourier-Stieltjes transform harmonic functions harmonic measure Hausdorff measure Hence implies inequality infinite irreducible Lebesgue Lemma limit point linear maximum principle mh(E Minkowski's theorem natural integer notations pole positive number power series problem proof of Theorem prove ratio of dissection rational function rational integers rational integral coefficients real number reciprocal polynomial result roots satisfies set function set of capacity set of multiplicity set of uniqueness sin2 singular spheres suppose symmetrical perfect set tends to zero trigonometric series uniformly distributed modulo unit circle unit mass