## Applications of number theory to numerical analysis |

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### Contents

preface V | 1 |

Recurrence Relations and Rational Approximation | 28 |

Uniform Distribution | 48 |

Copyright | |

9 other sections not shown

### Other editions - View all

Applications of number theory to numerical analysis Loo Keng Hua,Luogeng Hua,Yüan Wang Snippet view - 1981 |

Applications of number theory to numerical analysis Lo-keng Hua,Luogeng Hua,Yüan Wang Snippet view - 1981 |

### Common terms and phrases

algebraic integer algebraic number field approximate solution Bernoulli polynomial bounded variation Cc(a class of functions congruence congruence 9.3 constant implied cyclotomic field denote the number Diophantine approximation discrepancy D(n domain eigenvalue equation of second error term exists an integral Fibonacci sequence ﬁe follows by Lemma Fredholm equation given by Theorem glp set Hlawka holds Hua Loo Keng independent units induction integers k satisfying integral equation integral vector Keng and Wang lattice point mod lemma follows lemma is proved llmll monotonic functions N. M. Korobov N. S. Bahvalov need Lemma number of solutions numerical analysis numerical integration obtain parallelepipeds periodic function positive integer proof of Theorem PV number Q k Q quadrature formula given real algebraic number real number recurrence relation right hand side set of independent set of points Suppose that f Theorem 7.9 theorem follows theorem is proved