## 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

2cos algebraic integer algebraic number field approximate solution Bernoulli polynomial bounded variation Cc(a Cc(o Chap class of functions congruence 9.3 constant implied Ct(m cyclotomic field Diophantine approximation discrepancy D(n discrepancy Theorem domain eigenvalue error term exists an integral Fibonacci sequence follows by Lemma Fredholm equation glp set Hlawka holds Hua Loo Keng independent units induction inequality integers defined integral vector Keng and Wang lemma follows lemma is proved llmlKN monotonic functions N. M. Korobov N. S. Bahvalov number of solutions number theory numerical analysis numerical integration obtain parallelepipeds periodic function positive integer Proo proof of Theorem PV number quadrature formula given rational integers rational numbers real algebraic number real number recurrence relation right hand side set of independent set of integers set of points simultaneous Diophantine approximation Suppose Theorem 7.9 theorem follows theorem is proved Wang Yuan x)dx