Number Theory Carbondale 1979

Table of Contents

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   Book Overview
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   Chapter 1 On certain irrational values of the logarithm
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   Chapter 2 Recent results on fractional parts of polynomials
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   Chapter 3 On the development of Gelfond's method
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   Chapter 4 Transcendental numbers
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   Chapter 5 Diophantine equations over ℂ(t) and complex multiplication
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   Chapter 6 Abhyankar's lemma and the class group
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   Chapter 7 Systems of distinct representatives and minimal bases in additive number theory
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   Chapter 8 Conjectures on elliptic curves over quadratic fields
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    Chapter 9 Ultrafilters and combinatorial number theory
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    Chapter 10 Some results related to minimal discriminants
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    Chapter 11 Cyclic cubic fields that contain an integer of given index
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    Chapter 12 Unique and almost unique factorization
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    Chapter 13 Hecke — Weil — Jacquet — Langlands theorem revisited
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    Chapter 14 Where are number fields with small class number?
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    Chapter 15 Kunneth formula for L-functions
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    Chapter 16 The Hausdorff dimension of a set of non-normal well approximable numbers
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    Chapter 17 A combinatorial problem in additive number theory
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    Chapter 18 The number of bits in a product of odd integers
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    Chapter 19 Prime discriminants in real quadratic fields of narrow class number one
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    Chapter 20 Additive h-bases for n
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    Chapter 21 A running time analysis of Brillhart's continued fraction factoring method