The Mathematics of Paul Erdös I

Table of Contents

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   Book Overview
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   Chapter 1 Paul Erdős — Life and Work
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   Chapter 2 Introduction
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   Chapter 3 Some of My Favorite Problems and Results
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   Chapter 4 Encounters with Paul Erdős
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   Chapter 5 Did Erdős Save Western Civilization?
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   Chapter 6 Integers Uniquely Represented by Certain Ternary Forms
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   Chapter 7 On Cubic Graphs of Girth at Least Five
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   Chapter 8 Introduction
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    Chapter 9 Classical Results on Primitive and Recent Results on Cross-Primitive Sequences
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    Chapter 10 Sur La Non-Dérivabilité de Fonctions Périodiques Associées à Certaines Formules Sommatoires
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    Chapter 11 On Additive Representation Functions
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    Chapter 12 Arithmetical Properties of Polynomials
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    Chapter 13 Cross-Disjoint Pairs of Clouds in the Interval Lattice
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    Chapter 14 Dense Difference Sets and their Combinatorial Structure
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    Chapter 15 On Primes Recognizable in Deterministic Polynomial Time
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    Chapter 16 Ballot Numbers, Alternating Products, and the Erdős-Heilbronn Conjecture
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    Chapter 17 Integer Sets Containing no Solution to x + y = 3z
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    Chapter 18 On Landau’s Function g ( n )
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    Chapter 19 On Divisibility Properties of Sequences of Integers
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    Chapter 20 Some Methods of Erdôs Applied to Finite Arithmetic Progressions
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    Chapter 21 1105: First Steps in a Mysterious Quest
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    Chapter 22 Introduction
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    Chapter 23 Games, Randomness and Algorithms
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    Chapter 24 The Origins of the Theory of Random Graphs
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    Chapter 25 The Erdôs Existence Argument
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    Chapter 26 On Some Hypergraph Problems of Paul Erdős and the Asymptotics of Matchings, Covers and Colorings
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    Chapter 27 How Abelian is a Finite Group?
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    Chapter 28 On Small Size Approximation Models
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    Chapter 29 An Upper Bound for a Communication Game Related to Time-Space Tradeoffs