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Anatomy of Integers

About this Title

Jean-Marie De Koninck, Université Laval, Québec, QC, Canada, Andrew Granville, Université de Montréal, Montréal, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, México, Editors

Publication: CRM Proceedings and Lecture Notes
Publication Year: 2008; Volume 46
ISBNs: 978-0-8218-4406-9 (print); 978-1-4704-3960-6 (online)
DOI: https://doi.org/10.1090/crmp/046
MathSciNet review: MR2435291
MSC: Primary 11-06; Secondary 11N25, 11N36, 11N60

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• Ternary quadratic forms, and sums of three squares with restricted variables
• Entiers ayant exactement $r$ diviseurs dans un intervalle donné
• On the proportion of numbers coprime to a given integer
• Integers with a divisor in ${(}y,2y{]}$
• Power-free values, repulsion between points, differing beliefs and the existence of error
• Anatomy of integers and cyclotomic polynomials
• Parité des valeurs de la fonction de partition $p(n)$ et anatomie des entiers
• The distribution of smooth numbers in arithmetic progressions
• Moyennes de certaines fonctions multiplicatives sur les entiers friables, 4
• Uniform distribution of zeros of Dirichlet series
• On primes represented by quadratic polynomials
• Descartes numbers
• A combinatorial method for developing Lucas sequence identities
• On the difference of arithmetic functions at consecutive arguments
• Pretentious multiplicative functions and an inequality for the zeta-function
• On the distribution of $\omega (n)$
• The Erdős–Kac theorem and its generalizations
• On a conjecture of Montgomery-Vaughan on extreme values of automorphic $L$-functions at 1
• The Möbius function in short intervals
• An explicit approach to hypothesis H for polynomials over a finite field
• On prime factors of integers which are sums or shifted products
• Simultaneous approximation of reals by values of arithmetic functions

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