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Numbers with small prime factors, and the least $k$th power non-residue

About this Title

Karl K. Norton

Publication: Memoirs of the American Mathematical Society
Publication Year: 1971; Number 106
ISBNs: 978-0-8218-1806-0 (print); 978-0-8218-9896-3 (online)
DOI: https://doi.org/10.1090/memo/0106
MathSciNet review: 0286739

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Notation
  • 3. Previous work on $\Psi$, $\Psi _n$, and $B_{\ell }$
  • 4. Estimation of $B_{\ell }(n, x, y)$
  • 5. Estimation of $\Psi _n(x, y)$
  • 6. $\mathcal {O}$-estimates for $g_1(n, k)$
  • 7. Specific estimates for $g_1(n, k)$
  • 8. A specific estimate for $\omega (n)$