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A note on Burgess's estimate

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Publication:650288
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DOI10.1134/S000143461009004XzbMath1271.11085MaRDI QIDQ650288

Hugh L. Montgomery, Patrick Gallagher

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

character sumBurgess's estimateRademacher--Menchov devicereal character


Mathematics Subject Classification ID

Estimates on character sums (11L40)


Related Items (6)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ THE DISTRIBUTION OF THE MAXIMUM OF CHARACTER SUMS ⋮ Burgess bounds for multi-dimensional short mixed character sums ⋮ SMALL SOLUTIONS OF QUADRATIC CONGRUENCES, AND CHARACTER SUMS WITH BINARY QUADRATIC FORMS ⋮ On superorthogonality ⋮ Burgess’s Bounds for Character Sums



Cites Work

  • Unnamed Item
  • Equations over finite fields. An elementary approach
  • Estimates for Character Sums
  • Mean Values of Character Sums
  • The distribution of quadratic residues and non‐residues
  • On Character Sums and Primitive Roots†
  • On Character Sums and L-Series†
  • Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
  • A Theorem on Characters
  • Zur Methode von Stepanov
  • On Character Sums and L -Series. II
  • Exponential sums with multiplicative coefficients


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