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On sum-product representation in \(\mathbb Z_q\)

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Publication:874823
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DOI10.4171/JEMS/62zbMath1175.11010MaRDI QIDQ874823

Mei-Chu Chang

Publication date: 10 April 2007

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_issue.php?issn=1435-9855&vol=8&iss=3



Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other combinatorial number theory (11B75)


Related Items (2)

Near optimal bounds in Freiman's theorem ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition



Cites Work

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  • A polynomial bound in Freiman's theorem.
  • A sum-product estimate in finite fields, and applications
  • Distance sets of well-distributed planar sets for polygonal norms
  • Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors
  • Bounds for multiplicative cosets over fields of prime order
  • Numbers having m Small mth Roots mod p
  • Mordell’s exponential sum estimate revisited
  • ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
  • Simulating independence


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