SUM–PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OFγANDγ+γ−1IN FINITE FIELDS

DOI10.1017/S0004972711002887zbMath1273.11174MaRDI QIDQ2891979

Igor E. Shparlinski

Publication date: 18 June 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite fieldssum-product estimatesmultiplicative orders

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic combinatorics; higher degree uniformity (11B30)

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‘SUM-PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF AND IN FINITE FIELDS’ ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

Cites Work

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• MULTIPLICATIVE ORDER OF GAUSS PERIODS
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• On the multiplicative orders of \(\gamma\) and \(\gamma+\gamma^{-1}\) over finite fields