Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\)

DOI10.1016/J.JNT.2012.05.027zbMath1318.11102OpenAlexW2503222877MaRDI QIDQ452392

Giuseppe Molteni, Jerzy Kaczorowski

Publication date: 21 September 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.027

zbMATH Keywords

exponential sumsextremal values

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Elementary number theory (11A99)

Related Items (1)

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Cites Work

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• Cancellation in a short exponential sum
• Primes and powers of 2
• A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\)
• The number of powers of 2 in a representation of large even integers. I
• Exponential sum estimates in finite commutative rings and applications
• Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors
• A Gauss sum estimate in arbitrary finite fields
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
• ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY

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