On the size of the Gelfond exponent

DOI10.1016/j.jnt.2009.09.005zbMath1209.11008OpenAlexW2050189201MaRDI QIDQ963005

Igor E. Shparlinski

Publication date: 8 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.09.005

Mathematics Subject Classification ID

Exponential sums (11T23) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

On a conjecture of Dekking: the sum of digits of even numbers

Cites Work

• Sequences, discrepancies and applications
• Multilinear exponential sums in prime fields under optimal entropy condition on the sources
• Exact exponent in the remainder term of Gelfond's digit theorem in the binary case
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
• Sur les nombres qui ont des propriétés additives et multiplicatives données
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