On the size of the Gelfond exponent
type: Item
instance of: scholarly article
title: On the size of the Gelfond exponent
zbMATH Open document ID: 1209.11008
published in: Journal of Number Theory
publication date: 2010-04-08T00:00:00Z
review text: The author uses an explicit formula of Shevelev on the best possible exponent in the error term of an asymptotic formula of Gelfond for the number of integers in a given residue class and a given parity on the sum of its binary digits and proves unconditionally that this exponent is small for the majority of all primes. This improves on the work of Shevelev who proved, among other things, a similar result by assuming Artin's conjecture on primitive roots.
reviewed by: Emre Alkan
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11T23
zbMATH DE Number: 5690738
author: Igor E. Shparlinski
MaRDI profile type: Publication
full work available at URL: j.jnt.2009.09.005
OpenAlex ID: W2050189201
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DOI: 10.1016/J.JNT.2009.09.005
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description: scientific article; zbMATH DE number 5690738