Enviar artigo por via de e-mail Elementary Proof of an Estimate for Kloosterman Sums with Primes
- Autores: Korolev M.A.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 103, Nº 5-6 (2018)
- Páginas: 761-768
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150868
- DOI: https://doi.org/10.1134/S0001434618050085
- ID: 150868
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Resumo
A new elementary proof of an estimate for incomplete Kloosterman sums modulo a prime q is obtained. Along with Bourgain’s 2005 estimate of the double Kloosterman sum of a special form, it leads to an elementary derivation of an estimate for Kloosterman sums with primes for the case in which the length of the sum is of order q0.5+ε, where ε is an arbitrarily small fixed number.
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Sobre autores
M. Korolev
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: korolevma@mi.ras.ru
Rússia, Moscow
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