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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 479, Pages 137–145 (Mi znsl6755)  
On some trigonometric sums related to the Airy function

N. V. Proskurin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: Complex functions over finite fields and analog to the Airy differential equation are considered. Solution is given in terms of some cubic trigonometric sums.
Key words and phrases: finite fields, cubic trigonometric sums.
Received: 27.06.2019
Document Type: Article
UDC: 511, 512.624
Language: Russian
Citation: N. V. Proskurin, “On some trigonometric sums related to the Airy function”, Algebra and number theory. Part 2, Zap. Nauchn. Sem. POMI, 479, POMI, St. Petersburg, 2019, 137–145
Citation in format AMSBIB
\Bibitem{Pro19}
\by N.~V.~Proskurin
\paper On some trigonometric sums related to the Airy function
\inbook Algebra and number theory. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 479
\pages 137--145
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6755}
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  • https://www.mathnet.ru/eng/znsl/v479/p137
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