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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 511, 512.624

Received: 27.06.2019



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