Geodesic
On some trigonometric sums related to the Airy function
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 2, Tome 479 (2019), pp. 137-145

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Complex functions over finite fields and analog to the Airy differential equation are considered. Solution is given in terms of some cubic trigonometric sums. 
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     author = {N. V. Proskurin},
     title = {On some trigonometric sums related to the {Airy} function},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {137--145},
     publisher = {mathdoc},
     volume = {479},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_479_a6/}
}
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N. V. Proskurin. On some trigonometric sums related to the Airy function. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 2, Tome 479 (2019), pp. 137-145. http://geodesic.mathdoc.fr/item/ZNSL_2019_479_a6/