Výsledky vyhledávání - "N. V. Proskurin"

On Some Trigonometric Sums Related to the Airy Function

Autor: N. V. Proskurin

Publikováno v: Journal of Mathematical Sciences. 249:89-94

Complex functions over finite fields and an analog of the Airy differential equation are considered. Its solution in terms of some cubic trigonometric sums is provided.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::336087f6d0f08675b648c0b273bd8f1a
https://doi.org/10.1007/s10958-020-04922-x

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Vibrations of a String in the Context of Finite Fields

Autor: N. V. Proskurin

Publikováno v: Journal of Mathematical Sciences. 242:560-567

The string wave equation (i.e., the one-dimentional wave equation) is considered in the context of complex functions over finite fields. Analogs of the classical d’Alembert formulas over finite fields are obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::339fb975bbb95c3b63986e5f2deed816
https://doi.org/10.1007/s10958-019-04495-4

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On Some Special Functions over Finite Fields

Autor: N. V. Proskurin

Publikováno v: Journal of Mathematical Sciences. 240:688-691

Finite fields analogs of the classical error function and incomplete gamma function are defined as complex functions over finite fields.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fa17e1e40a256329dc8ce0d9aed00250
https://doi.org/10.1007/s10958-019-04385-9

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On Cubic Exponential Sums and Gauss Sums

Autor: N. V. Proskurin

Publikováno v: Journal of Mathematical Sciences. 234:697-700

Let eq be a nontrivial additive character of a finite field 𝔽q of order q ≡ 1(mod 3) and let ψ be a cubic multiplicative character of 𝔽q, ψ(0) = 0. Consider the cubic Gauss sum and the cubic exponential sum $$ G\left(\psi \right)=\sum \limi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::92f2459287f383d9a27d4ed441a5a24d
https://doi.org/10.1007/s10958-018-4037-0

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Zeta Function of the Category of Finite Abelian Groups

Autor: N. V. Proskurin

Publikováno v: Journal of Mathematical Sciences. 225:991-993

The zeta function associated with the category of finite Abelian groups is defined and studied. This zeta function is expressed in terms of the Riemann zeta function.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4556db7ec46b3c7279cad0ab1062a35
https://doi.org/10.1007/s10958-017-3510-5

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