M. O. Avdeeva, V. A. Bykovskii, “Hyperelliptic system of sequences and functions”, Dal'nevost. Mat. Zh., 16:2 (2016), 115

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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 115–122 (Mi dvmg326)

This article is cited in 10 scientific papers (total in 10 papers)

Hyperelliptic system of sequences and functions

M. O. Avdeeva, V. A. Bykovskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Full-text PDF (103 kB) Citations (10)

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Abstract: The article offers a new method for constructing the pairs of functions which are holomorphic on the whole complex plane and satisfy functional equations such as the addition theorem for theta functions.

Key words: functional equations, theta functions, Weierstrass sigma-function, nonlinear sequences.

Funding agency	Grant number
Russian Foundation for Basic Research	14-01-00203 а
Far Eastern Branch of the Russian Academy of Sciences	15-I-4-047

Received: 12.09.2016

Bibliographic databases:

Document Type: Article

UDC: 511.21+517.965+517.547.582

MSC: Primary 11B37; Secondary 33E05

Language: Russian

Citation: M. O. Avdeeva, V. A. Bykovskii, “Hyperelliptic system of sequences and functions”, Dal'nevost. Mat. Zh., 16:2 (2016), 115–122

Citation in format AMSBIB

\Bibitem{AvdByk16}

\by M.~O.~Avdeeva, V.~A.~Bykovskii

\paper Hyperelliptic system of sequences and functions

\jour Dal'nevost. Mat. Zh.

\yr 2016

\vol 16

\issue 2

\pages 115--122

\mathnet{http://mi.mathnet.ru/dvmg326}

\elib{https://elibrary.ru/item.asp?id=27700996}

Linking options:

https://www.mathnet.ru/eng/dvmg326

https://www.mathnet.ru/eng/dvmg/v16/i2/p115

This publication is cited in the following 10 articles:

A. A. Illarionov, “Calculation of hyperelliptic systems of sequences of rank 4”, Izv. Math., 87:6 (2023), 1185–1209
M. A. Romanov, “O koeffitsientakh i nachalnykh usloviyakh posledovatelnosti Somos-6 ranga 3”, Dalnevost. matem. zhurn., 23:2 (2023), 246–251
A. A. Illarionov, “Existence of sequences satisfying bilinear type recurrence relations”, Problems Inform. Transmission, 59:2 (2023), 163–180
V. Ya. Prudnikov, “Zadacha o razdelenii peremennykh”, Dalnevost. matem. zhurn., 20:2 (2020), 227–233
M. O. Avdeeva, V. A. Bykovskii, “O podposledovatelnostyakh Somos-6 s chetnymi nomerami”, Dalnevost. matem. zhurn., 19:1 (2019), 3–5
A. A. Illarionov, “Hyperelliptic systems of sequences of rank 4”, Sb. Math., 210:9 (2019), 1259–1287
A. V. Ustinov, “An Elementary Approach to the Study of Somos Sequences”, Proc. Steklov Inst. Math., 305 (2019), 305–317
M. O. Avdeeva, “Posledovatelnosti Somos-6 ranga 3”, Dalnevost. matem. zhurn., 18:1 (2018), 3–8
N. V. Markova, “O range Somos-6”, Dalnevost. matem. zhurn., 18:1 (2018), 71–74
A. A. Illarionov, M. A. Romanov, “O svyazi mezhdu giperellipticheskimi sistemami posledovatelnostei i funktsii”, Dalnevost. matem. zhurn., 17:2 (2017), 210–220

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	448
Full-text PDF :	137
References:	75

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