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Ayano, Takanori

Co-Author Distance
Author ID: ayano.takanori Recent zbMATH articles by "Ayano, Takanori"
Published as: Ayano, Takanori; Ayano, T.
External Links: ORCID
Documents Indexed: 11 Publications since 2012, including 2 Additional arXiv Preprints
Reviewing Activity: 5 Reviews
Co-Authors: 2 Co-Authors with 6 Joint Publications
371 Co-Co-Authors

Co-Authors

5 single-authored
5 Bukhshtaber, Viktor Matveevich
1 Nakayashiki, Atsushi

Serials

4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Functional Analysis and its Applications
1 Journal of Statistical Planning and Inference
1 Osaka Journal of Mathematics
1 Chebyshevskiĭ Sbornik
all top 5

Fields

9 Algebraic geometry (14-XX)
5 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 Number theory (11-XX)
1 Statistics (62-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

8 Publications have been cited 20 times in 16 Documents Cited by ▼ Year ▼
On addition formulae for sigma functions of telescopic curves. Zbl 1273.14072
Ayano, Takanori; Nakayashiki, Atsushi
5
2013
Sigma functions for telescopic curves. Zbl 1328.14057
Ayano, Takanori
5
2014
Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011
Ayano, T.; Buchstaber, V. M.
3
2019
Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3. Zbl 1420.14104
Ayano, Takanori; Buchstaber, Victor M.
2
2019
On Jacobi inversion formulae for telescopic curves. Zbl 1348.14084
Ayano, Takanori
2
2016
Relationships between hyperelliptic functions of genus 2 and elliptic functions. Zbl 1481.14057
Ayano, Takanori; Buchstaber, Victor M.
1
2022
Rates of convergence for the \(k\)-nearest neighbor estimators with smoother regression functions. Zbl 1428.62149
Ayano, Takanori
1
2012
Analytical and number-theoretical properties of the two-dimensional sigma function. Zbl 1455.11037
Ayano, Takanori; Bukhshtaber, Viktor Matveevich
1
2020
Relationships between hyperelliptic functions of genus 2 and elliptic functions. Zbl 1481.14057
Ayano, Takanori; Buchstaber, Victor M.
1
2022
Analytical and number-theoretical properties of the two-dimensional sigma function. Zbl 1455.11037
Ayano, Takanori; Bukhshtaber, Viktor Matveevich
1
2020
Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011
Ayano, T.; Buchstaber, V. M.
3
2019
Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3. Zbl 1420.14104
Ayano, Takanori; Buchstaber, Victor M.
2
2019
On Jacobi inversion formulae for telescopic curves. Zbl 1348.14084
Ayano, Takanori
2
2016
Sigma functions for telescopic curves. Zbl 1328.14057
Ayano, Takanori
5
2014
On addition formulae for sigma functions of telescopic curves. Zbl 1273.14072
Ayano, Takanori; Nakayashiki, Atsushi
5
2013
Rates of convergence for the \(k\)-nearest neighbor estimators with smoother regression functions. Zbl 1428.62149
Ayano, Takanori
1
2012
all cited Publications top 5 cited Publications
all top 5

Cited by 20 Authors

5 Ayano, Takanori
4 Bukhshtaber, Viktor Matveevich
2 Enolskiĭ, Viktor Zelikovich
2 Matsutani, Shigeki
2 Nakayashiki, Atsushi
1 Bernatska, Julia
1 Bogatyrev, Andrei Borisovich
1 Eilbeck, John Chris
1 Eilers, Keno
1 Gao, Ben
1 Grigor’ev, O. A.
1 Kim, Ilmun
1 Komeda, Jiryo
1 Lee, Ann B.
1 Lei, Jing
1 Ônishi, Yoshihiro
1 Previato, Emma
1 Shor, Caleb Mckinley
1 Suzuki, Joe
1 Yin, Qinglian
all top 5

Cited in 12 Serials

3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Functional Analysis and its Applications
1 Communications in Mathematical Physics
1 Letters in Mathematical Physics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Transactions of the Moscow Mathematical Society
1 Journal of Integer Sequences
1 Communications in Nonlinear Science and Numerical Simulation
1 Boundary Value Problems
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Electronic Journal of Statistics
all top 5

Cited in 12 Fields

11 Algebraic geometry (14-XX)
4 Special functions (33-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Number theory (11-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Partial differential equations (35-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year