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 Uspekhi Mat. Nauk, 1982, Volume 37, Issue 4(226), Pages 169–170 (Mi umn3847)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Commuting ordinary differential operators of rank 3 corresponding to an elliptic curve

O. I. Mokhov

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English version:
Russian Mathematical Surveys, 1982, 37:4, 129–130

Bibliographic databases:

MSC: 47E05, 47B47, 14H52

Citation: O. I. Mokhov, “Commuting ordinary differential operators of rank 3 corresponding to an elliptic curve”, Uspekhi Mat. Nauk, 37:4(226) (1982), 169–170; Russian Math. Surveys, 37:4 (1982), 129–130

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. P. G. Grinevich, “Vector rank of commuting matrix differential operators. Proof of S. P. Novikov's criterion”, Math. USSR-Izv., 28:3 (1987), 445–465
2. O. I. Mokhov, “Commuting differential operators of rank 3, and nonlinear differential equations”, Math. USSR-Izv., 35:3 (1990), 629–655
3. I.Ya. Dorfman, F.W. Nijhoff, “On a (2+1)-dimensional version of the Krichever-Novikov equation”, Physics Letters A, 157:2-3 (1991), 107
4. I. A. Taimanov, “Secants of Abelian varieties, theta functions, and soliton equations”, Russian Math. Surveys, 52:1 (1997), 147–218
5. O. I. Mokhov, “On Commutative Subalgebras of the Weyl Algebra Related to Commuting Operators of Arbitrary Rank and Genus”, Math. Notes, 94:2 (2013), 298–300
6. N Delice, F.W. Nijhoff, S Yoo-Kong, “On elliptic Lax systems on the lattice and a compound theorem for hyperdeterminants”, J. Phys. A: Math. Theor, 48:3 (2015), 035206
7. V. S. Oganesyan, “Commuting differential operators of rank 2 and arbitrary genus $g$ with polynomial coefficients”, Russian Math. Surveys, 70:1 (2015), 165–167
8. V. S. Oganesyan, “Common Eigenfunctions of Commuting Differential Operators of Rank $2$”, Math. Notes, 99:2 (2016), 308–311
9. V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Polynomial Coefficients”, Funct. Anal. Appl., 50:1 (2016), 54–61
10. V. S. Oganesyan, “On operators of the form $\partial_x^4+u(x)$ from a pair of commuting differential operators of rank 2 and genus $g$”, Russian Math. Surveys, 71:3 (2016), 591–593
11. A. E. Mironov, “Self-adjoint commuting differential operators of rank two”, Russian Math. Surveys, 71:4 (2016), 751–779
12. Oganesyan V., “Explicit Characterization of Some Commuting Differential Operators of Rank 2”, Int. Math. Res. Notices, 2017, no. 6, 1623–1640
13. V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Rational Coefficients”, Funct. Anal. Appl., 52:3 (2018), 203–213
14. V. S. Oganesyan, “Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2”, Siberian Math. J., 59:1 (2018), 102–106
15. V. S. Oganesyan, “The AKNS hierarchy and finite-gap Schrödinger potentials”, Theoret. and Math. Phys., 196:1 (2018), 983–995
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