St. Petersburg Mathematical Journal

Contents of Volume 17, Number 1
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On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians

E. Balslev and A. Venkov

St. Petersburg Math. J. 17 (2006), 1-37

DOI: https://doi.org/10.1090/S1061-0022-06-00891-0

Published electronically: January 19, 2006

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Nonlinear hyperbolic equations in surface theory: Integrable discretizations and approximation results

A. I. Bobenko, D. Matthes and Yu. B. Suris

St. Petersburg Math. J. 17 (2006), 39-61

DOI: https://doi.org/10.1090/S1061-0022-06-00892-2

Published electronically: January 19, 2006

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Functional integration and the two-point correlation function of the one-dimensional Bose gas in a harmonic potential

N. M. Bogoliubov and C. Malyshev

St. Petersburg Math. J. 17 (2006), 63-84

DOI: https://doi.org/10.1090/S1061-0022-06-00893-4

Published electronically: January 19, 2006

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A recursion formula for the correlation functions of an inhomogeneous XXX model

H. Boos, M. Jimbo, T. Miwa, F. Smirnov and Y. Takeyama

St. Petersburg Math. J. 17 (2006), 85-117

DOI: https://doi.org/10.1090/S1061-0022-06-00894-6

Published electronically: January 23, 2006

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Cayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ type

D. I. Gurevich, P. N. Pyatov and P. A. Saponov

St. Petersburg Math. J. 17 (2006), 119-135

DOI: https://doi.org/10.1090/S1061-0022-06-00895-8

Published electronically: January 19, 2006

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A kink in a funny place

R. Jackiw

St. Petersburg Math. J. 17 (2006), 137-142

DOI: https://doi.org/10.1090/S1061-0022-06-00896-X

Published electronically: January 19, 2006

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Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant

K. Hikami and A. N. Kirillov

St. Petersburg Math. J. 17 (2006), 143-156

DOI: https://doi.org/10.1090/S1061-0022-06-00897-1

Published electronically: January 19, 2006

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On selfadjoint extensions of some difference operator

R. M. Kashaev

St. Petersburg Math. J. 17 (2006), 157-167

DOI: https://doi.org/10.1090/S1061-0022-06-00898-3

Published electronically: January 19, 2006

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Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations

A. V. Kitaev

St. Petersburg Math. J. 17 (2006), 169-206

DOI: https://doi.org/10.1090/S1061-0022-06-00899-5

Published electronically: January 23, 2006

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Asymptotic bounds for spectral bands of periodic Schrödinger operators

M. M. Skriganov and A. V. Sobolev

St. Petersburg Math. J. 17 (2006), 207-216

DOI: https://doi.org/10.1090/S1061-0022-06-00900-9

Published electronically: January 19, 2006

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