Table of contents

Volume 65

Number 3, September 2010

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Communications of the Moscow Mathematical Society

577
A note on non-free isometric immersions

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https://doi.org/10.1070/RM2010v065n03ABEH004686
580
2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data

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View article, 2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data PDF, 2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data
https://doi.org/10.1070/RM2010v065n03ABEH004685
583
Singularities of the transitivity zone of surfaces with boundaries in 

View article, Singularities of the transitivity zone of surfaces with boundaries in PDF, Singularities of the transitivity zone of surfaces with boundaries in
https://doi.org/10.1070/RM2010v065n03ABEH004687
586
Refinement of the upper bounds of the constants in Lyapunov's theorem

View article, Refinement of the upper bounds of the constants in Lyapunov's theorem PDF, Refinement of the upper bounds of the constants in Lyapunov's theorem
https://doi.org/10.1070/RM2010v065n03ABEH004688
589
Automorphic forms on symmetric domains of type IV

View article, Automorphic forms on symmetric domains of type IV PDF, Automorphic forms on symmetric domains of type IV
https://doi.org/10.1070/RM2010v065n03ABEH004684
591
Asymptotic behaviour at infinity of the admissible growth of the quasi-conformality coefficient and the invertibility of contact immersions of the Heisenberg group

View article, Asymptotic behaviour at infinity of the admissible growth of the quasi-conformality coefficient and the invertibility of contact immersions of the Heisenberg group PDF, Asymptotic behaviour at infinity of the admissible growth of the quasi-conformality coefficient and the invertibility of contact immersions of the Heisenberg group
https://doi.org/10.1070/RM2010v065n03ABEH004683

Mathematical life

593
Vladimir Petrovich Platonov (on his 70th birthday)

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View article, Vladimir Petrovich Platonov (on his 70th birthday) PDF, Vladimir Petrovich Platonov (on his 70th birthday)
https://doi.org/10.1070/RM2010v065n03ABEH004689
397
In memory of Vladimir Igorevich Arnold
View article, In memory of Vladimir Igorevich Arnold PDF, In memory of Vladimir Igorevich Arnold
https://doi.org/10.1070/RM2010v065n03ABEH004678
399
Integration with respect to the Euler characteristic and its applications

View article, Integration with respect to the Euler characteristic and its applications PDF, Integration with respect to the Euler characteristic and its applications

The notion of integration with respect to the Euler characteristic and its generalizations are discussed: integration over the infinite-dimensional spaces of arcs and functions, motivic integration. The author describes applications of these notions to the computation of monodromy zeta functions, Poincaré series of multi-index filtrations, generating series of classes of certain moduli spaces, and so on.

Bibliography: 70 titles.

https://doi.org/10.1070/RM2010v065n03ABEH004679
433
Khintchine's singular Diophantine systems and their applications

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This paper is a survey of classical and recent methods in Diophantine approximation theory and its applications related to Khintchine's results on the existence of real numbers admitting extremely good approximations by rational numbers.

Bibliography: 145 titles.

https://doi.org/10.1070/RM2010v065n03ABEH004680
513
Fourier analysis in combinatorial number theory

View article, Fourier analysis in combinatorial number theory PDF, Fourier analysis in combinatorial number theory

In this survey applications of harmonic analysis to combinatorial number theory are considered. Discussion topics include classical problems of additive combinatorics, colouring problems, higher-order Fourier analysis, theorems about sets of large trigonometric sums, results on estimates for trigonometric sums over subgroups, and the connection between combinatorial and analytic number theory.

Bibliography: 162 titles.

https://doi.org/10.1070/RM2010v065n03ABEH004681
569
Mikhail Shlemovich Birman (obituary)

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View article, Mikhail Shlemovich Birman (obituary) PDF, Mikhail Shlemovich Birman (obituary)
https://doi.org/10.1070/RM2010v065n03ABEH004682