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Article
The Spectrum of a Perturbed Operator Associated with a Hyperbolic Toral Authomorphism
In this paper, we consider a Markov operator (i.e., a contraction preserving the subspace of constants and the nonnegativity of functions) in the L 2 space on the n-dimensional torus that is a spe...
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Article
Decomposability of polymorphisms generated by an action of two finite groups
In this paper, we consider problems related to the decomposability of multivalued measure-preserving transformations (i.e., polymorphisms) generated by an action of two finite groups on a Lebesgue space. We gi...
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Article
Zagier's conjecture on L(E,2)
In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups K 2(E) and K ...
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Article
Supersymmetric elliptic and modular functions
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Article
Supersymmetric elliptic curves
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Article
One conservative extension of formal mathematic analysis with a scheme of dependent choice
This paper studies an extension of classical analysis, the language of which is obtained by adding to the language of analysis a two-place predicate symbol ρ. To the axioms of this extension, in addition to al...