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On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra boundary conditions imposed. It was conjectured earlier that these functions should be polynomials—the so

On the Differentiation in the Privalov Classesthe Bloch-Nevanlinna conjecture

Toda p-brane black holes and polynomials related to Lie algebras functions H-s for intersections related to semisimple Lie algebras is suggested. This conjecture is proved

Black hole p-brane solutions for general intersection rules of the governing functions H_s for intersections related to semisimple Lie algebras is suggested. This conjecture

Language conjecture in teaching Russian as foreignThe article describes peculiarities of language conjecture and factors which help it's forming

Hairy black holes in the XX-th and XXI-st centuries
No-hair conjecture

On critical values of polynomials with real critical pointsSmale's conjecture

Trans-Planckian Censorship and Spacetime SingularitiesWe study the effects of trans-Planckian censorship conjecture (TCC) bounds on geodesic completeness

A note about torsional rigidity and Euclidean moments of plane domains

Quantum complex scalar field in two-dimensional spacetime with closed timelike curves and a time-machine problem is given for which the Hawking's chronology protection conjecture is violated.

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