Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter

We continue the study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we show the following results: Theorem A: The multiple (inverse) binomial sums of arbitrary weight and depth (see Eq. (1.1)) are expressible in terms of Remiddi-Vermaseren functions. Theorem B: The epsilon expansion of a hypergeometric function with one half-integer value of parameter (see Eq. (1.2)) is expressible in terms of the harmonic polylogarithms of Remiddi and Vermaseren with coefficients that are ratios of polynomials. Some extra materials are available via the www at this http://theor.jinr.ru/~kalmykov/hypergeom/hyper.htmlComment: 24 pages, latex with amsmath and JHEP3.cls; v2: some typos corrected and a few references added; v3: few references added

Large scale analytic calculations in quantum field theories

We present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.Comment: 25 pages Latex, 1 style fil

A NEW SPECIES OF THE GENUS AEGOSOMA AUDINET- SERVILLE, 1832 (COLEOPTERA, CERAMBYCIDAE) FROM THE RUSSIAN FAR EAST WITH THE NOTES ON ALLIED SPECIES

Aegosoma ivanovi sp. n. is described and illustrated from Primorskii krai (Russia)

ON PROBLEM IN DEVELOPMENT OF HOUSE BUILDING CONSTRUCTION WITH MINIMUM POWER RESOURCES CONSUMPTION

The paper presents an analysis of several variants of energy-efficient solutions for hot water supply systems in Minsk buildings that ensure significant reduction of energy for hot water supply in comparison with the existing level. The different systems have been considered as technical facilities for usage of solar energy and secondary heat sources and which are based on heat recovery of “grey” waste water, solar collector, photoelectric transducer, heat pump.Comparative analysis of the considered variants shows economic efficiency of waste water heat utilizers. An advantage of such system is in its all-year round usage in comparison with a solar collector. The second variant that is a combination of waste water heat utilizer and a solar collector that increases energy saving but it requires the increase of capital expenses. The third variant completely covers expenses of heat energy which is necessary for hot water supply. It is neces-sary to attract attention to the fact that expenses in the first two variants are close to the required ones but values of the third variant may significantly exceed the reliable level.The paper contains analytical material of Belarusian and Vietnamese researchers who were actively involved in implementation of the joint Belarusian-Vietnamese project “Usage of Renewable Power Sources in Physical-Mathematical Model of Heat Regime of Energy-Efficient House” (Project code: VAST. HTQT. Belarus. 03/2012–2013)

Independence of hyperlogarithms over function fields via algebraic combinatorics

We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e. the factor M in the differential equation dS=MS) has only singularities of first order (Fuchsian-type equations) and this implies that they freely span a space which contains no primitive. We give direct applications where we extend the property of linear independence to the largest known ring of coefficients