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AbstractAbstract
[en] Because of the large coupling constant perturbation theory does not work in quantum chromodynamics at low energies. Attempts are made to find an approximation, which in zeroth order results in reasonable statements about the hadronic spectrum. The CPsup(N-1) is of particular interest in this connection. Section 1 is on the classical CPsup(N-1)-model; section 2 on generating functionals and operator product insertions; section 3 on 1/N expansion of the CPsup(N-1)-model and section 4 on the supersymmetric CPsup(N-1)-model. (G.Q.)
Original Title
Effektive Stroeme des CPsup(N-1)-Modells in der 1/N-Entwicklung
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Oct 1984; 64 p; Available from the Technical University Vienna, Karlsplatz 13, A-1040 Vienna, Austria; Ref. no. 169315 II.; Thesis (Dr.-sc. techn.).
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AbstractAbstract
[en] The conjecture that ζ(4) satisfies ζ(4)= 36/17 Σn=1∞ ((n!)2/(2n)! 1/n4 is proved analytically. (orig.)
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Lin, Keh Ying, E-mail: lin@phys.nthu.edu.tw2010
AbstractAbstract
[en] We have rigorously derived the perimeter generating function for the mean-squared radius of gyration of convex polygons. This function was first conjectured by Jensen. His nonrigorous result is based on the analysis of the long series expansions.
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S1751-8113(10)41915-0; Available from http://dx.doi.org/10.1088/1751-8113/43/26/265001; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 43(26); [7 p.]

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Bassily, N.L.; Katai, I.
International Centre for Theoretical Physics, Trieste (Italy)1995
International Centre for Theoretical Physics, Trieste (Italy)1995
AbstractAbstract
[en] It is proved that if f and g are complex-valued arithmetical functions such that g(2n + 1) - Af(n) → 0 (n → ∞), A ≠ 0, then either f(n) → 0(n → ∞), or f(n) = ns, 0 ≤ Res < 1 and A -f(2), g(n) = f(n) for every odd n. In this paper the case when f and g are pairs of multiplicative functions is considered. (author). 3 refs
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Apr 1995; 13 p
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Report
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AbstractAbstract
[en] For a general Franklin system {fn}n=0∞ generated by an admissible sequence T, we obtain necessary and sufficient conditions on T under which the corresponding system is a basis or an unconditional basis in B1[0,1]
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Available from http://dx.doi.org/10.1070/IM2014v078n06ABEH002723; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Izvestiya. Mathematics; ISSN 1064-5632;
; v. 78(6); p. 1120-1137

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Shmatkov, V. D., E-mail: shmatkov-vadim@yandex.ru2018
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[en] In this work, we set the conditions under which matrix functions are expanded into matrix trigonometric series.
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Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
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[en] A reformulation of rational approximants to holomorphic function in Csup(n) is given. A convergence theorem providing the multidegree of convergence for (μ, 1)-approximants under certain restrictions is discussed. (author)
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International Centre for Theoretical Physics, Trieste (Italy); v. 3 p. 25-34; ISBN 92-0-130576-1;
; 1976; IAEA; Vienna; International seminar course on complex analysis and its applications; Trieste, Italy; 21 May - 8 Aug 1975; IAEA-SMR--18/59

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AbstractAbstract
[en] Higher twists are important in large n moments, however, one must be cautious in this region because the perturbative expansion of the twist-two component as well as other expansions are ill behaved, showing an early divergence. Estimates can help in differentiating between different schemes and analyzing their behavior
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Mutter, K.H.; Schilling, K; p. 109-116; 1980; p. 109-116; Plenum; New York, NY; International summer institute on theoretical physics: current topics in elementary particle physics; Bad Honnef (Germany, F.R.); 1 - 12 Sep 1980
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AbstractAbstract
No abstract available
Original Title
Die Entwicklung des Streukernes der nichtlinearen Boltzmanngleichung nach den natuerlichen Stoss- und Streuwinkeln im Laborsystem
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Oesterreichische Physikalische Gesellschaft, Vienna; 109 p; 1986; p. 58; Austrian Physical Society - Annual convention 1986; Innsbruck (Austria); 22-26 Sep 1986; Published in summary form only.
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Enting, I G, E-mail: ian.g.enting@gmail.com2017
AbstractAbstract
[en] Several decades of parallel developments in the calculation and analysis of series expansions for lattice statistics have led to many new insights into critical phenomena. These studies have centered on the use of the finite lattice method for series expansions in lattice statistics and the use of differential approximants in analysing such series. One of these strands of research ultimately led to the result that a number of unsolved lattice statistics problems cannot be expressed as D-finite functions. Somewhat ironically, given power and success of differential approximants in analysing series, neither the assumed functional form, nor any finite generalisation thereof can fit such cases exactly. (topical review)
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Available from http://dx.doi.org/10.1088/1751-8121/aa6202; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 50(17); [13 p.]

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