# Computer Algebra in Quantum Field Theory: Integration, by Jakob Ablinger, Johannes Blümlein (auth.), Carsten

By Jakob Ablinger, Johannes Blümlein (auth.), Carsten Schneider, Johannes Blümlein (eds.)

The booklet specializes in complicated desktop algebra tools and precise features that experience amazing purposes within the context of quantum box concept. It offers the cutting-edge and new equipment for (infinite) a number of sums, a number of integrals, specifically Feynman integrals, distinction and differential equations within the structure of survey articles. The awarded concepts emerge from interdisciplinary fields: arithmetic, laptop technology and theoretical physics; the articles are written via mathematicians and physicists with the target that either teams can examine from the opposite box, together with most modern advancements. along with that, the gathering of articles additionally serves as an up to date guide of accessible algorithms/software which are primary or might actually help within the fields of arithmetic, physics or different sciences.

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Novi Comm. Acad. Sci. Petropol. 20, 140–186 (1775). (reprinted in Opera Omnia Ser I, vol. 15, pp. 217–267. G. Teubner, Berlin (1927)) 79. Hoffman, M. : Sums of triple harmonic series. J. : A decomposition of Riemann’s zeta-function. In: Motohashi, Y. ) Analytic Number Theory, London Mathematical Society. Lecture Note Series, vol. 247, pp. 95–101. : Multiple Zeta Values. (preprint) 80. : Multiple harmonic series. Pac. J. Math. 152, 275–290 (1992) 81. : Algebraic aspects of multiple zeta values. , T.

Phys. Commun. 180, 2218–2249 (2009). 3106 [hep-ph]] 15. : A symbolic summation approach to Feynman integral calculus. J. Symb. Comput. 47, 1267–1289 (2012). SC]] 16. : A new development of the theory of the hypergeometric functions. Proc. Lond. Math. Soc. 6(2), 141 (1908); A transformation of generalized hypergeometric series. Quart. Journ. Math. : Abriß einer einheitlichen Theorie der Gamma- und der hypergeometrischen Funktionen. Math. Ann. 68, 305–337 (1910) 17. : AMBRE: a mathematica package for the construction of Mellin-Barnes representations for Feynman integrals.

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