# New PDF release: Computer Algebra in Quantum Field Theory: Integration,

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

ISBN-10: 3709116155

ISBN-13: 9783709116159

ISBN-10: 3709116163

ISBN-13: 9783709116166

The booklet makes a speciality of complex computing device algebra tools and targeted capabilities that experience extraordinary purposes within the context of quantum box conception. 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 layout of survey articles. The offered suggestions emerge from interdisciplinary fields: arithmetic, desktop technological know-how and theoretical physics; the articles are written via mathematicians and physicists with the target that either teams can study from the opposite box, together with newest advancements. in addition to that, the gathering of articles additionally serves as an updated instruction manual of accessible algorithms/software which are typical or should help within the fields of arithmetic, physics or different sciences.

**Read Online or Download Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions PDF**

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J. Algebraic Combin. 11, 49–68 (2000). QA]]; The Hopf algebra structure of multiple harmonic sums. Nucl. Phys. (Proc. ) 135, 215 (2004). [arXiv:math/0406589] 48. : Ramanujan’s Notebooks, Part I. Springer, Berlin (1985) 49. : Einleitung in die Theorie dier Bin¨aren Formen, deutsche Bearbeitung von Th. Walter. Teubner, Leipzig (1881) 50. : Algebraic relations between harmonic sums and associated quantities. Comput. Phys. Commun. 159, 19–54 (2004). [hep-ph/0311046] 51. : Special values of multiple polylogarithms.

Algebra 262, 332–347 (2003) 84. : Algebraic relations for multiple zeta values. Uspekhi Mat. Nauk 58(1), 3–22 85. : A note on relations of multiple zeta values (preprint) 86. : Kontsevich’s integral for the Homfly polynomial and relations between values of multiple zeta functions. Topol. Appl. 62, 193–206 (1995) 87. : A generalization of the duality and sum formulas on the multiple zeta values. J. Number Theory 74, 189–209 (1999) 88. : Indag. Math. ) 12, 483–487 (2001) 89. : Cyclic sum of multiple zeta values.

Number Theory 74, 189–209 (1999) 88. : Indag. Math. ) 12, 483–487 (2001) 89. : Cyclic sum of multiple zeta values. Acta Arithmetica 123, 289–295 (2006) 90. : Evaluations of K fold Euler/Zagier sums: a compendium of results for arbitrary k. [hep-th/9611004] 91. : Derivation and double shuffle relations for multiple zeta values. Compositio Math. 142, 307–338 (2006); Preprint MPIM2004-100 ´ 92. : Th´eorie des moules, vol. 3, pr´epublications math´ematiques d‘Orsay (1981, 1982, 1985); La libre g´en´eration des multicˆetas et leur d’ecomposition canonico-explicite en irr´eductibles, automne (1999); Ari/gari et la d´ecomposition des multizˆetas en irr´eductibles.

### Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions by Jakob Ablinger, Johannes Blümlein (auth.), Carsten Schneider, Johannes Blümlein (eds.)

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