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Hyperlogarithm

Web26 mei 2006 · We discuss the period of complex structure modulus space for a degree-(n+1) Calabi-Yau hypersurface embedded in complexn-dimensional projective spaceCP n , in … WebAnalogues of hyperlogarithm functions on affine complex curves Joint with Benjamin Enriquez arXiv:2212.03119 [math.AG] Construction of Maurer-Cartan elements over configuration spaces of curves Joint with Benjamin Enriquez arXiv:2110.09341 [math.AG] Building blocks of closed and open string amplitudes Joint with Pierre Vanhove

Feynman integrals with hyperlogarithms

WebWe provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when th… Webhyperlogarithms. Plural of hyperlogarithm. Renormalization group functions of \phi^4 theory in the MS-scheme to six loops: " Paired with parametric integration via hyperlogarithms, this method is particularly well suited for the computation of renormalization group functions and easily automated. ". goodman shipping east lodi nj https://cansysteme.com

Hyperlogarithms, Bernoulli polynomials, and related multiple

Web- PE versus propidium iodide (PI), using logarithm/hyperlogarithm scale - PE versus FITC, using logarithm/hyperlogarithm scale - APC versus FITC, using … Webk is a hyperlogarithm in the next integra-tion variable z k+1. This criterion on f 0 is called linear reducibility in [11], where the symbolic integration algo-rithm of such functions is … Web1 mrt. 2015 · In order to compute multi-dimensional integrals (1.4) by iterated integration using the algorithms of Section 2, we must require that for each k, the partial integral f k ∈ L (Σ k) (z k + 1) where Σ k ⊂ C (z k + 2, …, z n) is a hyperlogarithm in the next integration variable z k + 1. goodmans high power bass party speaker 346815

Analytic regularization of divergent integrals and hyperlogarithmic ...

Category:Regularization of divergent Feynman integrals and their …

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Hyperlogarithm

Single-valued hyperlogarithms and unipotent differential equations.

http://www.mrob.com/pub/math/largenum-3.html Web1 mrt. 2015 · Symbolic integration of such functions therefore serves a tool for the exact and direct evaluation of Feynman graphs. Solution method: Symbolic integration of rational …

Hyperlogarithm

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Web1 sep. 2016 · Given a formula for the Mahler measure of a rational function expressed in terms of polylogarithms, we describe a new method that allows us to construct a rational function with 2 more variables and whose Mahler measure is still expressed in terms of polylogarithms. We use this method to exhibit three new examples of Mahler measure … Web1 The hyperlogarithm method of integration 2 Examples of linearly reducible Feynman integrals 3 Divergences and analytic regularization Erik Panzer (HU Berlin) hyperlogarithms & divergent integrals March 18th, 2014 1 / 21. Plan of the talk 1 The hyperlogarithm method of integration

WebHyperlogarithm is a function of one variable which takes multiple zeta value as its special value. We ap-proach linear relations among multiple zeta values through a study of linear relations among the hyperlogarithms. In this chapter, rst, we introduce a generalization of Web6 dec. 2024 · Analogues of hyperlogarithm functions on affine complex curves. For a smooth affine complex curve, we show the existence and uniqueness of a minimal (for …

Web1 The hyperlogarithm method of integration 2 Examples of linearly reducible Feynman integrals 3 Divergences and analytic regularization Erik Panzer (HU Berlin) …

WebNoun. hyperlogarithms. Plural of hyperlogarithm. Renormalization group functions of \phi^4 theory in the MS-scheme to six loops: " Paired with parametric integration via …

WebWe provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss various applications. In particular, many Feynman integrals can be computed by this method. goodmans high power bassWeb28 okt. 2024 · Multiple polylogarithm function and hyperlogarithm were introduced by Lappo- 15 Danilevski in 1927 [11], and subsequently rediscovered when evaluating … goodman shoes indianapolisWeb11 dec. 2016 · The hyperlogarithm \(L_w(z)\) is an iterated integral [12, 21] defined recursively in any simply connected open subset U of the punctured complex … goodmans high power bass party speaker reviewWeb13 apr. 2024 · Multiple polylogarithm and hyperlogarithm functions were introduced by Lappo-Danilevski in 1927 and subsequently rediscovered when evaluating Feynman loop integrals in four dimensions, which is particularly useful when devising algorithms to numerically compute some vacuum integrals (see, for instance, [9,10] and references … goodmans home appliancesWebPlan of the talk Abstract Hyperlogarithms provide a tool to carry out numerous Feynman integrals. So far, this method has been applied successfully to finite single-scale process goodman shortsWeb6 dec. 2024 · Analogues of hyperlogarithm functions on affine complex curves 6 Dec 2024 · Benjamin Enriquez , Federico Zerbini · Edit social preview goodman shoes indyWebWe discuss the period of complex structure modulus space for a degree- ( n +1) Calabi-Yau hypersurface embedded in complex n -dimensional projective space CP n, in view of … goodman shipping los feliz