Web13 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 … 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 …
Lappo-Danilevsky hyperlogarithm and period of Calabi-Yau manifold
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 … http://www.mrob.com/pub/math/largenum-3.html good cook rice cooker
Lappo-Danilevsky hyperlogarithm and period of Calabi-Yau …
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 … WebWe 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 … 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 view of a higher logarithm expansion. The main result is that the periods have Lappo-Danilevsky-type hyperlogarithmic structure. good cook silicone spreader spatula