Linear independence of hyperlogarithms
32 Pages
English
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Linear independence of hyperlogarithms

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32 Pages
English

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Linear independence of hyperlogarithms Matthieu Deneufchatel Laboratoire d'Informatique de Paris Nord, Universite Paris 13 Joint work with Gerard H. E. Duchamp, H. N. Minh, A. I. Solomon EJC GDR-IM, 29 Mars 2011

  • dsn sn ?

  • ejc gdr-im

  • over

  • van der

  • free monoid


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Published 01 March 2011
Reads 18
Language English

Exrait

Linear independence of hyperlogarithms
MatthieuDeneufchaˆtel
Laboratoire d’Informatique de Paris Nord, Universit´eParis13
JointworkwithGe´rardH.E.Duchamp,H.N.Minh,A.I.Solomon
EJC GDR-IM, 29 Mars 2011
P-31ILNPpeneI)dnneufM.Detel(chˆa01/2/102thri03msrepyagolcnedHfoe
4
Integrator and differential equation
Theorems and application to hyperlogarithms
8
Introduction
Outline
2
1
3
Algebra of the free monoid over a differential ring
-NPIL(letaˆhcfueceenndpedeIn3)P1.DenMgoratimhfoyHeplr3/18
Definition dsn L(a0    an|zz) =Zz0zZz0sn  Zz0s1s0ds0a0snan 0   
Of ordern; Introduced in 1928 by Lappo-Danilevski; Ifz06=aii, the integrals converge. Drinfel’d equation :dS=xz01+x1zS.
s03/2010ypnHioctdurontIhtsmagirreol