Linear independence of linear forms in polylogarithms

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منابع مشابه

Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

We study properties of coefficients of a linear form, originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrationality of the Riemann zeta function at odd integers.

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Linear Independence of Characters

Example 1.1. A field homomorphism K → F is a character by restricting it to the nonzero elements of K (that is, using G = K×) and ignoring the additive aspect of a field homomorphism. In particular, when L/K is a field extension any element of Aut(L/K) is a field homomorphism L→ L and therefore is a character of L× with values in L×. Example 1.2. For any α ∈ F×, the map Z→ F× by k 7→ αk is a ch...

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ژورنال

عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

سال: 2009

ISSN: 2036-2145,0391-173X

DOI: 10.2422/2036-2145.2006.1.01