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Multiplicity estimate for solutions of extended Ramanujan's system

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JournalJournal de Théorie des Nombres de Bordeaux
DatePublished - 2012
Issue number3
Volume24
Number of pages9
Pages (from-to)773-781
Original languageEnglish

Abstract

We establish a new multiplicity lemma for solutions of a differential system extending Ramanujan's classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive integers (Nesterenko, 2011).

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