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Multiplicity estimate for solutions of extended Ramanujan’s system. (English. French summary) Zbl 1354.11051

Summary: 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 [Yu. V. Nesterenko, Mosc. J. Comb. Number Theory 1, No. 2, 89–99 (2011; Zbl 1302.11051)].

MSC:

11J81 Transcendence (general theory)
11J82 Measures of irrationality and of transcendence
11J61 Approximation in non-Archimedean valuations

Citations:

Zbl 1302.11051
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References:

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