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Multiplicity estimate for solutions of extended Ramanujan's system
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Publication details
| Journal | Journal de Théorie des Nombres de Bordeaux |
|---|---|
| Date | Published - 2012 |
| Issue number | 3 |
| Volume | 24 |
| Number of pages | 9 |
| Pages (from-to) | 773-781 |
| Original language | English |
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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