Multiplicity estimate for solutions of extended Ramanujan's system

Details Multiplicity estimate for solutions of extended Ramanujan's system Multiplicity estimate for solutions of extended Ramanujan's system

2011-08-31

arxiv.org/abs/1109.0025v1

Mathematics

Number Theory

Scientific paper

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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