Multiplicity estimate for solutions of extended Ramanujan's system
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differentialmultiplicityramanujansolutionssystemarithmeticclassicalestablish
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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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