Affiliation:
1. Department of Mathematics University of Manchester Manchester UK
2. Department of Mathematics University of York York UK
Abstract
AbstractLet be the th derivative of Hardy's ‐function. The numerics seem to suggest that if and have the same parity, then the zeros of and come in pairs that are very close to each other. That is to say that has constant sign for the majority, if not almost all, of values . In this paper, we show that this is true a positive proportion of times. We also study the sign of the product of four derivatives of Hardy's function, .
Cited by
1 articles.
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