On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions
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DOI: 10.3390/axioms12010068
Abstract: Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem… read more here.
Keywords: integrals logarithm; analytical functions; theorem; generalized littlewood ... See more keywords
A Hardy–Littlewood theorem for Bergman spaces
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DOI: 10.5186/aasfm.2018.4345
Abstract: Let D be the open unit disk in the complex plane C and let H(D) denote the space of all analytic functions on D. For p > 0 and α > −1 we consider the… read more here.
Keywords: hardy littlewood; theorem bergman; bergman spaces; littlewood theorem ... See more keywords