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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2017 Volume 299, Pages 118–126 (Mi tm3832)
An approximate functional equation for the primitive of Hardy's function

Matti Jutila

Department of Mathematics and Statistics, University of Turku, FI-20014 Turku, Finland

Abstract: A formula of Atkinson type for the primitive of Hardy's function is generalized to the case where the lengths of the two sums involved in that formula vary in wide ranges.

UDC: 511.331

Received: January 24, 2017

DOI: 10.1134/S0371968517040070


 English version: Proceedings of the Steklov Institute of Mathematics, 2017, 299, 109–116

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© Steklov Math. Inst. of RAS, 2025