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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 299, Pages 118–126
DOI: https://doi.org/10.1134/S0371968517040070 (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
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DOI: https://doi.org/10.1134/S0371968517040070
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.
Received: January 24, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 299, Pages 109–116
DOI: https://doi.org/10.1134/S0081543817080077
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: Russian
Citation: Matti Jutila, “An approximate functional equation for the primitive of Hardy's function”, Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, MAIK Nauka/Interperiodica, Moscow, 2017, 118–126; Proc. Steklov Inst. Math., 299 (2017), 109–116
Citation in format AMSBIB
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\paper An approximate functional equation for the primitive of Hardy's function
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\bookinfo On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 299
\pages 118--126
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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