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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 213–226 (Mi tm3375)  
This article is cited in 2 scientific papers (total in 2 papers)

Jacob's ladders, the structure of the Hardy–Littlewood integral and some new class of nonlinear integral equations

Jan Moser

Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Bratislava, Slovakia
Full-text PDF (208 kB) Citations (2)
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Abstract: In this paper we obtain new formulae for short and microscopic parts of the Hardy–Littlewood integral, and the first asymptotic formula for the sixth-order expression $|\zeta(\frac12+i\varphi _1(t))|^4|\zeta(\frac 12+it)|^2$. These formulae cannot be obtained in the theories of Balasubramanian, Heath-Brown and Ivić.
Received in February 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 276, Pages 208–221
DOI: https://doi.org/10.1134/S0081543812010178
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: English
Citation: Jan Moser, “Jacob's ladders, the structure of the Hardy–Littlewood integral and some new class of nonlinear integral equations”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 213–226; Proc. Steklov Inst. Math., 276 (2012), 208–221
Citation in format AMSBIB
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\paper Jacob's ladders, the structure of the Hardy--Littlewood integral and some new class of nonlinear integral equations
\inbook Number theory, algebra, and analysis
\bookinfo Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
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\vol 276
\pages 213--226
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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