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Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity
Jan Moser Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina M105, 842 48 Bratislava, Slovakia
Abstract:
In our previous papers, within the theory of the Riemann zeta-function we have introduced the following notions: Jacob's ladders, oscillating systems, $\zeta $-factorization, metamorphoses, etc. In this paper we obtain a $\zeta $-analogue of an elementary trigonometric identity and other interactions between oscillating systems.
Keywords:
Riemann zeta-function.
Received: January 11, 2017
Citation:
Jan Moser, “Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity”, 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, 203–218; Proc. Steklov Inst. Math., 299 (2017), 189–204
Linking options:
https://www.mathnet.ru/eng/tm3846https://doi.org/10.1134/S0371968517040136 https://www.mathnet.ru/eng/tm/v299/p203
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Abstract page: | 292 | Full-text PDF : | 25 | References: | 23 | First page: | 7 |
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