Jacob's ladders, ζ-factorization and infinite set of metamorphosis of a multiform
Abstract
In this paper we use Jacob's ladders together with fundamental Hardy-Littlewood formula (1921) to prove the so-called ζ-factorization formula on the critical line. Simultaneously, we obtain a set of control parameters of metamorphosis of a multiform connected with the Riemann-Siegel formula.
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