The function \(E_{2}(R)\) is used to denote the error term in the asymptotic formula for the fourth power moment of the Riemann zeta-function on the half-line. In this paper we prove several new results concerning this function, which include \(O\) - and \(\Omega\)-results. In the proofs use is made
β¦ LIBER β¦
Remarks on a formula of Riemann for his zeta-function
β Scribed by Norman Levinson
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 322 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-247X
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It is well-known that, by applying standard inequalities to functions with values in an appropriate Banach space, the applicability of these inequalities can often be usefully extended. For this reason, it is noteworthy that, whereas M. Riesz' original proof of his well-known inequality for the