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Sharper bounds for the Chebyshev functions theta(x) and psi(x). II
Source of package schoenfeld.chebyshev_bounds · DOI:10.1090/S0025-5718-1976-0457374-X
- work
- urn:doctrine:math:schoenfeld-chebyshev-bounds#SCHOENFELD_1976
- number
- DOI:10.1090/S0025-5718-1976-0457374-X
- kind
- urn:doctrine:math:schoenfeld-chebyshev-bounds#treatise
SCHOENFELD_1976_ABSTRACT
- edition
- urn:doctrine:math:schoenfeld-chebyshev-bounds#SCHOENFELD_1976_ABSTRACT
- language
- en
- officiality
- official
- materialisation
- PINNED_UNOFFICIAL_COPY
- life cycle
- adopted: 1976-04-01
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0457374-X/ | text/plain; charset=utf-8 | sha256:098c2f7e4b461f63c493759e80981f567f6e6e900178f710315ffc554d34b4aa | 2026-09-17T00:10:00Z |
Fragments — 2
abstract · lemma
en · official · sha256:6e85b6f9e2149776096cae10f46e42c00107f7582a3c7d8529ef87170bbee7f4
Abstract
In this paper, bounds given in the first part of the paper are strengthened. In addition, it is shown that the interval (x, x + x/16597) contains a prime for all x >= 2,010,760; and explicit bounds for the Chebyshev functions are given under the assumption of the Riemann hypothesis.title · defn · referenced by: 1
en · official · sha256:9742b22eb0eb58412b628f6e4c5fc941b85d58333b88658ca9456ba456a22113
Sharper bounds for the Chebyshev functions theta(x) and psi(x). II
by Lowell Schoenfeld
Math. Comp. 30 (1976), 337-360
DOI: https://doi.org/10.1090/S0025-5718-1976-0457374-XReferencing norms: SchoenfeldSource
The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.