Explicit estimates for the summatory function of Λ(n)/n from the one of Λ(n)
Acta Arithmetica (2013)
- Volume: 159, Issue: 2, page 113-122
- ISSN: 0065-1036
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topOlivier Ramaré. "Explicit estimates for the summatory function of Λ(n)/n from the one of Λ(n)." Acta Arithmetica 159.2 (2013): 113-122. <http://eudml.org/doc/279429>.
@article{OlivierRamaré2013,
abstract = {We prove that the error term $∑ _\{n≤x\} Λ(n)/n - logx + γ$ differs from (ψ(x)-x)/x by a well controlled function. We deduce very precise numerical results from the formula obtained.},
author = {Olivier Ramaré},
journal = {Acta Arithmetica},
keywords = {explicit estimates; von Mangoldt function},
language = {eng},
number = {2},
pages = {113-122},
title = {Explicit estimates for the summatory function of Λ(n)/n from the one of Λ(n)},
url = {http://eudml.org/doc/279429},
volume = {159},
year = {2013},
}
TY - JOUR
AU - Olivier Ramaré
TI - Explicit estimates for the summatory function of Λ(n)/n from the one of Λ(n)
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 2
SP - 113
EP - 122
AB - We prove that the error term $∑ _{n≤x} Λ(n)/n - logx + γ$ differs from (ψ(x)-x)/x by a well controlled function. We deduce very precise numerical results from the formula obtained.
LA - eng
KW - explicit estimates; von Mangoldt function
UR - http://eudml.org/doc/279429
ER -
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