On generalized Euler constants
The generalized Euler constants are defined by formulas γ(r, k) = limx → ∞ {∑0 < n ≤ x; n ≡ r(mod k) ⅟n - ⅟k log x}. The explicit formula for γ(r, k) is obtained applying the method of contour integration.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2002-12-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/32833 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825197224759394304 |
|---|---|
| author | Eugenijus Stankus |
| author_facet | Eugenijus Stankus |
| author_sort | Eugenijus Stankus |
| collection | DOAJ |
| description |
The generalized Euler constants are defined by formulas
γ(r, k) = limx → ∞ {∑0 < n ≤ x; n ≡ r(mod k) ⅟n - ⅟k log x}.
The explicit formula for γ(r, k) is obtained applying the method of contour integration.
|
| format | Article |
| id | doaj-art-26ccd34754e74b028cf177698df57208 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2002-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-26ccd34754e74b028cf177698df572082025-02-11T18:13:55ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2002-12-0142spec.10.15388/LMR.2002.32833On generalized Euler constantsEugenijus Stankus0Vilniaus University The generalized Euler constants are defined by formulas γ(r, k) = limx → ∞ {∑0 < n ≤ x; n ≡ r(mod k) ⅟n - ⅟k log x}. The explicit formula for γ(r, k) is obtained applying the method of contour integration. https://www.zurnalai.vu.lt/LMR/article/view/32833 |
| spellingShingle | Eugenijus Stankus On generalized Euler constants Lietuvos Matematikos Rinkinys |
| title | On generalized Euler constants |
| title_full | On generalized Euler constants |
| title_fullStr | On generalized Euler constants |
| title_full_unstemmed | On generalized Euler constants |
| title_short | On generalized Euler constants |
| title_sort | on generalized euler constants |
| url | https://www.zurnalai.vu.lt/LMR/article/view/32833 |
| work_keys_str_mv | AT eugenijusstankus ongeneralizedeulerconstants |