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: | Eugenijus Stankus |
---|---|
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!
|
Similar Items
-
On the analytic continuation of Euler products
by: Eugenijus Stankus
Published: (2000-12-01) -
The generalized numbers and modified L-functions
by: Eugenijus Stankus
Published: (1999-12-01) -
The general solutions of difference vector-equations with constant coefficients
by: Artūras Štikonas
Published: (2000-12-01) -
On Euler’s lemma
by: Juozas Juvencijus Mačys
Published: (2023-09-01) -
On teaching the probability theory
by: Eugenijus Stankus
Published: (2001-12-01)