Article
Licensed
Unlicensed
Requires Authentication
On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials
-
Bernd C. Kellner
Published/Copyright:
May 7, 2009
Abstract
We discuss the asymptotic expansions of certain products of Bernoulli numbers and factorials, e.g.,
for integers k ≥ 1 and r ≥ 0. Our main interest is to determine exact expressions, in terms of known constants, for the asymptotic constants of these expansions and to show some relations among them.
Keywords.: Asymptotic constants; Glaisher–Kinkelin constant; Bernoulli number; factorials; Gamma function; Riemann zeta function
Received: 2007-09-24
Accepted: 2009-02-21
Published Online: 2009-05-07
Published in Print: 2009-April
© de Gruyter 2009
You are currently not able to access this content.
Abstract
We discuss the asymptotic expansions of certain products of Bernoulli numbers and factorials, e.g.,
for integers k ≥ 1 and r ≥ 0. Our main interest is to determine exact expressions, in terms of known constants, for the asymptotic constants of these expansions and to show some relations among them.
Keywords.: Asymptotic constants; Glaisher–Kinkelin constant; Bernoulli number; factorials; Gamma function; Riemann zeta function
Received: 2007-09-24
Accepted: 2009-02-21
Published Online: 2009-05-07
Published in Print: 2009-April
© de Gruyter 2009
You are currently not able to access this content.
Articles in the same Issue
- On k-Imperfect Numbers
- On Universal Binary Hermitian Forms
- The Shortest Game of Chinese Checkers and Related Problems
- On Two-Point Configurations in a Random Set
- On Rapid Generation of SL2(𝔽q)
- Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index
- Some new van der Waerden numbers and some van der Waerden-type numbers
- Integer Partitions into Arithmetic Progressions with an Odd Common Difference
- On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials
Articles in the same Issue
- On k-Imperfect Numbers
- On Universal Binary Hermitian Forms
- The Shortest Game of Chinese Checkers and Related Problems
- On Two-Point Configurations in a Random Set
- On Rapid Generation of SL2(𝔽q)
- Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index
- Some new van der Waerden numbers and some van der Waerden-type numbers
- Integer Partitions into Arithmetic Progressions with an Odd Common Difference
- On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials
