dedicated to bruce c. berndt on the occasion of his 60th birthday In this paper we use the theory of elliptic functions to provide different proofs of some Eisenstein series identities of Ramanujan from those given in a recent paper by B. C. Berndt, S. Bhargava, and F. G. Garvan (1995, Trans. Amer.
โฆ LIBER โฆ
Some convolution series identities
โ Scribed by R.K. Raina; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 399 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Some Eisenstein Series Identities
โ
Zhi-Guo Liu
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 151 KB
Some multiple series identities
โ
B.B. Jaimini; C.L. Koul; H.M. Srivastava
๐
Article
๐
1994
๐
Elsevier Science
๐
English
โ 328 KB
Some q-series identities related to divi
โ
Karl Dilcher
๐
Article
๐
1995
๐
Elsevier Science
๐
English
โ 336 KB
The generating functions of the divisor functions adn) ---Ydl,d k are expressed as sums of products of the series U,(q):= ~ nmq" [1 (l-qJ), m= 1 ..... k+ 1, n=l j=n+l and vice versa. Other related q-series identities are derived, including
Bounded approximate identities, factoriz
โ
Allan M Sinclair
๐
Article
๐
1978
๐
Elsevier Science
๐
English
โ 598 KB
Convolution identities and lacunary recu
โ
Takashi Agoh; Karl Dilcher
๐
Article
๐
2007
๐
Elsevier Science
๐
English
โ 169 KB
We extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can be written in symbolic notation as (B 0 + B 0 ) n = -nB n-1 -(n -1)B n , to obtain explicit expressions for (B k + B m ) n with arbitrary fixed integers k, m 0. The proof uses convolution identities for Stirl
On some resultant identities
โ
N. Kravitsky; Z. Waksman
๐
Article
๐
1989
๐
Elsevier Science
๐
English
โ 850 KB