Geodesic
Bivariate identities for values of the Hurwitz zeta function and supercongruences
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this paper, we prove a new identity for values of the Hurwitz zeta function which contains as particular cases Koecher's identity for odd zeta values, the Bailey-Borwein-Bradley identity for even zeta values and many other interesting formulas related to values of the Hurwitz zeta function. We also get an extension of the bivariate identity of Cohen to values of the Hurwitz zeta function. The main tool we use here is a construction of new Markov-WZ pairs. As application of our results, we prove several conjectures on supercongruences proposed by J. Guillera, W. Zudilin, and Z. W. Sun.
DOI : 10.37236/2049
Classification : 11M35, 05A19, 05A30, 33D15, 33F10
Mots-clés : Hurwitz zeta function, Koecher's identity, Markov-WZ pairs, Bailey-Borwein-Bradley 
@article{10_37236_2049,
     author = {Kh. Hessami Pilehrood and T. Hessami Pilehrood},
     title = {Bivariate identities for values of the {Hurwitz} zeta function and supercongruences},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/2049},
     zbl = {1242.33027},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2049/}
}
TY  - JOUR
AU  - Kh. Hessami Pilehrood
AU  - T. Hessami Pilehrood
TI  - Bivariate identities for values of the Hurwitz zeta function and supercongruences
JO  - The electronic journal of combinatorics
PY  - 2011
VL  - 18
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/2049/
DO  - 10.37236/2049
ID  - 10_37236_2049
ER  - 
%0 Journal Article
%A Kh. Hessami Pilehrood
%A T. Hessami Pilehrood
%T Bivariate identities for values of the Hurwitz zeta function and supercongruences
%J The electronic journal of combinatorics
%D 2011
%V 18
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/2049/
%R 10.37236/2049
%F 10_37236_2049
Kh. Hessami Pilehrood; T. Hessami Pilehrood. Bivariate identities for values of the Hurwitz zeta function and supercongruences. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/2049

Cité par Sources :