Zeta functions and normalized multiple sine functions

Koyama, Shin-ya; Kurokawa, Nobushige

Kodai Math. J., Tome 28 (2005) no. 1, p. 534-550 / Harvested from Project Euclid

Résumé

By using normalized multiple sine functions we show expressions for special values of zeta functions and L-functions containing ζ(3), ζ(5), etc. Our result reveals the importance of division values of normalized multiple sine functions. Properties of multiple Hurwitz zeta functions are crucial for the proof.

Publié le : 2005-10-14
Classification:

@article{1134397767,
     author = {Koyama, Shin-ya and Kurokawa, Nobushige},
     title = {Zeta functions and normalized multiple sine functions},
     journal = {Kodai Math. J.},
     volume = {28},
     number = {1},
     year = {2005},
     pages = { 534-550},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1134397767}
}

Koyama, Shin-ya; Kurokawa, Nobushige. Zeta functions and normalized multiple sine functions. Kodai Math. J., Tome 28 (2005) no. 1, pp.  534-550. http://gdmltest.u-ga.fr/item/1134397767/