Author |
K.Ueno and M.Nishizawa, |
Journal |
Quantum Groups : Formalism and Applications (1995) 115-126, hep-th/9408143 |
Abstract |
A q-analogue of the Hurwitz zeta-function is introduced through considerations on the spectral zeta-function of quantum group SUq(2), and its analytic aspects are studied via the Euler-MacLaurin summation formula. Asymptotic formulas of some relevant q-functions are discussed. |
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Cited by: |
I. Cherednik,
On q-Analogues of Riemann's Zeta Function,
Selecta Math. (N.S.) 7 (2001), 447-491
M. Katsurada,
Asymptotic Expansions of Certain q-Series and a Formula of Ramanujan
for Specific Values of the Riemann Zeta Function.
Acta Arith. 107 (2003), 269--298.
M. Kaneko, N. Kurokawa and M. Wakayama,
A variation of Euler's approach to values of the Riemann zeta function,
Kyushu J. Math. 57 (2003), 175--192.
A.N. Kirillov,
Dilogarithm Identities,
Lect. Math. Sci. 7, Univ. Tokyo.
N. Kurokawa and M. Wakayama,
A Note on Spectral Zeta Functions of Quantum Groups,
International J. Math., 15 (2004) 125-133.
M. Nishizawa,
Multiple Gamma Function, Its q- and Elliptic Analogue
Rocky Mount. J. Math. 32 (2003), 793-811
M. Nishizawa and K. Ueno,
Connection Formulas for the Confluent Hypergeometric Functions and the Functional Relation for the Hurwitz Zeta-Function,
mathNT/0403457.
S.N.M. Ruijsenaars,
A Generalized Hypergeometric Function Satisfying Four Analytic Difference Equations
of Askey-Wilson type,
Comm. Math. Phys. 206 (1999), 639-690.
S.N.M. Ruijsenaars,
On Barns' Multiple Zeta and Gamma Functions,
Adv.Math. 156 (2000), 107-132.
M. Tierz
Spectral behavior of models with a quantum group symmetry,
hep-th/0308121.
K.Ueno and M.Nishizawa,
The Multiple Gamma Functions and the Multiple q-Gamma Functions,
Publ. RIMS., Kyoto Univ. 33 (1997), 813-838