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Showing 2004 · math.NTShow all
3 papers · 2 filters
math.NT2004★ 3 cited
q-Analogues of the Barnes multiple zeta functions
Yoshinori Yamasaki
In this paper, we introduce -analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend…
math.NT2004★ 2 cited
Multiple finite Riemann zeta functions
K. Kimoto, N. Kurokawa, S. Matsumoto +1
Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some -series identity for…
math.NT2004★ 21 cited
q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function
Kenichi Kawagoe, Masato Wakayama, Yoshinori Yamasaki
A q-analogue of the Riemann zeta function was studied in [Kaneko et al. 03] via a certain q-series of two variables. We introduce in a similar way a q-analogue of the Dirichlet L-f…