17 citations · 34 across the 22 of their papers we have counts for
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math.NT2013
Counting and zeta functions over F1
Anton Deitmar, Shin-Ya Koyama, Nobushige Kurokawa
A new interpretation of zeta functions is given for F1-schemes which do not satisfy Soulé's condition. Functional equations for reductive groups are computed and a new definition o…
math.NT2013
Zeros of Witten zeta functions and absolute limit
Nobushige Kurokawa, Hiroyuki Ochiai
We introduce multiple versions of L-functions for Witten zeta functions. We study their algebraic and analytic properties. Especially we investigate the existence of zeros at negat…
math.NT2013
Dualities for absolute zeta functions and multiple gamma functions
Nobushige Kurokawa, Hiroyuki Ochiai
We study absolute zeta functions from the view point of a canonical normalization. We introduce the absolute Hurwitz zeta function for the normalization. In particular, we show tha…