著者
Masaki KATO
出版者
Faculty of Mathematics, Kyushu University
雑誌
Kyushu Journal of Mathematics (ISSN:13406116)
巻号頁・発行日
vol.76, no.2, pp.451-475, 2022 (Released:2022-10-11)
参考文献数
15
被引用文献数
2

Komori, Matsumoto and Tsumura introduced a zeta function ζr (s, Δ) associated with a root system Δ. In this paper, we introduce a q-analogue of this zeta function, denoted by ζr (s, a, Δ; q), and investigate its properties. We show that a ‘Weyl group symmetric' linear combination of ζr (s, a, Δ; q) can be written as a multiple integral over a torus involving functions Ψs. For positive integers k, functions Ψk can be regarded as q-analogues of the periodic Bernoulli polynomials. When Δ is of type A2 or A3, the linear combinations can be expressed as the functions Ψk, which are q-analogues of explicit expressions of Witten's volume formula. We also introduce a two-parameter deformation of the zeta function ζr (s, Δ) and study its properties.
著者
Kouko HAMAMOTO Yasuharu MIZUNO Masaki KATO Norio YAMAGISHI Kazuhisa FURUHAMA
出版者
公益社団法人 日本獣医学会
雑誌
Journal of Veterinary Medical Science (ISSN:09167250)
巻号頁・発行日
pp.12-0220, (Released:2012-11-13)
被引用文献数
3 4

A quantitative assay method by LC/ESI-MS/MS for the simultaneous determination of MCP in cattle plasma was developed and validated. The chromatographic separation was carried out using a multimode column (2 mm × 150 mm, 3 μm) with gradient elution (0.05% formic acid/methanol with 0.05% formic acid). MCP and levosulpiride (internal standard) were analyzed in the precursor/product ion pair of m/z 300.1/226.9 and m/z 342.0/112.0, respectively. Linear calibration curves were obtained in the range of 2.5–500 ng/ml (R2>0.999) with a lower limit of quantification of 0.05 ng/ml. Mean recoveries were 96–103% and a coefficient of variation was less than 6.5%. Plasma MCP concentrations after 0.4 mg/kg intravenous administration to 12 cattle were determined by the LC-MS/MS method.