- 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.