This series is absolutely convergent in the region Rs > 1, and defines a holomorphic function in s there. We call this function ζQ(s) the spectral zeta function for the non-commutative harmonic oscillator Q, which is introduced and studied by Ichinose and Wakayama [1]. The zeta function ζQ(s) is analytically continued to the whole complex plane as a single-valued meromorphic function which is h...

hopA mutants, which have been suggested to be defective in mini-F plasmid partitioning (H. Niki, C. Ichinose, T. Ogura, H. Mori, M. Morita, M. Hasegawa, N. Kusukawa, and S. Hiraga, J. Bacteriol. 170:5272-5278, 1988), were found to carry mutations in the gyrB gene, coding for the B subunit of DNA gyrase. In gyrB(HopA) mutants, relaxation of the superhelicity of plasmids, increased IncG incompati...

abstract more than %90 of natural silk in world is produced by means of mulberry silkworm (bombyx mori l.). therefore, it is important that we recognize and collect mulberry varieties which have high quantity and quality leaf performance. for this purpose, an experiment was conducted with five mulberry varieties (kenmochi, kairyonase, ichinose, shinichinose and local varieties) during two seaso...

We give an interpretation to the issue of the chiral determinant in the heatkernel approach. The extra dimension (5-th dimension) is interpreted as (inverse) temperature. The 1+4 dim Dirac equation is naturally derived by the Wick rotation for the temperature. In order to define a “good” temperature, we choose those solutions of the Dirac equation which propagate in a fixed direction in the ext...

Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on S/Z2, i.e., on an interval l of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of KaluzaKlein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along wit...

In this article we prove short time local well-posedness in low-regularity Sobolev spaces for large data general quasilinear Schr\"odinger equations with a non-trapping assumption. These results represent improvements over the small regime considered by authors previous works, as well pioneering works Kenig-Ponce-Vega and Kenig-Ponce-Rolvung-Vega, where viscosity methods were used to existence ...

We consider a gauge symmetry in a quantum Hilbert space. The symmetry leads to that of the heat-kernel and of the anomaly formulae which were previously obtained by the authors. This greatly simplifies and clarifies the structure of the formulae. We explicitly obtain the anomaly formulae in two and four dimensions, which “unify” all kinds of anomaly. The symmetry corresponds to that of the coun...

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We obtain a number of exact results, for example, mode functions, Hartle-Hawking Green functions on the black holes, Green functions on a cone geometry, free energi...

The illegal dumping of waste has been a serious environmental concern of most countries in the world. This paper examines the relationship between the provision ofwaste treatment facilities and the frequency of illegal dumping. Our results show that a shortage of intermediate waste treatment facilities has played an important role in increasing the frequency of illegal dumping. 2010 Elsevier B....

We formulate the renormalization procedure using the domain wall regularization which is based on the heat-kernel method. The Weyl anomalies for the 2D QED and 4D QED are correctly reproduced. It is found that the “chiral solution” produces (1/2) × correct vales, where d is the space dimension. The renormalization procedure is newly formulated, where both fermions and bosons (gauge fields) are ...