Approximate functional equations for the Hurwitz and Lerch zeta-functions

As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J. Steuding (in [1]) proved the Riemann-Siegel type of the approximate functional equation for the Lerch zeta-function $\zeta_L (s, \alpha, \lambda ) = \sum_{n=0}^\infty e^{2\pi i n \lambda}(n + \alpha)^{-s}$. In this paper, we prove another type of approximate functional equations for the Hurwitz and Lerch zeta-functions. R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J. Steuding (in \cite{GLS2}) obtained the results on the mean square values of $\zeta_L (\sigma + it, \alpha , \lambda)$ with respect to $t$. We obtain the main term of the mean square values of $\zeta_L (1/2 + it, \alpha , \lambda)$ using a simpler method than their method in [2].Comment: 13 page

Economic Slowdown in Japan and the Role of Intangible Assets on the Revitalization of the Japanese Economy

The Japanese economy has stagnated since the economic bubble collapsed in 1990. The paper points out two reasons for the long-term stagnation of the Japanese economy: the slow growth in capital accumulation including ICT assets and the decline of entrepreneurship. In the advanced countries, intangible assets play a crucial role in the growth at the aggregate and firm levels. To revitalize the Japanese economy, we need policies which promote accumulation in intangible assets.bubble, non-performing loans, ICT investment, MFP, intangible investment

Antisymmetry in Strangeness -1 and -2 Three-Baryon Systems

Using the generalized Pauli principle by adding particle labels to the usual space and spin labels a symmetric Hamiltonian and a corresponding antisymmetric wavefunction is constructed for systems of three baryons in the strangeness sectors $S=-1$ and -2. Applications are the $\Xi NN-\Lambda\Lambda N$ and $NN\Lambda -NN\Sigma$ systems. Minimal sets of generalized coupled Faddeev equations for breakup and rearrangement operators as well as (possible) bound states are derived which have the ordinary Pauli principle among identical particles built in. The equations found confirm our previous sets of coupled Faddeev equations for those systems whose derivation was carried through for distinguishable particles and not using the generalized Pauli principle.Comment: 28 pages and 2 figure

Neutral kaon photoproduction on the deuteron

Neutral kaon photoproduction on the deuteron has been investigated by including the final state effects and compared with the experimental data. Comparison shows that the models used in this calculation can reproduce the data in the $\Sigma$ channel regions fairly well but still give over predictions in the $\Lambda$ channel. It seems that the tensor target asymmetries are more suitable for studying the final state effects. The extractions of the elementary photoproduction amplitude are also demonstrated.Comment: 6 pages, 6 figures, talk given by A. Salam at Fourth Asia-Pacific Conference on Few-Body Problems in Physics 2008 (APFB08), Depok, Indonesia, August 19-23, 200

Measuring Organization Capital in Japan: An Empirical Assessment Using Firm-Level Data

Globalization and the ICT revolution of the 1990s have forced many firms to reorganize in order to survive in a more competitive market. There are several approaches that can be used to assess the measurement of organization capital since it is unobservable. Using an optimizing firm model and assuming that a firm holds multiple assets as suggested by Yang and Brynjolfsson (2001) and Cummins (2005), we examined whether organization capital is accumulated with investment in several types of assets. In contrast to Cummins's (2005) results, we found that the accumulation of organization capital is associated with investment in R&D assets and marketing assets. Using these results and following Basu, Fernald, Oulton, and Srinivasan (2003), we measured the contribution of organization capital to the conventional TFP growth. The estimation results implied that the growth of organization capital did not have significant effects on productivity growth.adjustment cost of investment, intangible asset, organizational capital, Tobins q, total factor productivity.