Part-time Employment of Married Women and Fertility in Urban Japan

Previous studies of female labor force participation in Japan often show that the estimates of female wage rates are "negative" in their single-equation models of labor supply. Based on the common belief that the substitution effect dominates the income effect for female labor supply, to disentangle the problem of the inconsistency is, therefore, necessary for the purpose of predicting the behavior of female labor supply and for guiding policy actions. In this paper, we have estimated a logit model of married women's part-time employment and a fertility equation in the context of a simultaneous-equation model. By specifically differentiating part-time employed married women from full-time employed married women,we find that the structural coefficients of the part-time labor supply are significantly different from those of the full-time labor supply in terms of elasticity. However, contrary to the result of married women's full-time employment, we find little interdependency between married women's decisions to work as part-time employees and their fertility in urban Japan.

A new upper bound for odd perfect numbers of a special form

We shall given a new effectively computable upper bound of odd perfect numbers whose Euler factors are powers of fixed exponent, improving our old result in T. Yamada, Colloq. Math. 103 (2005), 303--307.Comment: 10 pages, the author's revised version; 3 pages, corrigendum to the previous (published in the journal) versio

Renormalizability of a lattice chiral fermion in the overlap formulation

Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms breaking the chiral symmetry do not appear and the chiral fermion is renormalized, preserving the correct chiral properties without adding new counter-terms or tuning the parameters involved. The divergent part of the wave function renormalization factor agrees with that of the continuum theory. The overlap formulation of a lattice chiral fermion has passed the important test, the renormalizability, at one loop level.Comment: LaTeX, 11 pages, uses Feynman.tex. Figures added and minor misprints correcte