(日) 本桥洋一 (Yoichi Motohashi)

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This volume is an outcome of The 39th Taniguchi International Symposium on Mathematics Analytic Number Theory May 13-17， 1996， Kyoto organized by myself， and of its forum， May 20-24， organized by N. Hirata-Kohno， L. Murata and myself as a conference at the Research Institute for Mathematical Sciences， Kyoto University. I am deeply indebted to the Taniguchi Foundation for the generous support that made the symposium and the conference possible. The organizers of the conference acknowledge sincerely that the speakers were supported in part by the Inoue Science Foundation， the Kurata Foundation， Saneyoshi Scholarship Foundation， the Sumitomo Foundation； College of Science and Technology of Nihon University， the R.esearch Institute for Mathematical Sciences of Kyoto University； and the Grant-Aid for General Scientific R；esearch from the Ministry of Education， Science and Culture （through the courtesy of Prof. M. Koike， Kyushu University）. My special thanks are due to Profs. Hirata-Kohno and Murata for their unfailing collaboration during the three years of difficult preparation for the meetings.