By Kenji Nagasaka

Those court cases include invited papers by way of mathematicians reviewing the new development in analytic quantity concept and comparable subject matters. Papers on Diophantine approximations, zeta features, Dirichlet L-functions, general numbers, dispersion of multidimensional sequences, and Diophantine equations also are provided.

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2. G. Christo}, T. Kamae, M. Mendes-France et G. Rauzy, automates et substitutions, Bull. Soc. Math. France 108 (1980), 3. P. Deligne, Integration sur un cycle evanescent, Invent. 129-143. 4. J. Denef and L. Lipshitz, Algebraic powerseries and dia Theory 26 (1987), 46-67. 5. M. Fliess, Sur divers produits de series formelles, Bull. S 102 (1974), 181-191. 6. H. Furstenberg, Algebraic functions over finite field, J. 271-277. 7. T. Harase, Algebraic elements in formal power series ring (1988), 281-288.

Mas] D. W. Masser, Linear form~ in algebMic point. of abelian function~ I Math. Soc. 88 (1976), 549-564. [P-W] P. Philippon-M. , Sem. de Theorie des Nombrea Pari& 1986/8 Birkhiuser, Boeton Basel Berlin (1988), 313-347. J. H. e arithmetic of elliptic cuM/el1 GTM 106, Springer, B [Si] New York (1986). (Sch) W. M. Schmidt, Integer point. on curve• of genw 1, Compoeitio Math. 8 D. Zagier, LArge integrcal point. on elliptic curt1e1 1 Math. Computatio [Z] (1987), 425-436. (Ba] This page is intentionally left blank OVER FINITE FIELDS MAKOTO ISHIBASHI Iwaki M eisei University Chuohdai-/ino, Iwaki-shi Fukushima, 970, Japan 1.

France 108 (1980), 3. P. Deligne, Integration sur un cycle evanescent, Invent. 129-143. 4. J. Denef and L. Lipshitz, Algebraic powerseries and dia Theory 26 (1987), 46-67. 5. M. Fliess, Sur divers produits de series formelles, Bull. S 102 (1974), 181-191. 6. H. Furstenberg, Algebraic functions over finite field, J. 271-277. 7. T. Harase, Algebraic elements in formal power series ring (1988), 281-288. -, Algebraic elements in formal power series rings II, Isr. J 62-66. - , Algebraic dependence of formal power series, Proceedin ber Theory (ed.

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