RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya

Izv. Akad. Nauk SSSR Ser. Mat., 1970, Volume 34, Issue 3, Pages 532–546 (Mi im2434)

Induced rings and the reduction of fields of Abelian modular functions
I. I. Pyatetskii-Shapiro

References

1. Eicher M., “Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion”, Arch. Math., 5 (1954), 355–366  crossref  mathscinet
2. Shimura G., “On modular correspondences for $\operatorname{Sp}(N,Z)$ and their congruence relations”, Proc. Nat. Acad. Sci., 49:6 (1963), 824–828  crossref  mathscinet  zmath  adsnasa
3. Igusa J. I., “On the graded ring of theta-constants”, Amer. J. Math., 86:1 (1964), 219–245  crossref  mathscinet
4. Baily W. L., “Classical theory of $\theta$-functions”, Proc. Sym. Pure Math., IX (1966), 306–312  mathscinet
5. Igusa J. I., “On the algebraic theory of elliptic modular functions”, J. Math. Soc. Japan, 20:1–2 (1968), 96–106  mathscinet  zmath
6. Ihara Y., On congruence monodromy problems, v. 1, Lecture notes, 1, Tokyo, 1968  mathscinet  zmath
7. Pyatetskii-Shapiro I. I., Shafarevich I. R., “Teoriya Galua transtsendentnykh rasshirenii i uniformizatsiya”, Izv. AN SSSR. Ser. matem., 30 (1966), 671–704  mathnet
8. Pyatetskii-Shapiro I. I., “O reduktsii po prostomu modulyu polei modulyarnykh funktsii”, Izv. AN SSSR. Ser. matem., 32 (1968), 1264–1274  mathnet
9. Pyatetskii-Shapiro I. I., “Indutsirovannye koltsa i reduktsiya polei avtomorfnykh funktsii”, Funktsionalnyi analiz, 4:1 (1970), 94  mathnet  mathscinet  zmath
10. Kirshtein B. X., Pyatetskii-Shapiro I. I., “Invariantnye podkoltsa indutsirovannykh kolets”, Izv. AN SSSR. Seriya matem., 34 (1970), 83–89  mathnet
11. Mumford D., Geometric Invariant Theory, Springer, Berlin, Heidelberg, New York, 1965  mathscinet  zmath
12. Pyatetskii-Shapiro I. I., Avtomorfnye funktsii i geometriya klassicheskikh oblastei, Fizmatgiz, M., L., 1961
13. Algebraic Number Theory, Acad. Press, London, 1967; Algebraicheskaya teoriya chisel, Mir, M., 1969  mathscinet


© Steklov Math. Inst. of RAS, 2025