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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1968 Volume 32, Issue 6, Pages 1264–1274 (Mi im2516)

This article is cited in 4 papers

On reduction modulo a prime of fields of modular functions

I. I. Pyatetskii-Shapiro


Abstract: We study the reduction modulo $p$ of a subring of the field of modular functions $K(p^\infty)$ modulo $p$. We obtain a generalization of a known congruence of Weber.

UDC: 513.6

MSC: 11F03, 11F25, 11F33, 11F30, 11F70

Received: 06.05.1968


 English version:
Mathematics of the USSR-Izvestiya, 1968, 2:6, 1213–1222

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