Some Congruences for Traces of Singular Moduli
نویسنده
چکیده
We address a question posed by Ono [7, Problem 7.30], prove a general result for powers of an arbitrary prime, and provide an explanation for the appearance of higher congruence moduli for certain small primes. One of our results overlaps but does not coincide with a recent result of Jenkins [6]. This result essentially coincides with a recent result of Edixhoven [3], and we hope that the comparison of the methods, which are entirely different, may reveal a connection between the p-adic geometry and the arithmetic of half-integral weight Hecke operators.
منابع مشابه
Congruences for Traces of Singular Moduli
We extend a result of Ahlgren and Ono [1] on congruences for traces of singular moduli of level 1 to traces defined in terms of Hauptmodul associated to certain groups of genus 0 of higher levels.
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تاریخ انتشار 2005