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A generalization of Cohen- Eisenstein series and Shimura liftings and some congruences between Cusp forms and Eisenstein series

✍ Scribed by Xueli Wang; Dingyi Pei


Publisher
Vandenhoeck & Ruprecht
Year
2003
Tongue
German
Weight
951 KB
Volume
73
Category
Article
ISSN
0025-5858

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We prove congruences of shape E kþh E k Á E h ðmod NÞ modulo powers N of small prime numbers p; thereby refining the well-known Kummer-type congruences modulo these p of the normalized Eisenstein series E k : The method uses Serre's theory of Iwasawa functions and p-adic Eisenstein series; it presen