We have previously proved Kummer congruences mod primes p such that p - 1/n for the universal divided Bernoulli numbers B-n/n. In this paper we strengthen these congruences to hold mod powers of p. (C) 2004 Elsevier Inc. All rights reserved.
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Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R ChinaSichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
Hong, Shaofang
Zhao, Jianrong
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Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 610074, Peoples R ChinaSichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
Zhao, Jianrong
Zhao, Wei
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Sci & Technol Commun Secur Lab, Chengdu 610041, Peoples R ChinaSichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
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Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, ArgentinaUniv Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
Camporino, Maximilian
Pacetti, Ariel
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Univ Nacl Cordoba, FaMAF, CIEM, RA-5000 Cordoba, ArgentinaUniv Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina