An extension of a theorem of Nielsen
Olson, F.R. (1966)
Portugaliae mathematica
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Olson, F.R. (1966)
Portugaliae mathematica
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Torleiv Kløve (1980)
Acta Arithmetica
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Chip Snyder (1982)
Acta Arithmetica
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Ilya Sh. Slavutskii (2000)
Revista Matemática Iberoamericana
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The study of class number invariants of absolute abelian fields, the investigation of congruences for special values of L-functions, Fourier coefficients of half-integral weight modular forms, Rubin's congruences involving the special values of L-functions of elliptic curves with complex multiplication, and many other problems require congruence properties of the generalized Bernoulli numbers (see [16]-[18], [12], [29], [3], etc.). The first steps in this direction can be found in the...
Takashi Agoh (1998)
Mathematica Slovaca
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F. Howard (1990)
Acta Arithmetica
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Jacek Fabrykowski (1984)
Acta Arithmetica
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Glenn J. Fox (2002)
Journal de théorie des nombres de Bordeaux
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We illustrate how a particular expression, involving the generalized Bernoulli polynomials, satisfies systems of congruence relations if and only if a similar expression, involving the generalized Bernoulli numbers, satisfies the same congruence relations. These congruence relations include the Kummer congruences, and recent extensions of the Kummer congruences provided by Gunaratne.