Congruences for Bernoulli, Euler, and Stirling Numbers

Journal of Number Theory

Volumn 78, Issue 2, 1999, Pages 204-227

  Young, Paul Thomas ^a  

^a School of Business   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001002960     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1999.2401     Document Type: Article

References (10)

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3. Carlitz L. Some theorems on Bernoulli numbers of higher order. Pacific J. Math. 2:1952;127-139.
4. Dwork B. Lectures on p-adic Differential Equations. 1982;Springer-Verlag, New York.
5. Gunaratne H. S. A new generalisation of the Kummer congruence. Computational Algebra and Number Theory. Mathematics and Its Applications. 325:1995;Kluwer, Dordrecht. p. 255-265.
6. Howard F. T. Congruences and recurrences for Bernoulli numbers of higher order. Fibonacci Quart. 32:1994;316-328.
7. Nörlund N. E. Differenzenrechnung. 1924;Springer, Berlin.
8. Tsumura H. On a p-adic interpolation of the generalized Euler numbers and its applications. Tokyo J. Math. 10:1987;281-293.
9. Tsumura H. On some congruences for the Bell numbers and for the Stirling numbers. J. Number Theory. 11:1991;206-211.
10. Washington L. Introduction to Cyclotomic Fields. 1982;Springer-Verlag, New York.