논문KCI 등재
Remarks on some combinatorial determinants
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 307-312
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In this note we first give a simple, direct proof of a combinatorial determinant involving the usual higher derivatives and then obtain a corresponding result in positive characteristic.
Abstract
In this note we first give a simple, direct proof of a combinatorial determinant involving the usual higher derivatives and then obtain a corresponding result in positive characteristic.
참고문헌 (11)
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- H. Hasse, "Theorie der h¨oheren Differentiale in einem algebraischen Funktionenk¨orper mit vollkommenem Konstantenk¨orper bei beliebiger Charakteristik", J. Reine Angew. Math, 175, pp.50~54 (1936)
- H. Hasse, "Noch eine Begr¨undung der Theorie der h¨oheren Differentialquotienten in einem algebraischen Funktionenk¨orper einer Unbestimmten", J. Reine Angew. Math, 177, pp.215~237 (1937)
- S. Jeong, "On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic", J. Number Theory, 113, pp.53~68 (2005)
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- M. Rosen, "Number theory in function fields, Graduate Texts in Mathematics 210" (2002), Springer-Verlag
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