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A note on Carlitzq-Bernoulli numbers and polynomials

โœ Scribed by Daeyeoul Kim, Min-Soo Kim


Book ID
119906751
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
205 KB
Volume
2012
Category
Article
ISSN
1687-1839

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Let {B.(x)} be the well-known Bernoulli polynemials. It is the purpose of this paper to determine pB~p-t~+b(x)modp ", where p is a prime, k, b nonnegative integers and x a rational p-integer. It is interesting to investigate arithmetic properties of {B,} and {Bn(x)}. For the work on this line one ma