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Sums of Products of Twoq-Bernoulli Numbers

✍ Scribed by Junya Satoh

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
94 KB
Volume
74
Category
Article
ISSN
0022-314X

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✦ Synopsis

We extend a well-known formula for sums of products of two Bernoulli numbers to that of Carlitz's q-Bernoulli numbers. Recently Dilcher (J. Number Theory 60 (1996), 23 41) generalized the formula for sums of products of any number of Bernoulli numbers, but it is not easy to prove the generalized formula for q-Bernoulli numbers. In this paper we give a q-formula in the case of two q-Bernoulli numbers.

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