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Length of the Sum and Product of Algebraic Numbers

โœ Scribed by A. Dubickas; C. J. Smyth


Publisher
SP MAIK Nauka/Interperiodica
Year
2005
Tongue
English
Weight
122 KB
Volume
77
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


Sums and products of interval algebras
โœ D. J. Foulis; R. J. Greechie; M. K. Bennett ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 924 KB
Sums of Products of Bernoulli Numbers
โœ Karl Dilcher ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 573 KB

Closed expressions are obtained for sums of products of Bernoulli numbers of the form ( 2n 2j 1 , ..., 2jN ) B 2j1 } } } B 2jN , where the summation is extended over all nonnegative integers j 1 , ..., j N with j 1 + j 2 + } } } + j N =n. Corresponding results are derived for Bernoulli polynomials,

Algebraic Independence of Sums of Recipr
โœ Kumlko Nishioka; Taka-Aki Tanaka; Takeshi Toshimitsu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 468 KB

Algebraic independence of the numbers -(%ah . .-, sequence of integers satisfying a binary linear recurrence relation and { b h ] h ~o is a periodic sequence of algebraic numbers not identically zero, are studied.

Sums of Products of Twoq-Bernoulli Numbe
โœ Junya Satoh ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

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 for