“Rudin-Shapiro Sequence”的概念、定义、习题解题方法及翻译-数学辞典

单词

Rudin-Shapiro Sequence

释义

Rudin-Shapiro Sequence

The sequence of numbers given by

(1)

where

is written in binary

(2)

It is therefore the parity of the number of pairs of consecutive 1s in the Binary expansion of

. The Summatory sequence is

(3)

which gives

(4)

(Blecksmith and Laud 1995).

References

Blecksmith, R. and Laud, P. W. ``Some Exact Number Theory Computations via Probability Mechanisms.'' Amer. Math. Monthly 102, 893-903, 1995.

Brillhart, J.; Erdös, P.; and Morton, P. ``On the Sums of the Rudin-Shapiro Coefficients II.'' Pac. J. Math. 107, 39-69, 1983.

Brillhart, J. and Morton, P. ``Über Summen von Rudin-Shapiroschen Koeffizienten.'' Ill. J. Math. 22, 126-148, 1978.

France, M. M. and van der Poorten, A. J. ``Arithmetic and Analytic Properties of Paper Folding Sequences.'' Bull. Austral. Math. Soc. 24, 123-131, 1981.

随便看

数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。