“Double Sum”的概念、定义、习题解题方法及翻译-数学辞典

单词

Double Sum

释义

Double Sum

A nested sum over two variables. Identities involving double sums include the following:

(1)

where

(2)

is the Floor Function, and

(3)

Consider the sum

(4)

over binary Quadratic Forms. If

can be decomposed into a linear sum of products ofDirichlet L-Series, it is said to be solvable. The related sums


			(5)

			(6)

			(7)

can also be defined, which gives rise to such impressive Formulas as

(8)

A complete table of the principal solutions of all solvable

is given in Glasser and Zucker (1980,pp. 126-131).

See also Euler Sum

References

Glasser, M. L. and Zucker, I. J. ``Lattice Sums in Theoretical Chemistry.'' Theoretical Chemistry: Advances and Perspectives, Vol. 5. New York: Academic Press, 1980.

Zucker, I. J. and Robertson, M. M. ``A Systematic Approach to the Evaluation of .'' J. Phys. A: Math. Gen. 9, 1215-1225, 1976.

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。