Multiple Zeta Function - Symmetric Sums in Terms of The Zeta Function

Symmetric Sums in Terms of The Zeta Function

Let, and for a partition of the set, let Also, given such a and a k-tuple of exponents, define .

The relations between the and are: and

Read more about this topic:  Multiple Zeta Function

Famous quotes containing the words sums, terms and/or function:

    At Timon’s villalet us pass a day,
    Where all cry out,What sums are thrown away!’
    Alexander Pope (1688–1744)

    What had really caused the women’s movement was the additional years of human life. At the turn of the century women’s life expectancy was forty-six; now it was nearly eighty. Our groping sense that we couldn’t live all those years in terms of motherhood alone was “the problem that had no name.” Realizing that it was not some freakish personal fault but our common problem as women had enabled us to take the first steps to change our lives.
    Betty Friedan (20th century)

    My function in life is not to be a politician in Parliament: it is to get something done.
    Bernadette Devlin (b. 1947)