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Multiple zeta values and application to the Lacunary recurrence formulas of Bernoulli numbers

Y-H Chen

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This paper obtains a recurrence related to multiple zeta function, which generalizes the Newton recurrence for multiple zeta values for period 1. Moreover, we obtain some new Lacunary recurrence formulas of Bernoulli numbers.


PACS

02.10.De Algebraic structures and number theory

02.30.Lt Sequences, series, and summability

MSC

11B68 Bernoulli and Euler numbers and polynomials

30B10 Power series (including lacunary series)

11B37 Recurrences (For applications to special functions, see 33-XX)

11Mxx Zeta and L-functions: analytic theory

Subjects

Mathematical physics

Dates

Issue 1 (2008)



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