An asymptotic series related to Ramanujan's expansion for the th Harmonic number

作者：Issaka Aziz^*

来源：Ramanujan Journal, 2016, 39(2): 303-313.

DOI：10.1007/s11139-014-9636-x

• Asymptotic expansions
• Harmonic numbers
• Zeta functions

In this paper, we investigate certain asymptotic series for the tail of the Riemann Zeta function used by M. D. Hirschhorn to prove an asymptotic expansion of Ramanujan for the th Harmonic number. We give a general form of these series with an explicit formula for its coefficients and with a precise error term.

• 出版日期2016-2