Generalised Euler-Jacobi inversion formula and asymptotics beyond all orders
This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expr...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
1995
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| Series: | London Mathematical Society lecture note series
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Exact evaluation of S[superscript r subscript p/q] (a)
- Properties of S[subscript p/q] (a)
- Steepest descent
- Special cases of S[subscript p/q] (a) for p/q <2
- Integer cases for S[subscript p/q] (a) where 2 <̲ p/q <̲ 7
- Asymptotics beyond all orders
- Numerics for terminant sums
- Conclusion