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Approximate Functional Equation

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Abstract

In Section 3.1 an approximation of the Lerch zeta-function by a finite sum (Theorem 3.1.2) was obtained for 0 < λ < 1. However, for applications the sum of Theorem 3.1.2 is often too long. In this chapter we will prove an approximate functional for L(λ, α, s) which gives more precise results.

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© 2003 Springer Science+Business Media Dordrecht

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Laurinčikas, A., Garunkštis, R. (2003). Approximate Functional Equation. In: The Lerch Zeta-function. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-6401-8_4

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  • DOI: https://doi.org/10.1007/978-94-017-6401-8_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6168-3

  • Online ISBN: 978-94-017-6401-8

  • eBook Packages: Springer Book Archive

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