Abstract
In this chapter we will derive the functional equations of ζ(s) and Dirichlet’s L(s, χ). Our main tool is the Poisson summation formula and the theory of Fourier transforms.
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© 2001 Springer Science+Business Media New York
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Murty, M.R. (2001). Functional Equations. In: Problems in Analytic Number Theory. Graduate Texts in Mathematics, vol 206. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3441-6_5
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DOI: https://doi.org/10.1007/978-1-4757-3441-6_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3443-0
Online ISBN: 978-1-4757-3441-6
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