Abstract
In this paper we shall exhibit the close mutual interaction between zeta-regularization theory and number theory by establishing two examples; the first gives the unified Kronecker limit formula, the main feature being that stated in terms of zeta-regularization, the second limit formula is informative enough to entail the first limit formula, and the second example gives a generalization of a series involving the Hurwitz zeta-function, which may have applications in zeta-regularization theory.
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Yoshimoto, M. (2002). Two Examples of Zeta-Regularization. In: Jia, C., Matsumoto, K. (eds) Analytic Number Theory. Developments in Mathematics, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3621-2_22
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DOI: https://doi.org/10.1007/978-1-4757-3621-2_22
Publisher Name: Springer, Boston, MA
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