We introduce a regularisation process for a sequence of real numbers computing the constant coefficient in an asymptotic expansion associated with the original sequence. We give explicit computations in several interesting particular cases. This approach originates in a geometric context.
Spreafico, M., Zaccagnini, A. (2021). Regularising Infinite Products by the Asymptotics of Finite Products. In S. Albeverio, A. Balslev, R. Weder (a cura di), Schrödinger Operators, Spectral Analysis and Number Theory In Memory of Erik Balslev (pp. 255-269). Springer Cham [10.1007/978-3-030-68490-7_13].
Regularising Infinite Products by the Asymptotics of Finite Products
Spreafico, M
;
2021
Abstract
We introduce a regularisation process for a sequence of real numbers computing the constant coefficient in an asymptotic expansion associated with the original sequence. We give explicit computations in several interesting particular cases. This approach originates in a geometric context.
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