Euler's divergent series and an elementary model in Statistical Physics
Abstract
We discuss the multiple integral of a multivariate exponential taken with respect either to the Lebesgue measure or to the discrete uniform Bernoulli measure. In the first case the integral is linked to Euler's everywhere divergent power series and its generalizations, while in the second case the integral is linked to a one-dimensional model of spin systems as encountered in physics.
Keywords
Euler divergent series, Abel-Plana Formula, Stirling numbers, spin system, Ising chain
DOI: https://doi.org/10.26493/1855-3974.832.987
ISSN: 1855-3974
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