On a Tauberian Theorem of Ingham and Euler-Maclaurin Summation

10 Jan 2020 Bringmann Kathrin Jennings-Shaffer Chris Mahlburg Karl

We discuss two theorems in analytic number theory and combinatory analysis that have seen increased use in recent years. A corollary to a Tauberian theorem of Ingham allows one to quickly prove asymptotic formulas for arithmetic sequences, so long as the corresponding generating function exhibits exponential growth of a certain form near its radius of convergence... (read more)

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