Convergence near the boundary


In the above pdf, I consider in a unified manner the question of convergence of a power series on the boundary of their radius of convergence, and of Dirichlet series on the boundary of their abscissa of convergence. I end with an application to L(1,\chi), where \chi is the nontrivial multiplicative character modulo 4.

This was motivated by these notes of Keith Conrad and a discussion with Kyle Pratt.

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