[D66] Analytic Continuation of Divergent Series: A Brief Exploration

[René Oudeweg]

[new paper!]


Analytic Continuation of Divergent Series: A Brief Exploration
Discussion Summary
January 2, 2026

Abstract
We explore several famous infinite series equivalences and investigate 
the analytic continuation of divergent series through the Riemann zeta 
function. In particular, we examine the harmonic series and the series 
of odd and even positive integers, demonstrating how regularization 
techniques assign finite values to these otherwise divergent
sums.

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