This paper is the final product of a geometric investigation of the Dirichletwalk underlying the Riemann zeta function. We propose to view the accumulation of the finite discrete sum as a Dirichlet walk and study how this sum accumulates at zeta zeros and away from zeros. The central question is whether the center of mass of the walk develops residualwobble or remains in geometric equilibrium. Using Euler--Maclaurin to define the asymptotic bounds governing allowable wobble,we analyze the difference between zero and nonzero points through the dynamics ofcenter-of-mass accumulation.
Aviad Shetrit (Sat,) studied this question.
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