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summation formula

summation formula

1. Summation Formulas, from Poisson and Voronoi to the Present 5 allows us to express the left hand side of (2.3) as (2.6) X∞ n=1 f(n) = 1 2πi Z Res=σ ζ(s) Mf(s)ds σ>1. When we shift the contour of integration in this formula from Res= σ>1 to Res= −

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