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Euler–Maclaurin vs. Poisson summation formulas
See MSE: Are the Euler-Maclaurin formula and the Poisson summation formula related?. In particular, one answer mentions the paper Butzer, P. L., Ferreira, P. J. S. G., Schmeisser, G., & Stens, R. L. (2011). The summation formulae of Euler–Maclaurin, Abel–Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis.
Euler–Maclaurin vs. Riemann–Roch
See MO: Euler-Maclaurin formula and Riemann-Roch. See also MO: Jokes in the sense of Littlewood: examples?, specifically Allen Knutson's answer.