KnowraPoisson summation formulaLinked fromLinked fromThe 8 pages that link to Poisson summation formula, each with the reason it gives.All 8Related 6Compared with 2Circle methodRelated: It can transform sums appearing in local major-arc approximations.Exponential sumRelated: It can transform a difficult exponential sum into a more tractable dual sum.Dirac combRelated: It formalizes the dual-lattice relation behind the comb's Fourier transform.Euler–Maclaurin formulaCompared with: It connects sums and integrals through frequency space rather than endpoint derivatives.Theta functionRelated: It produces the modular transformation exchanging a lattice sum with its dual.Selberg trace formulaCompared with: It offers a simpler model of exchanging spectral frequencies for geometric repetitions.Gauss circle problemRelated: Applied to a disk, it converts lattice counting into oscillatory contributions from dual lattice points.Maryna ViazovskaRelated: It connects the lattice geometry to the Fourier inequalities required by the bound.