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We study the Fourier coefficients b(k,T) of the net baryon number density instrongly interacting matter at finite temperature. We show that singularitiesin the complex chemical potential plane connected with phase transitions arereflected in the asymptotic behavior of the coefficients at large k. We derivethe scaling properties of b(k,T) near a second order phase transition in theO(4) and Z(2) universality classes. The impact of first order and crossovertransitions is also examined. The scaling properties of b(k,T) are linked tothe QCD phase diagram in the temperature and complex chemical potential plane.

Fourier coefficients of the net baryon number density and their scaling properties near a phase transition