We construct a continuous nowhere monotone function that depends on infinitely many parameters such the derivative of this is equal to zero almost everywhere (in sense Lebesgue measure). It shown well-defined and monotone. Its differential properties are analyzed, massiveness level sets studied, set maxima minima its structural variational determined.

I point out that the thermal one-point functions of a pair relevant operators in massive free QFTs, odd dimensions and presence an imaginary chemical potential for U(1) global charge, are given by certain classes single-valued polylogarithms. This result is verified direct calculation using OPE. The complex argument polylogarithms parametrize two-dimensional subspace deformations generalised CF...