  We begin with modular form periods, a focal point of several Yuri Manin's
works. The similarity is discussed between the corresponding zeta-polynomials
and superpolynomials of algebraic links, closely related to Khovanov-Rozansky
polynomials. We focus on DAHA superpolynomials and motivic ones, defined via
compactified Jacobians of plane curve singularities and their counterparts in
arbitrary ranks; the non-unibranch construction is new. They conjecturally
coincide with the corresponding generalizations of L-functions and satisfy the
Riemann Hypothesis in some sectors of the parameters. Presumably, the motivic
ones an be interpreted as certain partition functions of Landau-Ginzburg models
associated with plane curve singularities; RH for them is remarkably similar to
the Lee-Yang circle theorem for Ising models. A q,t-deformation of the Witten
index is obtained as an application. General perspectives of the motivic theory
of isolated curve and surface singularities are discussed, including possible
implications in number theory. Also, we introduce super-analogs of
$\rho_{ab}$-invariants and discuss super-deformations of the Riemann's zeta.
Among other topics: Verlinde algebras, and the topological vertex.
