The talk will describe the author's attempts to find a similar formula for plane partitions and other number-theoretic functions. Generalized Dedekind sums occur in the formulas.
Many formulas give very good numerical results but seem very difficult to prove.
Some unsolved problems are mentioned. Gert Almkvist started studying mathematics in Stockholm and wrote two papers under G.Borg on differential equations in Hilbert space. Then he got a PhD in 1966 in Berkeley with a thesis on category theory under supervision of Hochschild. After several years in algebraic K-theory and invariant theory he converted to analytic number theory during a year at University of Illinois.