On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function

Laurent Bétermin

We consider a deformation $E_{L,\Lambda }^{(m)}(it)$ of the Dedekind eta function depending on two $d$-dimensional simple lattices $(L,\Lambda )$ and two parameters $(m,t)\in (0,\infty )$, initia…