The theory of Drinfeld modules, pioneered by Anderson and Thakur in the 90’s, was conceived as a possible analogue to the theory of complex elliptic curves in finite characteristic, where the role of the ring of integers $\\mathbb{Z}$ is assumed by the ring of regular functions of some curve $X\/F_q$. We will introduce the analogues of the real and complex numbers, of the period lattices, and of the exponential map in this context.<\/p>\n\n\n\n
Two novel objects – special functions and Pellarin L-functions – arise in this theory, which have no parallel in characteristic zero, and can be conceived as interpolations of Gauss sums and Dirichlet L-functions, respectively; we will present some results about their relation, and compare them to the classical functional equation for Dirichlet L-functions.<\/p>\n","protected":false},"excerpt":{"rendered":"
The theory of Drinfeld modules, pioneered by Anderson and Thakur in the 90’s, was conceived as a possible analogue to…<\/p>\n