Hilbert's tenth problem for rings of exponential polynomials

Abstract: After being negatively solved by Davis, Putnam, Robinson, and Matijasevich in 1970, Hilbert’s tenth problem has been extended to a number of other rings. One of the main natural open cases is that of the ring of complex entire functions in one variable. After reviewing some literature around this problem, in this talk I will outline a negative solution of the analogue of Hilbert's tenth problem for the ring of exponential polynomials, approaching the case of entire functions. This is joint work with D. Chompitaki, H. Pasten, T. Pheidas, and X. Vidaux.

logicnumber theory

Audience: researchers in the topic

Online logic seminar

Series comments: Description: Seminar on all areas of logic