Computer Algebra Algorithms for Modular Functions

Description

The talk reports on a joint project with Silviu Radu. Its goal is to develop computer algebra algorithms to assist mathematical research in connection with modular functions. A major application is a new unified approach to the celebrated Ramanujan congruences for partition numbers modulo powers of 5, 7, and 11. The algorithms presented in the talk are also relevant outside this application domain, for instance, to decide subalgebra membership or to construct algebraic relations for functions on Riemann surfaces.

Period	16 Sept 2015
Event title	Workshop on Symbolic Combinatorics and Computational Differential Algebra, Part of the Thematic Program on Computer Algebra
Event type	Conference
Location	CanadaShow on map