Computer Algebra Algorithms for Modular Functions

Beschreibung

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.

Zeitraum	16 Sep. 2015
Ereignistitel	Workshop on Symbolic Combinatorics and Computational Differential Algebra, Part of the Thematic Program on Computer Algebra
Veranstaltungstyp	Konferenz
Ort	KanadaAuf Karte anzeigen