Personal tools
You are here: Home / Internal / RISC Forum / 2017 / RISC Forum

RISC Forum

Ralf Hemmecke: Dancing Samba with Ramanujan Partition Congruences
When Mar 13, 2017
from 01:30 PM to 01:45 PM
Where RISC seminar room
Attendees all@risc
Add event to calendar vCal
iCal

Ramanujan gave explicit formulas that show that for every natural number n it holds 5 | p(5n+4) and 7 | p(7n+5)  where p(n) denotes the number of partitions of n. It is also known that p(11n+6) is divisible by 11. For the case 5 and 7 simple identities are know that show divisibility explicitly. We consider the case of divisibility of p(11n+6) by 11 and show what is already known and how we improve the situation. Our identity is given in terms of Dedekind $\eta$-functions and is obtained automatically from a modification of an algorithm by Radu.

In this talk we focus on the ideas that led to the above result.

« September 2017 »
September
MoTuWeThFrSaSu
123
45678910
11121314151617
18192021222324
252627282930
Upcoming Events
RISC Forum Oct 09, 2017 01:30 PM - 01:45 PM — Seminar room castle
Previous events…
Upcoming events…