Heegner numbers are what I am interested in. But I plan not to go further. Because it is beyond me.
Ramanujan knew about Heegner numbers. And therefore my curiosity is a subset of his knowledge. That's the way I prefer to view my mathematical endeavours.
I have many ifs of past life. Opportunities that wasn't there. Opportunities that I just missed. But I'm confident. Just one correct friend and I can change for better. That's the way I feel in the present.
Ramanujan knew about Heegner numbers. And therefore my curiosity is a subset of his knowledge. That's the way I prefer to view my mathematical endeavours.
I have many ifs of past life. Opportunities that wasn't there. Opportunities that I just missed. But I'm confident. Just one correct friend and I can change for better. That's the way I feel in the present.
There are two Indians who have very high knowledge in mathematics.
ReplyDeleteOne is Ramanujan and the other is Madhava of Sangamagrama.
Using #PythaShastri method one can get series 1/2,1/3,1/4,1/5,1/6,1/7 and so on.
ReplyDeleteA cycle half of the above periodicity and sign varying every quarter cycle would be
1-1/3+1/5-1/7 . . .
The above is called arctangent series.
Madhava of Sangamagrama used the arctangent series and determined pi/4.
He also determined formula for errors in the above formula.
He was great.
As I wrote earlier in #PythaShastri complex number post, doubling and i squared (-1) terms arises.
ReplyDeleteAnd Madhava of Sangamagrama has doubled and negated to obtain pi by 4 arctangent series.The movement.
This finishes the topic.
ReplyDeleteI don't have to go further on Heegner numbers. See my post on Indo Asian hour glass.
ReplyDeleteMy concepts on complex numbers, series are clear now. I possibly think like German mathematicians. Not English or French.