Thursday, April 16, 2020

A Straight Road Ahead

I am not going to break my head on complex analysis, complex functions, elliptic functions and other such functions which create pain and is likely to give frustrations.
Instead I plan to focus on Arithmetic Geometric Mean (agm).  Studies on agm was done by Lagrange ( admired deeply by Stephen Hawking) and Carl Gauss.
I believe studies in agm is sufficient and super-imposes complex analysis, complex functions and elliptic functions.(citation needed)
Now i (complex number) is a great invention. But 0 to 1 journey is itself tough. There is theta function. But people want to delve deeper.
They go about 0, 1,i in their minds.
My plan is :-
1. 1 into 1/1, 2 into 1/2, 3 into 1/3 . . . and so on.
2. agm.

I also wish to state this.
I have published a paper only when Left hand side expression equals the Right hand side expression. In the rational number series too the ceiling(LHS)=ceiling(RHS) or the floor(LHS)=floor(RHS). All the 4 papers LHS equals RHS. In future also I shall apply for publishing when LHS equals RHS. Or the ceiling. Or the floor. That is a promise and showing respect to Ramanujan. And the efforts Ramanujan took. And the willingness to go to any heights for expressions. Ramanujan is certainly not a journal of mathematics. He was quite more.

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