Mathematical Objectives

• To defend the following series:-

1. 1 + 1/4*2² + 1/3² + 1/4*4² + 1/5² + 1/4*6² + . . . . . . .
2. 1 + 1/2*2 + 1/3 + 1/2*4 + 1/5 + 1/2*6 + . . . . . . 
3. 1/2*1 + 1/4*2 + 1/6*3 + 1/8*4 + 1/10*5 + 1/12*6 + . . . . . . . 
4. 1 - 1/2*3 + 1/5 - 1/2*7 + 1/9 - 1/2*11 + 1/13 + . . . . . . .

• To get series expressions for √2, √3, √5, √6, √7, √8 & √10.
• Work on Ramanujan mathematics.
• 1) leads to π/√6 to two places. 2) leads to π to one place. 3) leads to √2/√3 to one place. 4) leads to √2 to two places. (I have used Microsoft (Bill Gates / Satya Nadella) Excel).
• 4) is the #PythaShastri & Madhava of Sangamagrama mix.
• (I have used minus at certain regular places in the some of the series-es)
• Divergent series are automatically rejected. #PythaShastri & Madhava of Sangamagrama mix series is rejected because it diverges. The 3) converges. It may be accepted. But no new constant here. There is nature, however; is what I claim. The result seems to be √2/√3, to me. The 1) and 2) steps are not recognised, though they are claimed by me to follow string theory and follows Basel Problem The topic is considered over for arguments and advised for mental peace initiatives.
• There are geniuses and there is Euler. Amazing he was! To treat prime number as zeros and treat adjacent numbers as positives and negatives.
• Madhava of Sangamagrama is easily beaten by Euler.
• I am an Euler, perhaps and all is well.
• Ramanujan worked real hard on mathematics and was not scared of mathematical terms. His formula on pi was beaten only by Chudounsky brothers. He did mock theta functions. It is tough. It is cruel. And demanding. Fourier is much easy.