Primes
Euler
Euler multiplied (prime number)/(nearest multiple of 4) as a series and declared it was pi by 4.
Euler took the Riemann Zeta function of s = 1 and made the term in the denominator if prime, -ve or +ve depending on a logic and declared it was pi by 4.
He made 1/(1- prime to the power -s) multiplication series and declared it as Riemann zeta function.
I felt the first statement 15%; the second 15%; and the third 20%. But no pen. Just thinking in the direction.
Euler-Mascheroni constant
Euler
Euler was able to express the real meaning of gamma and gave two methods (at least) for its calculation.
I felt 1%.
Euler did much much more. He was a genius machine.
Euler
Euler multiplied (prime number)/(nearest multiple of 4) as a series and declared it was pi by 4.
Euler took the Riemann Zeta function of s = 1 and made the term in the denominator if prime, -ve or +ve depending on a logic and declared it was pi by 4.
He made 1/(1- prime to the power -s) multiplication series and declared it as Riemann zeta function.
I felt the first statement 15%; the second 15%; and the third 20%. But no pen. Just thinking in the direction.
Euler-Mascheroni constant
Euler
Euler was able to express the real meaning of gamma and gave two methods (at least) for its calculation.
I felt 1%.
Euler did much much more. He was a genius machine.
Not sure if I understand Euler, but wishing you and your family a very happy new year :)
ReplyDeleteDestination Infinity
It is true that I understand a little.
ReplyDelete