the most famous Ramanujan sum 1+2+3+...=-1/12

What is the sum of all the natural numbers? Isn't it just infinity or is it really -1/12? Here we will see 1+2+3+... "will be" -1/12 if you use the Ramanujan summation, which is a way to assign a value to a divergent series.
Check out Bose Integral: Zeta function in terms of Gamma funct...
Check out NOT -1/12, Not -1/12

Sum of 1/n^2 by a Gucci Integral: a spectacular solution to the Basel p...
Sum of n^2, how Ramanujan did 1^2+2^2+3^2+...=0
Ramanujan Summation: https://en.wikipedia.org/wiki/Ramanuj...
Ramanujan summation in detail: https://hal.univ-cotedazur.fr/hal-011...
The sum of all natural numbers:
by 3b1b: But what is the Riemann zeta function...
by Numberphile: ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... =...
by Mathologer: Ramanujan: Making sense of 1+2+3+... ...

🛍  Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
💪 Get my math notes by becoming a patron:  Patreon: blackpenredpen
#math #mathforfun #blackpenredpen #calculus #ramanujan

• #education
• #blackpenredpen
• #math_for_fun
• #calculus_tutorial
• #sum_of_all_natural_numbers
• #112
• #ramanujan_summation
• #bose_integral
• #riemann_zeta_function
• #analytic_continuation
• #123