The unproved formulas of Ramanujan - MathOverflow
Nov 21, 2020 · So Berndt doesn't consider the Brocard-Ramanujan problem to be a "remaining conjecture" of Ramanujan, I guess? Or maybe he was considering only "formulas" because …
What did Ramanujan get wrong? - MathOverflow
Dec 13, 2017 · Here is a mistake which was even featured in the Ramanujan movie: in his letters to Hardy, Ramanujan claimed to have found an exact formula for the prime counting function …
The Extended Riemann Hypothesis and Ramanujan's Sum
Apr 4, 2022 · Riemann Hypothesis and Ramanujan’s Sum Explanation RH: All non-trivial zeros of the Riemannian zeta-function lie on the critical line. ERH: All zeros of L-functions to complex …
ho.history overview - What were Ramanujan's standard …
Jun 20, 2020 · Ramanujan had a great skill in algebraic manipulation (much better than current symbolic software). Almost all his independent (of Hardy) work is based on algebraic …
How did Ramanujan come up with the Ramanujan summation and …
Dec 4, 2023 · 0 How did Ramanujan come up with the Ramanujan summation and is it possible to extend it to higher sets (Everything circled in red is what I'm interested in (+ the Cauchy …
The Chudnovskys' original proof of their $1/\pi$ formula
Mar 3, 2025 · I am trying to understand the famous paper by the Chudnovsky brothers, "Approximations and complex multiplication according to Ramanujan" (reprinted in Pi: A …
Additive combinatorics for Ramanujan's tau function
Jan 1, 2025 · nt.number-theory modular-forms additive-combinatorics arithmetic-functions ramanujan See similar questions with these tags.
Deligne's proof of Ramanujan's conjecture - MathOverflow
I am trying to understand Deligne's proof of the Ramanujan conjecture and more generally how one associates geometric objects (ultimately, motives) to modular forms. As the first step, which I
Ramanujan's series for $ (1/\pi)$ and modular equation of degree …
Although Ramanujan mentions a process where this expression can be obtained from a modular equation of degree $29$, but due to the complexity of Russell's modular equation of degree …
Does the equation $1 + 2 + 3 + \dots = -\frac {1} {12}$ have a …
Consider the equation $$1 + 2 + 3 + 4 + \cdots = - \frac {1} {12},$$ "proved" by Ramanujan Euler. One correct way to interpret this is that $\zeta (-1) = - \frac {1} {12},$ where $\zeta (s) = \sum_ …