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 you were …
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 $\pi (n)$, …
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 Dirichlet …
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 manipulation. And note …
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
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 Source Book), which (among …
Does the equation $1 + 2 + 3 + \dots = -\frac {1} {12}$ have a natural ...
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_ {n = 1}^ …
Identifying Ramanujan's integer solutions of $x^3+y^3+z^3=1
Jun 29, 2013 · My question is whether, knowing Elkies' formulas, there's an easy way to come up with Ramanujan's solutions without assuming any other formulas of Ramanujan's. Better yet, is there a …
Explicit constructions of Ramanujan graphs - MathOverflow
Jan 10, 2023 · Here, the term "inexplicit" means that we can point to particular graphs and show that they are Ramanujan, but there is no known algorithm to construct these graphs (e.g. if the graphs …
fa.functional analysis - Ramanujan's Master Formula: A proof and ...
Dec 21, 2020 · Ramanujan's Master Formula: A proof and relation to umbral calculus Ask Question Asked 5 years ago Modified 1 year, 7 months ago