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 …

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 …

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 …

Jul 18, 2022 · I wish to estimate whether my above formula of Ramanujan is accidental, or it is a part of some absolute precise series for . Namely, it is very accurate and very simple. I see …

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

Dec 18, 2024 · @Zhi-WeiSun The vanishing of Ramanujan’s function, D. H. Lehmer It appears Lehmer’s interest stems from the fact that Tau function is generated from powers of Lacunary …

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 …

Ramanujan did give a modular equation for degree 29 but it was same as the one by Russell (Bruce Berndt mentioned in one of his Ramanujan Notebooks), but I think the same modular …

Sep 25, 2016 · As with the Ramanujan identity in weight 12 12, the space is of low enough dimension that if you've constructed enough forms there must be a linear relation. Why it's this …

Mar 5, 2024 · Ramanujan existed. His work was so distinctly different to Hardy's, that they could not have both risen from the same educational background. Nicolas Bourbaki once said he …