About 455,000 results
Open links in new tab
  1. 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 …

  2. 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 …

  3. 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 …

  4. 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 …

  5. 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 …

  6. 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 …

  7. Ramanujan's work on the central factorial numbers

    Nov 21, 2025 · Among the references, "Ramanujan's notebooks, part 1" (edited by Bruce Berndt) is listed. Upon checking this source, I have not been able to find his work on the central …

  8. 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 4 years, 11 months ago Modified 1 year, 6 months ago

  9. The connection between the Weil conjectures and Ramanujan's …

    Apr 27, 2017 · Reference request for a proof of Ramanujan's tau conjecture As for you third question, there seems to be no relationship between Ramanujan-type conjectures and the …

  10. 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 …