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THE VIDEO SHELF · divergent series

Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.

Mathologer examines how identities like 1+2+3+... = -1/12 arise in Ramanujan's work, starting from his 1913 letter to Hardy. The video explains the rules for summing infinite series and why such results are meaningful but not naive sums.

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Why HN readers recommended it

Recommended as a careful, honest treatment of the -1/12 claim, often preferred over flashier videos.

This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.

Video & recommendation details

Creator / channel
Mathologer
Topic
divergent series
Format
explainer
Level
intermediate
HN recommenders in dataset
3
HN mentions in dataset
8
Recommendation years in dataset
2016–2024

These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.

From the original HN conversations

Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.

  • It's more complicated. The lie is using the same symbol for the usual summation and the extended version of the summations. We all agree about the value of a finite summation. We all agree about the value of a sum when the summation is absolutely …

    gus_massa on Hacker News · 2019-08
    In The Ramanujan Summation: 1 and 2 and 3 and ⋯ + ∞ = -1/12

  • Burkard Polster's (Mathologer) videos on the subject are probably going to be more useful than Numberphile. Numberphile merely presents a trick; Mathologer points out both that it's patent nonsense [0] and that it's useful patent nonsense [1]. [0] [LINK] [1] [VIDEO]

    stan_rogers on Hacker News · 2020-02
    In Ramanujan Surprises Again (2015)

  • It is weird, very weird. A very nice explanation of the proof is in a video by Mathologer " Ramanujan: Making sense of 1+2+3+... = -1/12 and Co. " [VIDEO] [spoiler alert] You can extend finite summations to infinite summations. The first extensions are nice …

    gus_massa on Hacker News · 2020-11
    In Ramanujan's Easiest Formula

Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.

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