Mathematical constants

Ramanujan's constant

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What is Hardy Ramanujan Number? || #YTShorts || Don't Memorise

Ramanujan was fascinated with numbers and made striking contributions to the branch of mathematics. One of which is the Hardy-Ramanujan number. Want to know what this number is? Watch this video- Don’t Memorise brings learning to life through its captivating educational videos. To Know Mo

From playlist Shorts

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163 and Ramanujan Constant - Numberphile

Why does Alex Clark, from the University of Leicester, have a strange fascination with 163? More links & stuff in full description below ↓↓↓ Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke. NUMBERPHILE Website:

From playlist Prime Numbers on Numberphile

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Ramanujan's Pi Formula

The second video in a series about Ramanujan. Continuing the biography and a look at another of Ramanujan's formulas. This one involves Ramanujan's pi formula.

From playlist My Maths Videos

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

The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan i

From playlist Recent videos

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Ramanujan graphs of every degree - Daniel Spielman

Daniel Spielman Yale University November 6, 2014 We explain what Ramanujan graphs are, and prove that there exist infinite families of bipartite Ramanujan graphs of every degree. Our proof follows a plan suggested by Bilu and Linial, and exploits a proof of a conjecture of theirs about li

From playlist Mathematics

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Winnie Li: Towers of Ramanujan graphs

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Women at CIRM

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Daniel Spielman - Ramanujan Graphs and Free Probability

March 25, 2016 - This talk was part of the Minerva Lecture Series We use the method of interlacing polynomials and a finite dimensional analog of free probability to prove the existence of bipartite Ramanujan graphs of every degree and number of vertices. No prior knowledge of Ramanujan gr

From playlist Minerva Lectures - Daniel Spielman

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All Numbers Are Interesting

Celebrating 1729 subscribers, the taxicab story of GH Hardy and Ramanujan, and proving all numbers are interesting - all under 2 minutes 40, oh yes. A fact for nearly every number up to 10 000 http://www2.stetson.edu/~efriedma/numbers.html Thank you to experthowto for sending this to me

From playlist My Maths Videos

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Alexander Lubotzky - From Ramanujan graphs to Ramanujan complexes

December 17, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. Ramanujan graphs has been defined and constructed in the 80's by Lubotzky-Phillips-Sarnak and by Margulis. In recent years a high dimensional theory of expanders is emer

From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday

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Ramanujan Summation

The third video in a series about Ramanujan.This one is about Ramanujan Summation. Here's the wikipedia page for further reading: https://en.wikipedia.org/wiki/Ramanujan_summation Euler-Maclaurin Formula https://en.wikipedia.org/wiki/Euler%E2%80%93Maclaurin_formula --------- Here is a

From playlist My Maths Videos

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Partitions, Dyson, and Ramanujan - George Andrews

George Andrews The Pennsylvania State University September 27, 2013 More videos on http://video.ias.edu

From playlist Dreams of Earth and Sky

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High dimensional expanders – Alexander Lubotzky – ICM2018

Plenary Lecture 13 High dimensional expanders Alexander Lubotzky Abstract: Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways. In the last decad

From playlist Plenary Lectures

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High Dimensional Expanders and Ramanujan Complexes - Alexander Lubotzky

Computer Science/Discrete Mathematics Seminar II Topic: High Dimensional Expanders and Ramanujan Complexes Speaker: Alexander Lubotzky Affiliation: Hebrew University Date: December 8, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program

VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244 Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf Delta's home page in the LMFDB: https://www.lmfdb.org/

From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)

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The finite part of infinity (ONLINE) by Joseph Samuel

Vigyan Adda The finite part of infinity (ONLINE) Speaker: Joseph Samuel (RRI & ICTS-TIFR, Bengaluru) When: 4:30 pm to 6:00 pm Sunday, 24 October 2021 Where: Livestream via the ICTS YouTube channel Abstract: - Ramanujan's notebooks contain the equation 1+2+3....= - 1/12. While this see

From playlist Vigyan Adda

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The Generalized Ramanujan Conjectures and Applications - Lecture 1 by Peter Sarnak

Lecture 1: The Generalized Ramanujan Conjectures Abstract: One of the central problems in the modern theory of automorphic forms is the Generalized Ramanujan Conjecture.We review the development and formulation of these conjectures as well as recent progress. While the general Conjecture

From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak

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13. Sparse regularity and the Green-Tao theorem

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX After discussion of Ramanujan graphs, Prof. Zhao discusse

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Values of L-Functions and Modular Forms - Chris Skinner

Chris Skinner Princeton University; Member, School of Mathematics October 25, 2010 This will be an introduction to special value formulas for L-functions and especially the uses of modular forms in establishing some of them -- beginning with the values of the Riemann zeta function at nega

From playlist Mathematics

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Heegner number