Ramanujan

A collection of 32 posts

Analytic Number Theory

Some results named after Godfrey Harold Hardy

1. Hardy-Littlewood conjecture for twin primes  Let denote the number of primes such that is also prime. Define the twin prime constant as then, . 2. Hardy-Littlewood circle method  In mathematics, the Hardy-Littlewood circle method is a technique of analytic number theory. It is named after G. H. Hardy and J.

1729

On Ramanujan’s 133rd Birth Anniversary: Famous constants related to Srinivasa Ramanujan

1. Almost Integer (Ramanujan’s Constant)  Ramanujan’s constant is the transcendental number , which is an almost integer, in that it is very close to an integer: This number was discovered in 1859 by the mathematician Charles Hermite. In a 1975 April Fools Day article in the Scientific American magazine,

Circle Method

102 years of the circle method

Dr. Kaneenika Sinha of IISER Pune gave an introductory talk on the circle method in number theory at a webinar organized by Gonit Sora. The full video of the talk is available in our YouTube channel as well as below. To register for the upcoming events, please submit the form

Euler

Ramanujan's Tau Function and Modular forms

Prof. Sujatha Ramdorai gave a talk in the webinar series of Gonit Sora on 28th August 2020. She spoke about ‘Ramanujan’s Tau Function and Modular forms’. The slides of her talk can be downloaded here. The full video of the talk is available in our YouTube channel as well

Gaurav Bhatnagar

Andrews’ approach to conjecture the Rogers–Ramanujan identities

Gonit Sora organized a webinar on 16 August 2020, which was delivered by Dr. Gaurav Bhatnagar (Ashoka University). The full video of the talk is available in our YouTube channel as well as below.

Euclid

5 Good Books To Read On the History of Mathematics

Mathematics, like other forms of art and intellect, has had a long history, since the first numerical writing in years’ past. Although math has a long track record over time, its history is not taught enough (or not taught at at) in today’s schools. School children, nowadays, don’t

Genius

The blackened coarse elbow of Ramanujan

Almost every reader would probably know about the great mathematicians Srinivasa Ramanujan (1887 – 1920). Here we would like to tell the story of an incident which we believe not many have heard of, but nonetheless it has a very inspiring morale behind it. Ramanujan left for his heavenly abode at

Andrew Wiles

Digital Communication and Scientific Progress: The Issues Underneath the Surface

The major scientific and mathematical [1] progresses that are made, are first reported in academic journals, and if something catchy and news-worthy appears then it captures the public imagination via numerous blogs, news articles and social media shares. But, the process of discovery or invention has many intermediate steps, the

National Mathematics Day

National Mathematics Day in India: Challenges, Delivery and Roadmap

In 2012, the then Indian Prime Minister Dr. Manmohan Singh declared it to be the National Year of Mathematics and every year December 22nd, the birthday of the Indian mathematical genius S. Ramanujan to be celebrated as National Mathematics Day in India. It has been now 5 years since the

Gyanome

Mathematical Legacy of S. Ramanujan: V. Kumar Murty

Gyanome Foundation did a conversation with Prof. V. Kuamr Murty on the occasion of S. Ramanujan’s birth anniversary on 22nd December, 2016. The video is shared below. Prof. Murty speaks about Ramanujan, his life and his work in this video.

Analytic Number Theory

2016 SASTRA Ramanujan Prize announced

The 2016 SASTRA Ramanujan Prize was announced recently, this year the prize was awarded jointly to Kaisa Matomaki (University of Turku, Finland) and Maksym Radziwill (McGill University, Canada and Rutgers University, the US) for their “deep and far reaching contributions to several important problems in diverse areas of number theory

Dev Patel

The Man Who Knew Infinity: Movie Review

It is very difficult to write an objective review when the subject is a movie based on the biography of Srinivasa Ramanujan. Nonetheless, I shall try to give an overview of what the movie has to offer. This is a good movie; it is not the best movie based on

Apery's Constant

Apery's constant

Apery’s constant is defined as , where represents the Euler’s zeta function. First lets us define the zeta function. Zeta function is defined as where is a complex number. The story of Apery’s constant began with the famous Basel problem and Euler’s solution of it. At the

Dilip D'Souza

Ramanujan and More: A conversation with Ken Ono

As part of the 2015 National Mathematics Day celebration, Gyanome did a conversation with Prof. Ken Ono which we share below. The opening remarks were given by Prof. Sujatha Ramdorai (advisor of Gonit Sora) and the questions were posed by Dilip D’Souza. Here, Prof. Ono speaks about his interest

Abel

Anti-Dühring: 1+2+3+4+…

Anti-Dühring is a book by Friedrich Engels published in 1878. It is a defense of Marxism from Eugen Dühring’s vision of socialism. It contains interesting scientific references as well, which is the reason I am putting a spotlight on it. First of all, it would be polite to explain:

14 March

Pi Day: Once-in-a-century Celebration (2015)

Exactly a month after the Valentine’s Day, there comes an event which is not less than Valentine’s Day for many people around the world. Those are the math-lovers. Very popularly known as the Pi Day, this day celebrates the mathematical constant . , an irrational number cannot be written as

Interviews

In Conversation with Prof. Ken Ono

As part of the National Mathematics Day 2014 on 22nd December, Gonit Sora (https://gonitsora.com) in association with Sciensation Media (Pune) and Gyanome.org organised a mini web conference wherein various eminent mathematicians from India and abroad shared their perspectives on mathematics. For Gonit Sora, Manjil Saikia had a

2014

Ambat Vijayakumar: Ramanujan and his legacy

As part of the National Mathematics Day, we (Gonit Sora, Gyanome and Sciensation Media) organised a series of talks by eminent mathematicians. The other videos have been posted here. This is the final video of that series. Ambat Vijayakumar is a Professor in the Department of Mathematics ,Cochin University of

Chandan Singh Dalawat

Chandan Singh Dalawat: One Hundred years of Ramanujan's Tau

As part of the National Mathematics Day, we (Gonit Sora, Gyanome and Sciensation Media) organised a series of talks by eminent mathematicians. The other videos have been posted here. Chandan Singh Dalawat grew up in rural Rajasthan and went to Sainik School, Chittorgarh. He did his doctorate in pure mathematics

FRS

On Ramanujan and personal reminiscences by M. S. Raghunathan

As part of the National Mathematics Day, we (Gonit Sora, Gyanome and Sciensation Media) organised a series of talks by eminent mathematicians. The first two have been posted here. Professor M. S. Raghunathan is currently the Head of the National Centre for Mathematics, Indian Institute of Technology, Mumbai. Formerly, he

elliptic curves

The unreasonable ubiquity of mathematics: Sujatha Ramdorai

As part of the National Mathematics Day, we (Gonit Sora, Gyanome and Sciensation Media) organised a series of talks by eminent mathematicians. Here we have a talk by Prof. Sujatha Ramdorai. Image Source : Shutterstock Prof. Sujatha Ramdorai was a professor of mathematics at TIFR, Mumbai and currently holds a Canada

Ken Ono

National Mathematics Day: Conversation with Prof. Ken Ono

On the occasion of National Mathematics Day 2014, we had a conversation with Prof. Ken Ono, Professor of Mathematics at Emory University, USA. Prof. Ono is a world renowned number theorist and is an expert on the work of Ramanujan. For Gonit Sora, Manjil P. Saikia took part in the

National Mathematics Day

National Mathematics Day

Exactly three years ago, on 22nd of December 2011 the then PM of India, Dr. Manmohan Singh announced in a major event at the University of Madras that 22nd of December would be celebrated as National Mathematics Day in India and 2012 as National Mathematics Year. This announcement came on

Bela Bollobas

Book Review: Littlewood's Miscellany

Littlewood’s Micellany There are books written by mathematicians for mathematicians, and then there are books by mathematicians written for non-mathematicians. But there is another category in between of books written by mathematicians intended for both the mathematician and the non-mathematician. Littlewood’s Miscellany is one such book. The book

Ramanujan

ৰামানুজন - গণিতজ্ঞ আৰু মানুহজন

মূল : এছ. ৰংগনাথন মুকলি অনুবাদ : খনীন চৌধুৰী প্ৰকাশক : অসম গণিত শিক্ষায়তন। প্ৰথম প্ৰকাশ : ১৭ জুলাই, ২০১১ সূচীপত্ৰ   অধ্যায় A –  ৰামানুজন- গণিতজ্ঞ আৰু