Indian number theorists

Mathukumalli V. Subbarao

Mathukumalli (Matukumalli) Venkata Subbarao (May 4, 1921 – February 15, 2006) was an Indo-Canadian mathematician, specialising in number theory. He was a long-time resident of Edmonton, Alberta, Canada. Subbarao was born in the small village of Yazali, Guntur, Andhra Pradesh, India. He received his master's degree from Presidency College, Madras in 1941. He went on to complete a doctorate in functional analysis, advised by Ramaswamy S. Vaidyanathaswamy. He worked at Presidency College, Madras, Sri Venkateswara University, and the University of Missouri, before moving in 1963 to the University of Alberta, where he spent the rest of his professional career. In the 1960s Subbarao began to study the congruence properties of the partition function, p(n), which became one of his favourite problems. For example, he conjectured that if A and B are integers with 0 ≤ B < A, there are infinitely many n for which p(An+B) is even and infinitely many n for which p(An+B) is odd. Ken Ono showed that the even case is always true and that if there is one number n such that p(An+B) is odd, then there are infinitely many such numbers n. The odd case was finally settled by Silviu Radu. A more general variant of the conjecture was formulated by predicting that for any given r and m, there are infinitely many n such that p(n)= r(mod m). At the end of his life, Subbarao co-authored a book on partition theory with A.K. Agarwal and Padmavathamma. Partition theory is ubiquitous in mathematics with connections to the representation theory of the symmetric group and the general linear group, modular forms, and physics. Thus, Subbarao's conjectures, though seemingly simple, will generate fundamental research activity for years to come. He also researched special classes of divisors and the corresponding analogues of divisor functions and perfect numbers, such as those arising from the ("e-divisors") which he defined. Many other mathematicians have published papers building on his work in these subjects. A prolific collaborator, Subbarao had more than 40 joint authors (including Paul Erdős, giving him Erdős number 1). He continued producing mathematics papers into the final years of his life. He died in Edmonton at the age of 84. Subbarao was the father of Prof. Mathukumalli Vidyasagar. (Wikipedia).

Video thumbnail

How Close Are We to Replacing Humans With Robots?

A.I. advancements are making robots look more like humans. How long until they replace us? What Happens If We Give A.I. The Ability To Remember Everything? - https://www.youtube.com/watch?v=3Nq-9_SwC68 Read More: ‘AI Is Good for the World,’ Says Humanoid Robot https://www.seeker.co

From playlist How Close Are We? | Seeker

Video thumbnail

Kulagothralu Telugu Full Movie

Kulagothralu Telugu Movie Starring Akkineni Nageshwara Rao, Krishna Kumari, Relangi Venkata Ramaiah, Gummadi Venkateswara Rao, G. Varalakshmi, Mikkilineni, Ramana Reddy, Suryakantha. Directed by Kotayya Pratyagatma. Music Composed by Salur Rajeshwar Rao and produced by Anumolu Venkata Subb

From playlist Telugu Movies

Video thumbnail

Rendu Jella Seetha Telugu Full Movie | Naresh, Purnima, Pradeep | #TeluguMovies

Rendu Jella Seetha Telugu Full Length Movie Starring Naresh, Purnima, Pradeep, Subhakar, Mahalakshmi among others. Rendu Jella Seetha is a Telugu Comedy Film Directed by Jandhyala and Produced by K. Kesava Rao. Music Composed by Ramesh Naidu. #RenduJellaSeetha #TeluguFullMovies Story Beg

From playlist Telugu Movies

Video thumbnail

2021 Golden Particles Awards

Put on your fanciest outfit and join us for an evening to remember at the first annual Golden Particles, a fake award show celebrating the smallest things in nature and the biggest research efforts in particle physics over the past year. The Golden Particles was one of five presentations

From playlist Lecture Series

Video thumbnail

Family Circus Full Length Telugu Comedy Movie | Rajendra Prasad, Jagapathi Babu, Roja | #TeluguFilms

Family Circus Full Length HD Movie Starring Rajendra Prasad, Jagapathi Babu, Roja, Kanchi Kaul, Sunil among others, Directed by Teja and Produced by Sunkara Madhu, Murali. Music Composed by R.P.Patnaik. #TeluguFullMovies #FamilyCircus #TeluguComedyMovies #BestComedyFilms Subbu (Jagapathi

From playlist Telugu Movies

Video thumbnail

Karigipoyanu Karpura Veenala Song | Marana Mrudangam Movie | Chiranjeevi | Suhasini | Ilayaraja

Karigipoyanu Karpura Veenala Song from the movie Marana Mrudangam starring Chiranjeevi, Suhasini, Radha in the lead roles. Directed by Kodandi Rami Reddy. Music by Ilayaraja. For more Telugu full movies, songs, video songs, trailers : Like - https://www.facebook.com/Telugufilmnagar Subscr

From playlist Telugu Songs

Video thumbnail

Subramaniapuram - Kangal Irandal Video | James | Jai

Watch Kangal Irandal Official Song Video from the Movie Subramaniapuram Song Name - Kangal Irandal Movie - Subramaniapuram Singer - Bellie Raj & Deepa Mariam Music - James Vasanthan Lyrics - Thamarai Director - Sasi Kumar Starring - Jai, Swathi, Sasi Kumar Producer - Sasi Kumar Studio

From playlist Tamil Songs

Video thumbnail

Shwetaambara - Yodhakaa

Session 04 - Yodhakaa Song: Shwetaambara Written by Adi Shankaracharyar www.yodhakaa.com Darbuka Siva -- Percussion Pradeep Vijay -- Vocals & Slide Guitar Kalyani Nair -- Vocals Akshay Chakrapani -- Bass Guitar Sean Roldan -- Guitar

From playlist Indian Music

Video thumbnail

Where Did Dark Matter And Dark Energy Come From?

Claim your SPECIAL OFFER for MagellanTV here: https://try.magellantv.com/historyoftheuniverse. Start your free trial TODAY so you can watch Other Earths: The Search For Habitable Planets, and the rest of MagellanTV’s science collection: https://www.magellantv.com/video/other-earths-the-sea

From playlist The Entire History of the Universe

Video thumbnail

Kannukku Mai Azhagu

Song:Kannukku Mai Azhagu| Movie:Pudhiya Mugam|Singers :P.Susheela, Pudhiya Mugam is an Indian Tamil thriller film directed by Suresh Menon. It stars Vineeth, Suresh Menon and Revathi as prime characters The soundtrack had six songs and an instrumental theme composed by A. R. Rahman with

From playlist Tamil Songs

Video thumbnail

Kobbari Bondam | Full Length Telugu Movie | Rajendra Prasad, Nirosha | TeluguOne

Kobbari Bondam Full Movie : Kobbari Bondam is a Telugu comedy film, produced by K.Achi Reddy & S. V. Krishna Reddy on Manisha Films, presented by Kishore Rathi and directed by Katragadda Raviteja. The film stars Rajendra Prasad, Nirosha in the lead roles. The film recorded as Super Hit at

From playlist Telugu Movies

Video thumbnail

Saptapadi | Full Length Telugu Movie | Ravikanth, Sabita Bhamidipati | TeluguOne

Saptapadi Full Length Movie Description : This is another classical movie from Poornodaya Films and K.Viswanath. In this one the hero belongs to lower caste and he is a classical Flutist and the heroine is a classical dancer.The heroines family is an orthodox one. First she gets married to

From playlist Telugu Movies

Video thumbnail

3D Rotations in General: Rodrigues Rotation Formula and Quaternion Exponentials

In this video, we will discover how to rotate any vector through any axis by breaking up a vector into a parallel part and a perpendicular part. Then, we will use vector analysis (cross products and dot products) to derive the Rodrigues rotation formula and finish with a quaternion point o

From playlist Quaternions

Video thumbnail

Linear Algebra 3.2 Norm, Dot Product, and Distance in Rn

My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul

From playlist Linear Algebra

Video thumbnail

Graph of a linear transformation

Have you wondered what the graph of a linear transformation looks like? In this video, I prove a perhaps surprising result: T is a linear transformation if and only if its graph is a subspace! So graphs of linear transformations can only be... linear! (like lines or planes). Enjoy! Check

From playlist Linear Transformations

Video thumbnail

Geometric Algebra in 2D - Vector Projection and Reflection

We will go over a couple applications of the geometric algebra view of R^2 and learn how to project, reject, and reflect vectors. The formula we get for reflection is probably the most interesting and we'll see the form of the formula come up again and again in talk of geometric algebra. I

From playlist Math

Video thumbnail

Electrical Engineering: Ch 3: Circuit Analysis (6 of 37) Nodal Analysis w/ Current Sources: Ex. 4

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the currents of a circuits with a dependent and an independent current source using nodal analysis. Next video in this series can be seen at: https://youtu.be/c-ZXKYludbI

From playlist ELECTRICAL ENGINEERING 3 CIRCUIT ANALYSIS

Video thumbnail

O...Natana mayuri vayyari - Tik Tik Tik

Kamahassan,Madhavi

From playlist Telugu Songs

Video thumbnail

Lecture 2: Bounded Linear Operators

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=78vN4sO7FVU&list=PLUl4u3cNGP63micsJp_

From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021

Related pages

Erdős number | Perfect number | Functional analysis | Symmetric group | Mathematics | Partition function (number theory) | Paul Erdős | Divisor | General linear group | Modular arithmetic | Number theory | Divisor function