mathematics

Ramachandran Balasubramanian

Ramachandran Balasubramanian is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ramachandran Balasubramanian rather than just read about it. In short: Ramachandran Balasubramanian (born 15 March 1951) is an Indian mathematician and was Director of the Institute of Mathematical Sciences in Chennai, India. He is known for his work in number theory, which includes settling the final g(4) case of Waring's problem in 1986.

Key takeaways

Ramachandran Balasubramanian belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Ramachandran Balasubramanian to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Ramachandran Balasubramanian from memory before moving on to harder problems.

Reference excerpt

Ramachandran Balasubramanian (born 15 March 1951) is an Indian mathematician and was Director of the Institute of Mathematical Sciences in Chennai, India. He is known for his work in number theory, which includes settling the final g(4) case of Waring's problem in 1986. He is also known for his work in Cryptography which includes his famous work with Koblitz, now commonly called the Balu-Koblitz Theorem. His work in Additive Combinatorics includes his two page paper on additive complements of squares, hence disproving a long standing conjecture of Erdős. His works on moments of Riemann zeta function is highly appreciated and he was a plenary speaker from India at ICM in 2010. He was a visiting scholar at the Institute for Advanced Study in 1980-81. He was a student of K. Ramachandra, a lifelong collaborator of Jean-Marc Deshouillers, and co-authored stellar mathematicians like Ram Murty, Kumar Murty, Heath-Brown, N. Koblitz and F. Luca. He was the founder and remains a member of the advisory board of the Hardy-Ramanujan Journal.

Awards and honours He has received the following awards:

The Shanti Swarup Bhatnagar Prize for Science and Technology in 1990. The French government's Ordre National du Mérite for "furthering Indo-French cooperation in the field of mathematics" in 2003. The Padma Shri, the fourth highest civilian award in India, in 2006. Fellow of the American Mathematical Society, 2012. The Lifetime Achievement Award, 2013 awarded by Manmohan Singh, the Prime Minister of India. Fellow of the Indian National Science Academy (1988)

References

External links R. Balasubramian's homepage His CV

Illustrations

Worked examples

Example 1 — a first encounter with Ramachandran Balasubramanian

Start with the simplest possible case. Write down what Ramachandran Balasubramanian claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ramachandran Balasubramanian before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ramachandran Balasubramanian ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ramachandran Balasubramanian

In research: Ramachandran Balasubramanian appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Ramachandran Balasubramanian in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Ramachandran Balasubramanian is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 20th-century Indian mathematicians, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Ramachandran Balasubramanian outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ramachandran Balasubramanian in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Ramachandran Balasubramanian means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Ramachandran Balasubramanian out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ramachandran Balasubramanian in simple terms?

Why does Ramachandran Balasubramanian matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ramachandran Balasubramanian?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ramachandran Balasubramanian.