mathematics

Tarlok Nath Shorey

Tarlok Nath Shorey 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 Tarlok Nath Shorey rather than just read about it. In short: Tarlok Nath Shorey is an Indian mathematician who specialises in theory of numbers. He is currently a distinguished professor in the department of mathematics at IIT Bombay.

Key takeaways

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

Reference excerpt

Tarlok Nath Shorey is an Indian mathematician who specialises in theory of numbers. He is currently a distinguished professor in the department of mathematics at IIT Bombay. Previously, he worked at TIFR. He was awarded in 1987 the Shanti Swarup Bhatnagar Prize for Science and Technology, the highest science award in India, in the mathematical sciences category. Shorey has done significant work on transcendental number theory, in particular best estimates for linear forms in logarithms of algebraic numbers. He has obtained some new applications of Baker’s method to Diophantine equations and Ramanujan’s T-function. Shorey's contribution to irreducibility of Laguerre polynomials is extensive.

Selected publications Shorey, T.N. "On gaps between numbers with a large prime factor. II". Acta Arithmetica. 25 (4): 365–373. ISSN 0065-1036. Shorey, T. N.; Tijdeman, R. "On the greatest prime factor of an arithmetical progression". A Tribute to Paul Erdős. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511983917.032. Shorey, T.; Tijdeman, R. (11 August 2010). "On the greatest prime factor of an arithmetical progression. II". Acta Arithmetica. 53 (5): 499–504. ISSN 0065-1036. Retrieved 27 October 2024. Shorey, T.N.; Tijdeman, R. (1992). "On the greatest prime factor of an arithmetical progression III". In Philippon, Patrice (ed.). Approximations diophantiennes et nombres transcendants: comptes-rendus du colloque tenu au C.I.R.M de Luminy 18-22 juin 1990. Berlin ; New York: W. de Gruyter. ISBN 978-3-11-013486-5. Shorey, T.N.; Tijdeman, R. (1986). Exponential Diophantine Equations. Cambridge, England: Cambridge University Press. ISBN 978-0521268264. OCLC 13010635. Shorey, T.N. (2020). Complex Analysis with Applications to Number Theory. Singapore: Springer. ISBN 978-981-15-9096-2.

References

Further reading Tijdeman, Robert (2008). "Highlights in the Research Work of T.N. Shorey". In Saradha, N. (ed.). Diophantine Equations. New Dehli: Narosa Publishing House. ISBN 978-81-7319-898-4.

External links Indian National Science Academy database

Worked examples

Example 1 — a first encounter with Tarlok Nath Shorey

Start with the simplest possible case. Write down what Tarlok Nath Shorey 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 Tarlok Nath Shorey 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 Tarlok Nath Shorey 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 Tarlok Nath Shorey

In research: Tarlok Nath Shorey 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 Tarlok Nath Shorey 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: Tarlok Nath Shorey is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1945 births, 20th-century Indian mathematicians, Indian number theorists, so understanding it makes those chapters shorter.
In everyday life: Look for Tarlok Nath Shorey 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 Tarlok Nath Shorey in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Tarlok Nath Shorey 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 Tarlok Nath Shorey out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tarlok Nath Shorey in simple terms?

Tarlok Nath Shorey is an Indian mathematician who specialises in theory of numbers. He is currently a distinguished professor in the department of mathematics at IIT Bombay.

Why does Tarlok Nath Shorey 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 Tarlok Nath Shorey?

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 Tarlok Nath Shorey.