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Contributions of Indian Mathematicians to Calculus in the 21st Century

Description: This quiz is designed to assess your knowledge about the contributions made by Indian mathematicians to the field of calculus in the 21st century.
Number of Questions: 15
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Tags: calculus indian mathematicians 21st century
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Which Indian mathematician is known for his work on the theory of differential equations?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: D
Explanation:

S. R. Srinivasa Varadhan is an Indian-American mathematician who is known for his work on the theory of differential equations, stochastic processes, and large deviations.

What is the name of the theorem that was proved by C. S. Seshadri in 1956?

  1. Seshadri's Criterion

  2. Seshadri's Conjecture

  3. Seshadri's Theorem

  4. Seshadri's Inequality


Correct Option: A
Explanation:

Seshadri's Criterion is a theorem in algebraic geometry that gives a necessary and sufficient condition for a vector bundle on a projective variety to be ample.

Which Indian mathematician is known for his work on the theory of automorphic forms?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: B
Explanation:

Harish-Chandra was an Indian-American mathematician who is known for his work on the theory of automorphic forms and representation theory.

What is the name of the conjecture that was proposed by Srinivasa Ramanujan in 1917?

  1. Ramanujan's Conjecture

  2. Ramanujan's Theorem

  3. Ramanujan's Inequality

  4. Ramanujan's Criterion


Correct Option: A
Explanation:

Ramanujan's Conjecture is a statement about the distribution of prime numbers. It was first proposed by Srinivasa Ramanujan in 1917 and was eventually proved by Pierre Deligne in 1974.

Which Indian mathematician is known for his work on the theory of modular forms?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: C
Explanation:

C. S. Seshadri is an Indian mathematician who is known for his work on the theory of modular forms and algebraic geometry.

What is the name of the theorem that was proved by S. R. Srinivasa Varadhan in 1969?

  1. Varadhan's Theorem

  2. Varadhan's Conjecture

  3. Varadhan's Inequality

  4. Varadhan's Criterion


Correct Option: A
Explanation:

Varadhan's Theorem is a result in probability theory that gives a sufficient condition for a sequence of random variables to converge to a Gaussian distribution.

Which Indian mathematician is known for his work on the theory of Lie groups?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: B
Explanation:

Harish-Chandra was an Indian-American mathematician who is known for his work on the theory of Lie groups and representation theory.

What is the name of the conjecture that was proposed by Srinivasa Ramanujan in 1916?

  1. Ramanujan's Conjecture

  2. Ramanujan's Theorem

  3. Ramanujan's Inequality

  4. Ramanujan's Criterion


Correct Option: A
Explanation:

Ramanujan's Conjecture is a statement about the asymptotic behavior of the partition function. It was first proposed by Srinivasa Ramanujan in 1916 and was eventually proved by G. H. Hardy and J. E. Littlewood in 1917.

Which Indian mathematician is known for his work on the theory of algebraic geometry?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: C
Explanation:

C. S. Seshadri is an Indian mathematician who is known for his work on the theory of algebraic geometry and modular forms.

What is the name of the theorem that was proved by S. R. Srinivasa Varadhan in 1970?

  1. Varadhan's Theorem

  2. Varadhan's Conjecture

  3. Varadhan's Inequality

  4. Varadhan's Criterion


Correct Option: A
Explanation:

Varadhan's Theorem is a result in probability theory that gives a sufficient condition for a sequence of random variables to converge to a Gaussian distribution.

Which Indian mathematician is known for his work on the theory of number theory?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: A
Explanation:

Srinivasa Ramanujan was an Indian mathematician who is known for his work on the theory of number theory, modular forms, and special functions.

What is the name of the conjecture that was proposed by Srinivasa Ramanujan in 1917?

  1. Ramanujan's Conjecture

  2. Ramanujan's Theorem

  3. Ramanujan's Inequality

  4. Ramanujan's Criterion


Correct Option: A
Explanation:

Ramanujan's Conjecture is a statement about the distribution of prime numbers. It was first proposed by Srinivasa Ramanujan in 1917 and was eventually proved by Pierre Deligne in 1974.

Which Indian mathematician is known for his work on the theory of differential equations?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: D
Explanation:

S. R. Srinivasa Varadhan is an Indian-American mathematician who is known for his work on the theory of differential equations, stochastic processes, and large deviations.

What is the name of the theorem that was proved by C. S. Seshadri in 1956?

  1. Seshadri's Criterion

  2. Seshadri's Conjecture

  3. Seshadri's Theorem

  4. Seshadri's Inequality


Correct Option: A
Explanation:

Seshadri's Criterion is a theorem in algebraic geometry that gives a necessary and sufficient condition for a vector bundle on a projective variety to be ample.

Which Indian mathematician is known for his work on the theory of automorphic forms?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. S. Seshadri

  4. S. R. Srinivasa Varadhan


Correct Option: B
Explanation:

Harish-Chandra was an Indian-American mathematician who is known for his work on the theory of automorphic forms and representation theory.

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