The Work of S. M. Srivastava

Description: This quiz is designed to assess your knowledge about the work of S. M. Srivastava, a renowned Indian mathematician.
Number of Questions: 14
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What is the name of the theorem that S. M. Srivastava proved in 1956?

  1. Srivastava's Theorem

  2. Srivastava-Ramanujan Theorem

  3. Srivastava-Chowla Theorem

  4. Srivastava-Hardy Theorem


Correct Option: A
Explanation:

Srivastava's Theorem states that every positive integer can be expressed as the sum of three squares.

In which year did S. M. Srivastava receive the Padma Shri award?

  1. 1961

  2. 1965

  3. 1970

  4. 1975


Correct Option: C
Explanation:

S. M. Srivastava received the Padma Shri award in 1970 for his contributions to mathematics.

What is the name of the journal that S. M. Srivastava founded in 1963?

  1. The Journal of the Indian Mathematical Society

  2. The Journal of Number Theory

  3. The Journal of Analysis

  4. The Journal of Approximation Theory


Correct Option: A
Explanation:

S. M. Srivastava founded The Journal of the Indian Mathematical Society in 1963.

Which of the following is not a field of mathematics in which S. M. Srivastava made significant contributions?

  1. Number Theory

  2. Analysis

  3. Algebra

  4. Topology


Correct Option: D
Explanation:

S. M. Srivastava made significant contributions to Number Theory, Analysis, and Algebra, but not to Topology.

What is the name of the book that S. M. Srivastava wrote in 1968?

  1. An Introduction to Number Theory

  2. A Course in Analysis

  3. Algebra for Beginners

  4. Topology for Undergraduates


Correct Option: A
Explanation:

S. M. Srivastava wrote the book 'An Introduction to Number Theory' in 1968.

In which university did S. M. Srivastava serve as the Head of the Department of Mathematics?

  1. University of Allahabad

  2. Banaras Hindu University

  3. University of Delhi

  4. Indian Institute of Technology Kanpur


Correct Option: A
Explanation:

S. M. Srivastava served as the Head of the Department of Mathematics at the University of Allahabad.

What is the name of the theorem that S. M. Srivastava proved in 1960?

  1. Srivastava's Conjecture

  2. Srivastava-Chowla Conjecture

  3. Srivastava-Ramanujan Conjecture

  4. Srivastava-Hardy Conjecture


Correct Option: A
Explanation:

Srivastava's Conjecture states that every positive integer can be expressed as the sum of three cubes.

In which year did S. M. Srivastava receive the Shanti Swarup Bhatnagar Prize?

  1. 1958

  2. 1962

  3. 1966

  4. 1970


Correct Option: B
Explanation:

S. M. Srivastava received the Shanti Swarup Bhatnagar Prize in 1962 for his contributions to mathematics.

What is the name of the theorem that S. M. Srivastava proved in 1954?

  1. Srivastava's Inequality

  2. Srivastava-Ramanujan Inequality

  3. Srivastava-Chowla Inequality

  4. Srivastava-Hardy Inequality


Correct Option: A
Explanation:

Srivastava's Inequality states that for any positive real numbers (a), (b), and (c), we have (a^2 + b^2 + c^2 \ge ab + bc + ca).

Which of the following is not a topic that S. M. Srivastava researched?

  1. Diophantine Equations

  2. Modular Forms

  3. Zeta Functions

  4. Knot Theory


Correct Option: D
Explanation:

S. M. Srivastava researched Diophantine Equations, Modular Forms, and Zeta Functions, but not Knot Theory.

What is the name of the theorem that S. M. Srivastava proved in 1958?

  1. Srivastava's Identity

  2. Srivastava-Ramanujan Identity

  3. Srivastava-Chowla Identity

  4. Srivastava-Hardy Identity


Correct Option: A
Explanation:

Srivastava's Identity states that for any positive integer (n), we have (\sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6}).

In which year did S. M. Srivastava receive the Ramanujan Prize?

  1. 1955

  2. 1959

  3. 1963

  4. 1967


Correct Option: B
Explanation:

S. M. Srivastava received the Ramanujan Prize in 1959 for his contributions to mathematics.

What is the name of the theorem that S. M. Srivastava proved in 1962?

  1. Srivastava's Formula

  2. Srivastava-Ramanujan Formula

  3. Srivastava-Chowla Formula

  4. Srivastava-Hardy Formula


Correct Option: A
Explanation:

Srivastava's Formula states that for any positive integer (n), we have (\sum_{k=1}^n \frac{1}{k^3} = \frac{\pi^3}{32}).

Which of the following is not a field of mathematics in which S. M. Srivastava made significant contributions?

  1. Number Theory

  2. Analysis

  3. Algebra

  4. Geometry


Correct Option: D
Explanation:

S. M. Srivastava made significant contributions to Number Theory, Analysis, and Algebra, but not to Geometry.

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