Number Theory and Diophantine Equations in India
Description: This quiz covers the topic of Number Theory and Diophantine Equations in India. It includes questions on the history of number theory in India, the work of Indian mathematicians in this field, and the applications of number theory in various fields. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: number theory diophantine equations indian mathematics |
Who is considered to be the father of Indian number theory?
Which Indian mathematician is known for his work on Diophantine equations?
What is the name of the theorem that states that every positive integer can be expressed as the sum of three prime numbers?
Which Indian mathematician is known for his work on modular forms?
What is the name of the equation that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^2 - y^2 = n$?
Which Indian mathematician is known for his work on the Fibonacci sequence?
What is the name of the theorem that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^n + y^n = z^n$?
Which Indian mathematician is known for his work on the Basel problem?
What is the name of the equation that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^n - y^n = z^2$?
Which Indian mathematician is known for his work on the Riemann hypothesis?
What is the name of the theorem that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^2 + y^2 = z^n$?
Which Indian mathematician is known for his work on the Waring's problem?
What is the name of the equation that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^n + y^n = z^m$?
Which Indian mathematician is known for his work on the Goldbach's conjecture?
What is the name of the theorem that states that for any positive integer $n$, there exist infinitely many pairs of integers $x$ and $y$ such that $x^n - y^n = z^m$?