Quiz on Number Theory

What is number theory primarily devoted to?

• Study of geometry

• Study of integers and arithmetic functions

• Study of calculus

• Study of real numbers

Who is the German mathematician known for his quote about mathematics?

• Georg Cantor

• Bernhard Riemann

• Carl Friedrich Gauss

• David Hilbert

What type of numbers do number theorists study?

• Complex numbers

• Prime numbers

• Imaginary numbers

• Irrational numbers

What is an example of an analytical object in number theory?

• Linear functions

• Riemann zeta function

• Polynomial functions

• Quadratic equations

What is Diophantine geometry concerned with?

• Finding derivatives

• Calculating limits

• Graphing functions

• Solutions to equations

What does analytic number theory study?

• Only real numbers

• Only rational numbers

• Only prime numbers

• Properties of integers and primes

What is the relationship studied in Diophantine approximation?

• Prime numbers and composite numbers

• Integers and irrational numbers

• Real numbers and rational numbers

• Real numbers and complex numbers

What are algebraic integers considered as?

• Generalizations of the integers

• Complex numbers

• A type of prime number

• Only rational numbers

What is the focus of number theory?

• Study of integers and their properties

• Study of calculus

• Study of statistics

• Study of geometry

Which mathematician is associated with the quote about number theory being the queen of mathematics?

• Leonhard Euler

• Carl Friedrich Gauss

• Niels Henrik Abel

• Isaac Newton