Math253 Project p-adic Numbers Quiz

When were p-adic numbers introduced?

• 1852

• 1890

• 1987

• 1897

Who invented p-adic numbers?

• Leopold Kronecker

• Kurt Hensel

• Ernst Kummer

• Kendrick Lamar

Who is Hensel's doctoral supervisor?

• Karl Weierstrass

• Heinrich Weber

• Stray Kids

• Leopold Kronecker

What is the significance of the p in p-adic numbers

• It denotes the prime number used to construct the p-adic numbers

• It refers to p-adic periodicity in their expansions

• It represents the property of being positive-definite

• It stands for the word "power" because a p-adic number is a sum of products of powers of primes and their coefficients

Which mathematical field motivated the research of p-adic numbers?

• Analytic combinatorics

• Number theory

• Topology

• Functional Analysis

Which of the following about p-adic numbers is true?

• They have unique decimal expansion

  for a given prime p

• They can be ordered in the same way as real numbers

• Square numbers in Z are also square numbers in 2-adic integers

• They have  Euclidean norm

What is a very important property that seperates p-adic numbers from real numbers?

• Completeness

• Archimedean property

• Non Commutativity

• Non Archimedean property

Which of these properties is true for ring of p-adic integers?

• It is an integral domain but not a unique factorization domain

• It is a unique factorization domain but not an integral domain

• Both integral domain and unique factorization domain.

• It is neither integral domain nor unique factorization domain

What is the main application of p-adic numbers in cryptography?

• Public key encryption

• Hash functions

• Elliptic curve cryptography

• Blockchain technology