Number Theory: Handwritten Notes

CONTENTS OR SUMMARY:

• Divisibility
• Division Algorithm
• Greatest Common Divisor
• Algebraic Numbers
• Degree of Algebraic Number
• Minimal or Defining Polynomial
• Conjugates of Algebraic Number
• Base and Radix Representation
• Method of finding the G.C.D
• G.C.D of more than two integers
• Least Common Multiple (L.C.M)

• The Linear Diophantine Equation
• Prime Number
• The fundamental theorem of Arithmetic (Unique Factorization Theorem)
• Fermat Numbers
• Mersenne Numbers
• Arithmetic Function
• Perfect Numbers
• The Bracket Function
• The Mobius Function
• The Mobius Inverse Formula

This is first part of the notes. Other part will be published soon.