Number Theory Notes PDF
Date: 27th Jan 2023
In these “number theory notes pdf”, we will study the micro aptitude of understanding aesthetic aspect of mathematical instructions and gear young minds to ponder upon such problems. Also, another objective is to make the students familiar with simple number theoretic techniques, to be used in data security.
We have provided multiple complete number theory handwritten notes pdf for any university student of BCA, MCA, B.Sc, B.Tech CSE, M.Tech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these number theory notes for bsc pdf by downloading them.
Topics in our number theory pdf notes
The topics we will cover in these number theory pdf notes will be taken from the following list:
Distribution of Primes and Theory of Congruencies: Linear Diophantine equation, Prime counting function, Prime number theorem, Goldbach conjecture, Fermat and Mersenne primes, Congruence relation and its properties, Linear congruence and Chinese remainder theorem, Fermat’s little theorem, Wilson’s theorem.
Number Theoretic Functions: Number theoretic functions for sum and number of divisors, Multiplicative function, Möbius inversion formula, Greatest integer function. Euler’s phi-function and properties, Euler’s theorem.
Primitive Roots: The order of an integer modulo n, Primitive roots for primes, Composite numbers having primitive roots; Definition of quadratic residue of an odd prime, and Euler’s criterion.
Quadratic Reciprocity Law and Public Key Encryption: The Legendre symbol and its properties, Quadratic reciprocity, Quadratic congruencies with composite moduli; Public key encryption, RSA encryption and decryption.
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Author: Delhi University