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Theory of Numbers Lecture Notes
This lecture note is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.
Author(s): Prof. Abhinav Kumar
NA Pages 
Number Theory Lecture Notes by Vahagn Aslanyan
This note explains the following topics: Divisibility, Multiplicative functions, Modular arithmetic, Primitive roots, Quadratic residues, Diophantine equations, Quadratic number fields, Chebyshev’s theorem.
Author(s): Vahagn Aslanyan
69 Pages
Theory of Numbers Lecture Notes
This lecture note is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.
Author(s): Prof. Abhinav Kumar
NA Pages
This note covers the following topics: Divisibility and Primes, Congruences, Congruences with a Prime-Power Modulus, Euler's Function and RSA Cryptosystem, Units Modulo an Integer, Quadratic Residues and Quadratic Forms, Sum of Powers, Fractions and Pell's Equation, Arithmetic Functions, The Riemann Zeta Function and Dirichlet L-Function.
Author(s): Dr. Anupam Saikia, NTPEL
NA Pages
Introduction to Analytic Number Theory Lecture Notes
Analytic number theory provides some powerful tools to study prime numbers, and most of our current knowledge of primes has been obtained using these tools. Topics covered includes: Primes and the Fundamental Theorem of Arithmetic, Arithmetic functions: Elementary theory, Dirichlet series and Euler products and Asymptotic estimates, Distribution of primes: Elementary results and Proof of the Prime Number Theorem, Primes in arithmetic progressions.
Author(s): A.J. Hildebrand
NA Pages
A Course on Number Theory (PDF 139P)
This note explains the following topics: Algebraic numbers, Finite continued fractions, Infinite continued fractions, Periodic continued fractions, Lagrange and Pell, Euler’s totient function, Quadratic residues and non-residues, Sums of squares and Quadratic forms.
Author(s): Peter J. Cameron
139 Pages
Introductory Number Theory (PDF 80P)
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A Course In Algebraic Number Theory
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Number theory and elementary arithmetic
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Elementary Number Theory Clark W.E.
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Algebra and Number Theory (PDF 64p)
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