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Number TheoryFermats Last Theorem (PDF 18P)

Number TheoryFermats Last Theorem (PDF 18P)

Number TheoryFermats Last Theorem (PDF 18P)

This note covers the following topics: Fermat’s Last Theorem , Euclid's Classification of Pythagorean Triples and Germain's General Approach.

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s18 Pages
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Analytic Number Theory Lecture Notes by Andreas Strombergsson

Analytic Number Theory Lecture Notes by Andreas Strombergsson

This note covers the following topics: Primes in Arithmetic Progressions, Infinite products, Partial summation and Dirichlet series, Dirichlet characters, L(1, x) and class numbers, The distribution of the primes, The prime number theorem, The functional equation, The prime number theorem for Arithmetic Progressions, Siegel’s Theorem, The Polya-Vinogradov Inequality, Sums of three primes, The Large Sieve, Bombieri’s Theorem.

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Lectures on Analytic Number Theory

Lectures on Analytic Number Theory

This note covers the following topics: Formal Power Series, Theta-functions, Analytic theory of partitions, Representation by squares.

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Introduction to Analytic Number Theory Lecture Notes

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.

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An Introductory Course in Elementary Number Theory

An Introductory Course in Elementary Number Theory

The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required.

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A Course on Number Theory (PDF 139P)

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.

s139 Pages
Lectures on Topics in Algebraic Number Theory (PDF 83P)

Lectures on Topics in Algebraic Number Theory (PDF 83P)

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Introduction to Number Theory

Introduction to Number Theory

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ALGEBRAIC NUMBER THEORY

ALGEBRAIC NUMBER THEORY

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Arithmetic Lecture Notes

Arithmetic Lecture Notes

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A Computational Introduction to Number Theory

A Computational Introduction to Number Theory

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A Course In Algebraic Number Theory

A Course In Algebraic Number Theory

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Algorithmic Number Theory

Algorithmic Number Theory

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Number theory and elementary arithmetic

Number theory and elementary arithmetic

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Number Theory and Cryptography

Number Theory and Cryptography

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An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers

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Number Theory Notes

Number Theory Notes

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