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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.
Author(s): Andreas Strombergsson
295 Pages
Lectures on Analytic Number Theory
This note covers the following topics: Formal Power Series, Theta-functions, Analytic theory of partitions, Representation by squares.
Author(s): H. Rademacher
283 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
A Modern Course on Curves and Surfaces
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Automorphic Forms, Representations, and L Functions
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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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An Introduction to the Theory of Numbers
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An Introduction to p adic Numbers and p adic Analysis (PDF 64p)
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Algebra and Number Theory (PDF 64p)
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