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ANALYTIC NUMBER THEORY/RIEMANN HYPOTHESIS (Sen, M1, Stopple)

Lecture Topic : (Pure Math) ANALYTIC NUMBER THEORY/RIEMANN HYPOTHESIS (Sen, M1, Stopple)

Prerequisites : Real Analysis (Sen, M1); Complex Analysis (Sen, M1);

Recommended Text(s) :

“A Primer of Analytic Number Theory”, Jeffrey Stopple, Cambridge University Press, 2003

Approx price new on Amazon.com (hard copy) : $37

Approx price second hand on Amazon.com (hard copy) : $2

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Analytic Number Theory, Stopple

Lectures and Links :

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Lecture 1  (link)

Ch.1   Sums and Differences

Ch.2   Products and Divisibility

Ch.3   Orders of Magnitude

Ch.4   Averages

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Lecture 2  (link)

Interlude1   Calculus

Ch.5   Primes

Interlude2  Series

Ch.6  BaselProblem

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Lecture 3  (link)

Ch.7   Euler’s Product

Interlude3 Complex Numbers

Ch.8  The Riemann Zeta Function

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Lecture 4  (link)

Ch.9  Symmetry

Ch.10  Explicit Formula

Interlude4 Modular Arithmetic

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Lecture 5  (link)

Ch.11   Pell’s Equation

Ch.12   Elliptic Curves

Ch.13   Analytic Theory of Algebraic Numbers

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Links to Other Lecturers on this Topic :

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