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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 :