Lecture 3 Analytic Number Theory Rutgers Math 572 Prof Kontorovich 1282022

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Follow along with the lecture notes: • http://math.rutgers.edu/~alexk/2022S5... • Gauss's Conjecture, Eratosthenes, Mellin Transform of Theta Function, Gamma Function, Analytic Continuation and Functional Equation of Zeta, Zeros and Polar Behavior, von Mangoldt and Chebyshev functions, Riemann's Explicit Formula as Poisson Summation in Primes • Course website: • https://sites.math.rutgers.edu/~alexk...

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