Dec 25, 2017
youtu.be/Lf3gli_fR2c // The Riemann Hypothesis [Millennium Prize Problem, Official Introduction] #RiemannHypothesis #primenumbers #math
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youtu.be/Lf3gli_fR2c // The Riemann Hypothesis [Millennium Prize Problem, Official Introduction] #RiemannHypothesis #primenumbers #math
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The values of the Riemann zeta function are shown for various inputs of real (horizontal axis) and imaginary (vertical axis) numbers. Black areas are where the zeta function returns zero — the “zeros” of the function. So-called nontrivial zeros lie along the vertical line where the real numbers equal ½. // quantamagazine.org/quantum-physicists-attack-the-riemann-hypothesis-20170404 // #riemannhypothesis #math #physics #Riemannzetafunction
Prime Numbers and the Riemann Hypothesis: : Barry Mazur, William Stein:…
Prime Numbers and the Riemann Hypothesis
Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann hypothesis. Students with a minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann hypothesis.
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#primenumbers #riemannhypothesis #book
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