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An overview of the milestones in development of the analytic number theory from antiquity to the present day (in Russian)
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TL;DRAbstract
A brief review of the key results in the analytic number theory, based on Marcus du Sautoy's bestseller "The music of the primes" (2003). Provides a concise and clear description of the key formulas which link the prime counting function with Riemann's zeta function, focusing both on their mathematical and philosophical interpretation.
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A brief review of the key results in the analytic number theory, based on Marcus du Sautoy's bestseller "The music of the primes" (2003). Provides a concise and clear description of the key formulas which link the prime counting function with Riemann's zeta function, focusing both on their mathematical and philosophical interpretation.
Keywords
Key (lock)Number theoryRiemann zeta functionInterpretation (philosophy)Analytic number theoryRiemann hypothesisEpistemologyPrime (order theory)
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