: the 6th letter of the Greek alphabet see Alphabet Table
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The Riemann zeta function is one of the most central functions in number theory, and mathematicians had been trying for centuries to prove the irrationality of ζ(3) — the number that the zeta function outputs when its input is 3.—Erica Klarreich, Quanta Magazine, 8 Jan. 2025 Mathematicians already know that the nontrivial zeta zeros are confined between 0 and 1.—Byzack Savitsky, science.org, 29 July 2024 In 1859, Bernhard Riemann, another renowned German mathematician, sought help from a different function, now called the Riemann zeta function.—Byzack Savitsky, science.org, 29 July 2024 Riemann knew that the zeta function has an infinite number of zeros within the critical strip.—Manon Bischoff, Scientific American, 1 July 2024 Riemann quickly found that the zeta function has no zeros if the real part is greater than 1.—Manon Bischoff, Scientific American, 1 July 2024 Riemann had actually done pages of calculations of zeros of the Riemann zeta function.—Jordana Cepelewicz, Quanta Magazine, 31 Aug. 2023 The Riemann zeta function, by contrast, assigns complex numbers to the variable s, an innovation that brings the whole vast store of techniques from complex analysis to bear on questions in number theory.—Kevin Hartnett, Quanta Magazine, 13 Jan. 2022 Riemann’s question hinges on the Riemann zeta function.—Kevin Hartnett, Quanta Magazine, 13 Jan. 2022
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