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  • '''Chebyshev's theta function''', denoted <math>\vartheta</math> or sometimes <math>\theta</math>, is a function of use in [[analytic number theory]].
    2 KB (264 words) - 13:28, 1 April 2014

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  • * Letting <math>\theta = \pi</math> in [[Euler's identity]] gives <math>e^{i\pi} + 1 = 0</math>, w ...we need the full strength of the prime number theorem here. The elementary Chebyshev's estimate <math>D_n\le n^{\sqrt n}\cdot 4^n</math> is no longer sufficient).
    8 KB (1,424 words) - 16:49, 17 February 2025
  • of the zeros of the [[Riemann zeta function]] and the distribution [[Riemann Hypothesis]], namely that the zeta function's nontrivial
    11 KB (1,749 words) - 22:52, 10 January 2025
  • The '''prime counting function''', denoted <math>\pi</math>, is a [[function]] defined on [[real number]]s. The quantity <math>\pi(x)</math> is defined ...er theorem]]. It is also asymptotically equivalent to [[Chebyshev's theta function]]. It was first proved in 1896 by Jacques Hadamard and by Charles de la Val
    1 KB (238 words) - 13:45, 13 August 2015
  • '''Chebyshev's theta function''', denoted <math>\vartheta</math> or sometimes <math>\theta</math>, is a function of use in [[analytic number theory]].
    2 KB (264 words) - 13:28, 1 April 2014