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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) - 12:28, 1 April 2014
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- *Letting <math>\theta = \pi</math> in [[Euler's identity]] gives <math>e^{\pi i} + 1 = 0</math>, ...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 (1,469 words) - 20:11, 16 September 2022
- of the zeros of the [[Riemann zeta function]] and the distribution [[Riemann Hypothesis]], namely that the zeta function's nontrivial11 KB (1,749 words) - 21:52, 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 Val1 KB (238 words) - 12:45, 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) - 12:28, 1 April 2014