File:GramPointsSinThetaZ 413 419.png
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GramPointsSinThetaZ_413_419.png (360 × 222 pixels, file size: 9 KB, MIME type: image/png)
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DescriptionGramPointsSinThetaZ 413 419.png |
Deutsch: Die Funktionen Sin(Theta(t)), blau, und Z(t), fliederfarben, für 413<t<419. Dabei ist Theta die Riemann-Siegelsche Theta-Funktion, Sin die Sinusfunktion und Z ist Hardys Z-Funktion. Die Nullstellen der blauen Kurven sind Gram-Punkte. Die Nullstellen der fliederfarbenen Kurve sind identisch mit den Imaginärteilen von Nullstellen der Riemannschen Zeta-Funktion auf der kritischen Geraden. Dieses Bild zeigt, dass sich im Bereich 413<t<419 die Nullstellen dieser beiden Kurven nicht abwechseln. Deutsch: The functions Sin(Theta(t)), blue, and Z(t), lilac, for 413<t<419. Theta is the Riemann-Siegel theta function, Sin the sine function and Z is the Hardy Z-function (a.k.a. Riemann-Siegel Z-function). The zeros of the blue curve are Gram points. The zeros of the lilac curve coincide with the imaginary parts of zeros of the Riemann zeta function on the critical line. This picture is to show that, for 413<t<419, the zeros of these two curves do not separate each other. |
Date | |
Source | Own work |
Author | Chrgue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:11, 23 November 2013 | 360 × 222 (9 KB) | Chrgue (talk | contribs) | User created page with UploadWizard |
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