On the arithmetic of twists of superelliptic curves
Sungkon Chang (2006)
Acta Arithmetica
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Displaying similar documents to “On a class of distribution-free tests for growth curves analyses”
On the arithmetic of twists of superelliptic curves
Rigidity of integral curves of rank 2 distributions.
Robert L. Bryant, Lucas Hsu (1993)
Inventiones mathematicae
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Two-Sample Rank Tests with Truncated Populations.
C.H. Lin, Shashikala Sukhatme (1993)
Metrika
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Rank tests for scale: Hájek's influence and recent developments
Hermann Witting (1995)
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Numerical investigations related to the derivatives of the -series of certain elliptic curves.
Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
Kumiko Nakata (1979)
Manuscripta mathematica
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An interesting family of curves of genus 1.
Bremner, Andrew (2000)
International Journal of Mathematics and Mathematical Sciences
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Multivariate skewness and kurtosis for singular distributions.
Ramón Ardanuy, José Manuel Sánchez (1993)
Extracta Mathematicae
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In multivariate analysis it is generally assumed that the observations are normally distributed. It was Mardia ([1] to [5]), who first introduced measures of multivariate skewness and kurtosis; these statistics are affine invariant and can be used for testing multivariate normality. Skewness and kurtosis tests remain among the most powerful, general and easy to implement. In this paper we show some properties of these statistics when population distribution is singular.
Ranks of quadratic twists of elliptic curves
Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher, Andrew Granville, Nicholas F. Rogers (2014)
Publications mathématiques de Besançon
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We report on a large-scale project to investigate the ranks of elliptic curves in a quadratic twist family, focussing on the congruent number curve. Our methods to exclude candidate curves include 2-Selmer, 4-Selmer, and 8-Selmer tests, the use of the Guinand-Weil explicit formula, and even 3-descent in a couple of cases. We find that rank 6 quadratic twists are reasonably common (though still quite difficult to find), while rank 7 twists seem much more rare. We also describe our inability...