Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
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TL;DR: In this article, it was shown that there are initely many cyclic cubic cubic quartic cubic lds which are monogenic and it is not known if there are any monogenic cyclic quartic quélds that are known to exist.
Abstract: to be monogenic. Dummit and Kisilevsky[4] have shown that there exist infinitely many cyclic cubic fields whichare monogenic. The same has been shown for non-cyclic cubic fields, purequartic fields, bicyclic quartic fields, dihedral quartic fields by Spearman andWilliams [15], Funakura [6], Nakahara [14], Huard, Spearman and Williams[10] respectively. It is not known if there are infinitely many monogeniccyclic quartic fields. If
15 citations
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TL;DR: In this paper, analytical spatial similaritons to a (2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrodinger equation with distributed diffraction and gain are derived when some compatibility conditions are satisfied.
15 citations
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TL;DR: In this paper, a variant of Brauer's induction method was developed, and it was shown that quartic p-adic forms with at least 9127 variables have non-trivial zeros, for every p.
Abstract: A variant of Brauer's induction method is developed. It is shown that quartic p-adic forms with at least 9127 variables have non-trivial zeros, for every p. For odd p considerably fewer variables are needed. There are also subsidiary new results concerning quintic forms, and systems of forms.
15 citations
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TL;DR: In this article, the authors apply Gregory's rational cubic C1 splines as well as related rational quintic C2 splines to gridded data, assuming that the lower and upper obstacles are compatible with the data set.
15 citations
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TL;DR: In this article, the authors construct explicit solutions of quintic nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities using Lie group theory and canonical transformations and present the general theory and use it to study some examples.
Abstract: In this paper, using Lie group theory and canonical transformations, we construct explicit solutions of quintic nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the general theory and use it to study some examples.
15 citations