On certain modular determinants
About: This article is published in Edinburgh Mathematical Notes. The article was published on 01 Jan 1940. and is currently open access. The article focuses on the topics: Modular design.
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Citations
A generalization of Maillet’s determinant and a bound for the first factor of the class number
Leonard Carlitz
- 01 Feb 1961
TL;DR: It was shown in this paper that (3) DP = + p(p3)'2k, where h denotes the first factor of the class number of the cyclotomic field R(e2riIP), and R denotes the rational field.
Fermat’s Last Theorem
Władysław Narkiewicz
- 01 Jan 2012
TL;DR: The last chapter brings a short survey on the work on Fermat's Last Theorem, culminating in its proof as discussed by the authors, and the proof of the theorem is discussed in detail.
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Herbert Westren Turnbull. 1885-1961
TL;DR: Herbert Westren Turnbull as mentioned in this paper was the second son and second of the seven children of William Peveril Turnbull, H.M. Inspector of Schools at Wolverhampton and later at Sheffield, was born at Tettenhall, Wolverhamton, on 31 August 1885.
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•Posted Content
Generalizations of the Maillet Determinant
Youngmi Hur,Zachary Lubberts +1 more
TL;DR: In this paper, the authors consider several extensions of the Maillet determinant studied by Malo, Turnbull, and Carlitz and Olson, and derive properties of the underlying matrices.
2
•Dissertation
Generating Tight Wavelet Frames From Sums of Squares Representations
Zachary Lubberts
- 20 Mar 2019
TL;DR: It turns out that for a fixed lowpass masks and vanishing moment recovery function, this condition is equivalent to the existence of highpass masks satisfying the oblique extension principle conditions, which allows us to construct multivariate tight wavelet frames for any lowpass mask satisfying the Oblique sub-QMF condition, under some mild assumptions on the vanishing moments recovery function.
1
References
On the History of Determinants
TL;DR: The history of determinants has been studied extensively in the literature, see as discussed by the authors for an overview. But the main focus of this paper is on the history of deterministic determinants.
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