Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
On the arithmetic exceptionality of polynomial mappings
Download
index.pdf
Date
2018-02-01
Author
Küçüksakallı, Ömer
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
273
views
107
downloads
Cite This
In this note we prove that certain polynomial mappings P-g(k) (x) is an element of Z[x] in n-variables obtained from simple complex Lie algebras g of arbitrary rank n1, are exceptional.
URI
https://hdl.handle.net/11511/36277
Journal
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1112/blms.12129
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
On the special values of monic polynomials of hypergeometric type
Taşeli, Hasan (Springer Science and Business Media LLC, 2008-01-01)
Special values of monic polynomials y(n)(s), with leading coefficients of unity, satisfying the equation of hypergeometric type
On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products
Gurel, Erhan (2016-06-01)
We prove that the product of first n consecutive values of the polynomial P(k) = 4k(4) + 1 is a perfect square infinitely often whereas the product of first n consecutive values of the polynomial Q(k) = k(4) + 4 is a perfect square only for n = 2.
On the arithmetic complexity of Strassen-like matrix multiplications
Cenk, Murat (2017-05-01)
The Strassen algorithm for multiplying 2 x 2 matrices requires seven multiplications and 18 additions. The recursive use of this algorithm for matrices of dimension n yields a total arithmetic complexity of (7n(2.81) - 6n(2)) for n = 2(k). Winograd showed that using seven multiplications for this kind of matrix multiplication is optimal. Therefore, any algorithm for multiplying 2 x 2 matrices with seven multiplications is called a Strassen-like algorithm. Winograd also discovered an additively optimal Stras...
On the Polynomial Multiplication in Chebyshev Form
Akleylek, Sedat; Cenk, Murat; Özbudak, Ferruh (2012-04-01)
We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly. We remark that our method works efficiently for any N and it is easy to implement. To the best of our knowledge, the proposed method has the best multiplication and addition comple...
On the computation of generalized division polynomials
Küçüksakallı, Ömer (2015-01-01)
We give an algorithm to compute the generalized division polynomials for elliptic curves with complex multiplication. These polynomials can be used to generate the ray class fields of imaginary quadratic fields over the Hilbert class field with no restriction on the conductor.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
Ö. Küçüksakallı, “On the arithmetic exceptionality of polynomial mappings,”
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
, pp. 143–147, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36277.