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On the units generated by Weierstrass forms
Date
2014-08-05
Author
Küçüksakallı, Ömer
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http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9313943&fileId=S1461157014000163
https://hdl.handle.net/11511/72769
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On the units generated by Weierstrass forms
Küçüksakallı, Ömer (2014-01-01)
There is an algorithm of Schoof for finding divisors of class numbers of real cyclotomic fields of prime conductor. In this paper we introduce an improvement of the elliptic analogue of this algorithm by using a subgroup of elliptic units given by Weierstrass forms. These elliptic units which can be expressed in terms of x-coordinates of points on elliptic curves enable us to use the fast arithmetic of elliptic curves over finite fields.
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In this thesis, a fairly detailed survey on the q-classical orthogonal polynomials of the Hahn class is presented. Such polynomials appear to be the bounded solutions of the so called qhypergeometric difference equation having polynomial coefficients of degree at most two. The central idea behind our study is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation by means of a qualitative analysis of the relevant q-Pearson equation. T...
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Let G be a finite group and A be a subgroup of Aut(G). In this work, we studied the influence of the index of fixed point subgroup of A in G on the structure of G. When A is cyclic, we proved the following: (1) [G,A] is solvable if this index is squarefree and the orders of G and A are coprime. (2) G is solvable if the index of the centralizer of each x in H-G is squarefree where H denotes the semidirect product of G by A. Moreover, for an arbitrary subgroup A of Aut(G) whose order is coprime to the order o...
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Ö. Küçüksakallı, “On the units generated by Weierstrass forms,” 2014, Accessed: 00, 2021. [Online]. Available: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9313943&fileId=S1461157014000163.