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On the product of two primitive elements of maximal subfields of a finite field

โœ Scribed by B.V. Petrenko

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
139 KB
Volume
178
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES

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For a prime number l, let h> J be the class number of the maximal real subfield of the l-th cyclotomic field. For each natural number N, it is plausible but not yet proved that there exist infinitely many prime numbers l with h> J 'N. We prove an analogous assertion for cyclotomic function fields.

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Let q be a power of a prime number p and k=F q (T ) the rational function field with a fixed indeterminate T. For an irreducible monic P=P(T ) in R=F q [T], let k(P) + be the maximal real subfield of the P th cyclotomic function field and h + T (P) the class number of k(P) + associated to R. We prov

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## Abstract Integrations of the shallow water equations on the sphere using the finite element method are performed and compared with published integrations of Doron __et al.__ (1974). Better results are obtained with the finite element method than with a second order finite difference method using