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The Special Function Field Sieve
SIAM Journal on Discrete Mathematics, 2002Summary: Let \(p\) be a prime number and \(n\) a positive integer, and let \(q=p^{n}\). \textit{L. M. Adleman} and \textit{M.-D. A. Huang} [Inf. Comput. 151, 5--16 (1999; Zbl 1006.11078)] described a version of the function field sieve which is conjectured to compute a logarithm in the field of \(q\) elements in expected time \(L_{q}[1/3;(32/9)^{1/3}+o(
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, 2007 The Steffensen inequality and bounds for theČebyšev functional are utilised to obtain bounds for some classical special functions. The technique relies on determining bounds on integrals of products of functions.
P Cerone
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2010
The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original ...
Richard Beals, Roderick Wong
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The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original ...
Richard Beals, Roderick Wong
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1994
Abstract It is strongly suggested by the generalized binomial expansion of Chapter XII that a multivariable version of the hypergeometric function can be associated with every symmetric cone. The theory of these functions is the subject of the present chapter. After proving some general results we look in more detail at the special cases
Jacques Faraut, Adam Korányi
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Abstract It is strongly suggested by the generalized binomial expansion of Chapter XII that a multivariable version of the hypergeometric function can be associated with every symmetric cone. The theory of these functions is the subject of the present chapter. After proving some general results we look in more detail at the special cases
Jacques Faraut, Adam Korányi
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On a Special Functional Equation
Journal of the London Mathematical Society, 1940openaire +2 more sources