๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Special values of hypergeometric functions over finite fields

โœ Scribed by Ron Evans; Frank Lam


Publisher
Springer US
Year
2008
Tongue
English
Weight
359 KB
Volume
19
Category
Article
ISSN
1382-4090

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Planar functions over finite fields
โœ L. Rรณnyai; T. Szลnyi ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 309 KB
Factoring Polynomials over Special Finit
โœ Eric Bach; Joachim von zur Gathen; Hendrik W. Lenstra Jr. ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

We exhibit a deterministic algorithm for factoring polynomials in one variable over "nite "elds. It is e$cient only if a positive integer k is known for which I (p) is built up from small prime factors; here I denotes the kth cyclotomic polynomial, and p is the characteristic of the "eld. In the cas

Central values of L-functions over CM fi
โœ Hui Xue ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

We prove an explicit formula for the central values of certain Rankin L-functions. These L-functions are the L-functions attached to Hilbert newforms over a totally real field F , twisted by unitary Hecke characters of a totally imaginary quadratic extension of F . This formula generalizes our forme

Iterative Roots of Functions over Finite
โœ K. B. Dunn; R. Lidl ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 590 KB

Let gn denote the iterates of a function y from the finite field FG into itself, defined induct~ively by go@) = x and g"(x) = g ( g n -l ( x ) ) , n>O. We study the existence of solutions to the functional equation g"=f, where f is a given linear, quadratic or CHEBYSIIEV function on .Fq, \*) Researc