منابع مشابه
Representing an element in Fq[t] as the sum of two irreducibles in Fq s[t]
A monic polynomial in Fq[t] of degree n over a finite field Fq of odd characteristic can be written as the sum of two irreducible monic elements in Fqs [t] of degrees n and n− 1 if s is sufficiently large. Such a representation is possible in Fq[t] if q is larger than an explicitly given bound in terms of n.
متن کاملBinomial and factorial congruences for Fq[t]
We present several elementary theorems, observations and questions related to the theme of congruences satisfied by binomial coefficients and factorials modulo primes (or prime powers) in the setting of polynomial ring over a finite field. When we look at the factorial of n or the binomial coefficient ‘n choose m’ in this setting, though the values are in a function field, n and m can be usual ...
متن کاملA normal form for definite quadratic forms over Fq[t]
An efficient algorithm to compute automorphism groups and isometries of definite Fq [t]-lattices for odd q is presented. The algorithm requires several square root computations in Fq2 but no enumeration of orbits having more than eight elements.
متن کاملALMOST UNRAMIFIED DISCRETE SPECTRUM FOR SPLIT GROUPS OVER Fq(t)
Let G be a split adjoint group defined over Fq , let F = Fq(t), and let A be the adèles of F. We describe the local constituents at two points of automorphic representations of G in the discrete part of L2(G(F)\G(A)) which have vectors invariant under Iwahori subgroups at these two points and are unramified at all other points.
متن کاملRESULTANTS OF CYCLOTOMIC POLYNOMIALS OVER Fq[T ] AND APPLICATIONS
In this paper we compute the resultants of the Carlitz cyclotomic polynomials and then we address two applications to the setting of the Carlitz module.
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 2019
ISSN: 1434-6044,1434-6052
DOI: 10.1140/epjc/s10052-019-7207-4