Irreducibility criterion for certain trinomials
نویسندگان
چکیده
منابع مشابه
Two Diophantine Approaches to the Irreducibility of Certain Trinomials
In the previous paper [FLSU], we determined the Galois groups associated with some polynomials constructed through the use of circulant matrices. In the process of determining the Galois groups, the irreducibility of the trinomial x + x +m was established, where p represents an odd prime and m an integer ≥ 2. The approach there was based on a method of Lebesgue [Le]. In this paper, we discuss t...
متن کاملA Fast Algorithm for Testing Irreducibility of Trinomials
The standard algorithm for testing reducibility of a trinomial of prime degree r over GF(2) requires 2r+O(1) bits of memory and Θ(r) bit-operations. We describe an algorithm which requires only 3r/2 + O(1) bits of memory and significantly fewer bit-operations than the standard algorithm. Using the algorithm, we have found 18 new irreducible trinomials of degree r in the range 100151 ≤ r ≤ 70005...
متن کاملIrreducibility criterion for algebroid curves
The purpose of this paper is to give an algorithm for deciding the irreducibility of reduced algebroid curves over an algebraically closed field of arbitrary characteristic. To do this, we introduce a new notion of local tropical variety which is a straightforward extension of tropism introduced by Maurer, and then give irreducibility criterion for algebroid curves in terms local tropical varie...
متن کاملIrreducibility of certain pseudovarieties 1
We prove that the pseudovarieties of all finite semigroups, and of all aperiodic fin1 e sernigroups are irreducible for join, for semidirect product and for hlal 'ce~. product. In particular, these pseudovarieties do not admit maximal proper suhpseudovariet~es. More generally, analogous results are proved for the pseudovar~ety of all finite serrigroups all of whose subgroups are in a fixed pseu...
متن کاملThe criterion of irreducibility of multi – loop
The criterion of irreducibility of multi–loop Feynman integrals. Abstract The integration by parts recurrence relations allow to reduce some Feynman inte-grals to more simple ones (with some lines missing). Nevertheless the possibility of such reduction for the given particular integral was unclear. The recently proposed technique for studying the recurrence relations as by-product provides wit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2019
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0s01/0028