Results 31 to 40 of about 21,598 (116)

Prime factorization using quantum annealing and computational algebraic geometry

, 2016
We investigate prime factorization from two perspectives: quantum annealing and computational algebraic geometry, specifically Gr\"obner bases. We present a novel scalable algorithm which combines the two approaches and leads to the factorization of all ...
Alghassi, Hedayat, Dridi, Raouf
core   +1 more source

Factorization for bounded analytic functions in the unit disk and an application to prime ideals

MATHEMATICA SCANDINAVICA, 2006
We prove several factorization theorems for bounded analytic functions in the open unit disk and present a very simple new proof of two conjectures of Frank Forelli and the author on the structure of finitely generated, respectively countably generated prime ideals in $H^{\infty}$.
openaire   +2 more sources

Prime ideal factorization and p-integral basis of quintic number fields defined by x^5+ax+b

Gulf Journal of Mathematics, 2018
Based on Newton polygon techniques, for every prime integer p, a p-integral basis of ℤK, and the factorization of the principal ideal pℤK into prime ideals of ℤK are given, where K is a quintic number field defined by an irreducible trinomial X5 + aX + b ∈ ℤ[X].
openaire   +1 more source

Factoring of prime ideals in the ring of integers of algebraic extensions of Q

, 2021
Bu tezde, Rasyonel Sayılar Cisminin genişlemelerinin tamsayılar halkasında ideallerin çarpanlara ayrılması araştırıldı. Özellikle, quadratik ve birimin primitif kökleriyle oluşturulan genişlemeler ele alındı ve bunlarla ilgili esas teoremler ispatlarıyla birlikte sunuldu.
openaire   +1 more source

Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]

Mon Hefte Math, 2023
Fadinger-Held V, Frisch S, Windisch D.
europepmc   +1 more source

Factorization-prime ideals in integral domains [PDF]

Pacific Journal of Mathematics, 1976
openaire   +2 more sources

Orienteering with One Endomorphism. [PDF]

Mathematica (N Y), 2023
Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN.   +5 more
europepmc   +1 more source

Factorization by quantum annealing using superconducting flux qubits implementing a multiplier Hamiltonian. [PDF]

Sci Rep, 2022
Saida D, Hidaka M, Imafuku K, Yamanashi Y.   +3 more
europepmc   +1 more source

On factorization into prime ideals

Commentarii Mathematici Helvetici, 1972
openaire   +2 more sources

A Study on the Structure of Ideal-Based Non-Zero Divisor Graphs Associated with <i>Z</i> _<i>n</i>. [PDF]

F1000Res
Kadem S, Abd Aubad A.
europepmc   +1 more source