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ORBi

The Hardest Logic Puzzle Ever Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 45 (0 UL)Explicit Kummer theory for quadratic fields ; Perucca, Antonella ; Sgobba, Pietro et al E-print/Working paper (n.d.) Let K be a quadratic number field. If \alpha \in K*, we describe an explicit procedure to compute all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1, where \zeta_m denotes a ... [more ▼] Let K be a quadratic number field. If \alpha \in K*, we describe an explicit procedure to compute all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1, where \zeta_m denotes a primitive m-th root of unity and n divides m. We can also replace \alpha by any finitely generated subgroup of K*. [less ▲] Detailed reference viewed: 120 (10 UL)Arithmetic Billiards Perucca, Antonella ; ; Tronto, Sebastiano E-print/Working paper (n.d.) Detailed reference viewed: 46 (2 UL)Kummer extensions of number fields (the case of rank 2) Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 58 (14 UL)Four Riddles with Four Brothers Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 36 (1 UL)Kummer theory for number fields via entanglement groups Perucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano E-print/Working paper (n.d.) Let $K$ be a number field, and let $G$ be a finitely generated and torsion-free subgroup of $K^\times$. We are interested in computing the degree of the cyclotomic-Kummer extension $K(\sqrt[n]{G})$ over ... [more ▼] Let $K$ be a number field, and let $G$ be a finitely generated and torsion-free subgroup of $K^\times$. We are interested in computing the degree of the cyclotomic-Kummer extension $K(\sqrt[n]{G})$ over $K$, where $\sqrt[n]{G}$ consists of all $n$-th roots of the elements of $G$. We develop the theory of entanglements introduced by Lenstra, and apply it to compute the above degrees. [less ▲] Detailed reference viewed: 90 (4 UL)Sharing calculations to understand arithmetical algorithms and parallel computing Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 88 (0 UL)Every number is the beginning of a power of $2$ Perucca, Antonella E-print/Working paper (n.d.) Detailed reference viewed: 38 (2 UL) |
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