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Prof. Dr. Antonella Perucca
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| Faculty or Centre | Faculty of Science, Technology and Medicine | ||||
| Department | Department of Mathematics | ||||
| Postal Address |
Université du Luxembourg Maison du Nombre 6, Avenue de la Fonte L-4364 Esch-sur-Alzette |
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| Campus Office | MNO, E06 0615-120 | ||||
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| Telephone | (+352) 46 66 44 5781 | ||||
To Antonella Perucca's homepage: www.antonellaperucca.net
Last updated on: Monday, 07 October 2019
In press
Kummer theory for products of one-dimensional tori;
in Publications Mathematiques de Besançon (in press)
Divisibility Graphs: Graphs representing modular multiplications; ;
E-print/Working paper (in press)
2023
Training mathematical thinking with the inclusive card game UNO; ;
Diverse speeches and writings (2023)
Congruence theorems for convex polygons involving sides, angles, and diagonals;
in International Journal of Geometry (2023), 12(2023), 83-92
2022
Sharing calculations to understand arithmetical algorithms and parallel computing;
in Mathematics Teacher (2022)
Explicit Kummer generators for cyclotomic extensions; ; ;
in JP Journal of Algebra, Number Theory and Applications (2022)
Kummer theory for multiquadratic or quartic cyclic number fields;
in Uniform distribution theory (2022), 17(no. 2), 165-194
2021
Explicit Kummer theory for quadratic fields; ; ;
in JP Journal of Algebra, Number Theory and Applications (2021)
The degree of Kummer extensions of number fields; ;
in International Journal of Number Theory (2021)
2020
The degree of non-Galois Kummer extensions of number fieldsin Rivista di Matematica della Universita di Parma (2020), 11
Kummer theory for number fields and the reductions of algebraic numbers II;
in Uniform Distribution Theory (2020)
2019
Reductions of points on algebraic groups;
in Journal of the Institute of Mathematics of Jussieu (2019)
Multiplicative order and Frobenius symbol for the reductions of number fieldsin Research Directions in Number Theory, Association for Women in Mathematics, Series 19 (2019) (2019)
Kummer theory for number fields and the reductions of algebraic numbers;
in International Journal of Number Theory (2019)
2018
Tactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind; ;
in College Mathematics Journal (2018)
2017
2016
2015
The prime divisors of the number of points on abelian varietiesin Journal de Théorie des Nombres de Bordeaux (2015)
Undated
The distribution of the multiplicative index of algebraic numbers over residue classes; ;
E-print/Working paper (n.d.)
The least common multiple of several numbers in terms of greatest common divisorsE-print/Working paper (n.d.)
