References of "Perucca, Antonella 50028796"
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See detailKummer theory for number fields and the reductions of algebraic numbers
Perucca, Antonella UL; Sgobba, Pietro UL

in International Journal of Number Theory (2019)

For all number fields the failure of maximality for the Kummer extensions is bounded in a very strong sense. We give a direct proof (without relying on the Bashmakov-Ribet method) of the fact that if G is ... [more ▼]

For all number fields the failure of maximality for the Kummer extensions is bounded in a very strong sense. We give a direct proof (without relying on the Bashmakov-Ribet method) of the fact that if G is a finitely generated and torsion-free multiplicative subgroup of a number field K having rank r, then the ratio between n^r and the Kummer degree [K(\zeta_n,\sqrt[n]{G}):K(\zeta_n)] is bounded independently of n. We then apply this result to generalise to higher rank a theorem of Ziegler from 2006 about the multiplicative order of the reductions of algebraic integers (the multiplicative order must be in a given arithmetic progression, and an additional Frobenius condition may be considered). [less ▲]

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See detailTrigonometry for the multiples of 3 degrees
Perucca, Antonella UL; Stranen, Deborah UL

Article for general public (2019)

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See detailMultisets
Perucca, Antonella UL

Article for general public (2019)

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See detailReductions of points on algebraic groups
Lombardo, Davide; Perucca, Antonella UL

in Journal of the Institute of Mathematics of Jussieu (2019)

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See detailThe Art Gallery Problem
Perucca, Antonella UL

Article for general public (2019)

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See detailThe problem of detecting linear dependence
Perucca, Antonella UL

in Rivista di Matematica della Universita di Parma (2019)

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See detailReductions of elliptic curves
Perucca, Antonella UL

in Proceedings of the Roman Number Theory Association (2019), 4

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See detailMultiplicative order and Frobenius symbol for the reductions of number fields
Perucca, Antonella UL

in Research Directions in Number Theory, Association for Women in Mathematics, Series 19 (2019) (2019)

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See detailReductions of algebraic integers II
Perucca, Antonella UL

in Association for Women in Mathematics Series (2018)

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See detailDriehoeken met onderling 5 gelijke zijden en hoeken
Perucca, Antonella UL; Van den Broek, Luc

Article for general public (2018)

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See detailTactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind
Perucca, Antonella UL; Fiore, Tom; Lang, Alexander

in College Mathematics Journal (2018)

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See detailReductions of one-dimensional tori II
Perucca, Antonella UL

in Association for Women in Mathematics Series (2018)

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See detailThe PytEuk puzzle
Perucca, Antonella UL

Diverse speeches and writings (2018)

We present an original mathematical exhibit.

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See detailArithmetic billiards
Perucca, Antonella UL

Article for general public (2018)

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See detailMath around the Clock
Perucca, Antonella UL

Article for general public (2018)

This is an article for the general public about mathematical clocks. Several original mathematical clocks are also presented.

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See detailThe 1-eigenspace for matrices in GL2(ℤℓ)
Lombardo, Davide; Perucca, Antonella UL

in New York Journal of Mathematics (2017)

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See detailThe Chinese Remainder Clock
Perucca, Antonella UL

in College Mathematics Journal (2017)

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See detailReductions of one-dimensional tori
Perucca, Antonella UL

in International Journal of Number Theory (2017)

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See detailReductions of algebraic integers
Debry, Christophe; Perucca, Antonella UL

in Journal of Number Theory (2016)

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See detailThe order of the reductions of an algebraic integer
Perucca, Antonella UL

in Journal of Number Theory (2015)

Detailed reference viewed: 102 (2 UL)