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TRONTO Sebastiano

Main Referenced Co-authors
PERUCCA, Antonella  (9)
SGOBBA, Pietro  (7)
Lombardo, Davide (2)
Hoermann, Fritz (1)
Hörmann, Fritz (1)
Main Referenced Keywords
Kummer theory (6); Elliptic curves (4); Degree (3); Galois representations (3); Number fields (3);
Main Referenced Disciplines
Mathematics (14)

Publications (total 14)

The most downloaded
253 downloads
PERUCCA, A., SGOBBA, P., & TRONTO, S. (2021). The degree of Kummer extensions of number fields. International Journal of Number Theory. doi:10.1142/S1793042121500263 https://hdl.handle.net/10993/42470

The most cited

6 citations (WOS)

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2021). The degree of Kummer extensions of number fields. International Journal of Number Theory. doi:10.1142/S1793042121500263 https://hdl.handle.net/10993/42470

Hoermann, F., PERUCCA, A., SGOBBA, P., & TRONTO, S. (2022). Explicit Kummer generators for cyclotomic extensions. JP Journal of Algebra, Number Theory and Applications. doi:10.17654/0972555522004
Peer reviewed

TRONTO, S. (2022). Kummer theory for commutative algebraic groups [Doctoral thesis, Unilu - University of Luxembourg]. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52102

PERUCCA, A., Reguengo da Sousa, J., & TRONTO, S. (2022). Arithmetic Billiards. Recreational Mathematics Magazine.
Peer reviewed

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2021). Kummer theory for number fields via entanglement groups. Manuscripta Mathematica. doi:10.1007/s00229-021-01328-0
Peer Reviewed verified by ORBi

Hörmann, F., PERUCCA, A., SGOBBA, P., & TRONTO, S. (2021). Explicit Kummer theory for quadratic fields. JP Journal of Algebra, Number Theory and Applications. doi:10.17654/NT050020151
Peer reviewed

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2021). The degree of Kummer extensions of number fields. International Journal of Number Theory. doi:10.1142/S1793042121500263
Peer Reviewed verified by ORBi

Lombardo, D., & TRONTO, S. (2021). Some uniform bounds for elliptic curves over Q. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/48742.

TRONTO, S. (2021). Division in modules and Kummer theory. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/48741.

PERUCCA, A., & TRONTO, S. (2021). How to become the world record holder for solving the Rubik's cube.

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2020). Kummer theory for number fields. Proceedings of the Roman Number Theory Association.

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2020). Explicit Kummer theory for the rational numbers. International Journal of Number Theory. doi:10.1142/S1793042120501146
Peer Reviewed verified by ORBi

PERUCCA, A., SGOBBA, P., & TRONTO, S. (2020). Addendum to: Reductions of algebraic integers. Journal of Number Theory. doi:10.1016/j.jnt.2016.09.004
Peer Reviewed verified by ORBi

TRONTO, S. (2020). Radical entanglement for elliptic curves. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/48740.

Lombardo, D., & TRONTO, S. (n.d.). Effective Kummer Theory for Elliptic Curves. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/43271.

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