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SGOBBA Pietro

Main Referenced Co-authors
PERUCCA, Antonella  (10)
TRONTO, Sebastiano  (7)
Moree, Pieter (2)
Hoermann, Fritz (1)
Hörmann, Fritz (1)
Main Referenced Keywords
Kummer theory (6); number field (4); Degree (3); multiplicative order (3); Number fields (3);
Main Referenced Disciplines
Mathematics (16)

Publications (total 16)

The most downloaded
455 downloads
Perucca, A., & Sgobba, P. (2019). Kummer theory for number fields and the reductions of algebraic numbers. International Journal of Number Theory. doi:10.1142/S179304211950091X https://hdl.handle.net/10993/35969

The most cited

10 citations (WOS)

Perucca, A., & Sgobba, P. (2020). Kummer theory for number fields and the reductions of algebraic numbers II. Uniform Distribution Theory. doi:10.1142/S179304211950091X https://hdl.handle.net/10993/36399

Sgobba, P. (2022). Reductions of algebraic numbers and Artin's conjecture on primitive roots [Doctoral thesis, Unilu - University of Luxembourg]. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52011

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

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

Sgobba, P. (2021). On the distribution of the order and index for the reductions of algebraic numbers. Journal of Number Theory. doi:10.1016/j.jnt.2020.11.008
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). Kummer theory for number fields via entanglement groups. Manuscripta Mathematica. doi:10.1007/s00229-021-01328-0
Peer Reviewed verified by ORBi

Sgobba, P. (06 February 2020). On the order of the reductions of algebraic numbers [Paper presentation]. Seminari de Teoria de Nombres de Barcelona 2020.

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). Addendum to: Reductions of algebraic integers. Journal of Number Theory. doi:10.1016/j.jnt.2016.09.004
Peer Reviewed verified by ORBi

Perucca, A., & Sgobba, P. (2020). Kummer theory for number fields and the reductions of algebraic numbers II. Uniform Distribution Theory. doi:10.1142/S179304211950091X
Peer reviewed

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. (2019). Kummer theory for number fields and the reductions of algebraic numbers. International Journal of Number Theory. doi:10.1142/S179304211950091X
Peer Reviewed verified by ORBi

Sgobba, P. (2018). Kummer theory for number fields and applications [Bachelor/master dissertation, Unilu - University of Luxembourg]. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/53417

Moree, P., & Sgobba, P. (n.d.). Prime divisors of the l-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level l. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/51204.

Sgobba, P. (n.d.). Divisibility conditions on the order of the reductions of algebraic numbers. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/46613.

Moree, P., Perucca, A., & Sgobba, P. (n.d.). The distribution of the multiplicative index of algebraic numbers over residue classes. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/54490.

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