Pietro Sgobba

activity

20202026

most citedThe distribution of the multiplicative index of algebraic numbers over residue classes

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2022Show all

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math.NT2022

Unified treatment of Artin-type problems II

Olli Järviniemi, Antonella Perucca, Pietro Sgobba

This work concerns Artin's Conjecture on primitive roots and related problems for number fields. Let $K$ be a number field and let $W_{1}$ to $W_{n}$ be finitely generated subgroups of…

math.NT2022

Prime divisors of $ℓ$ -Genocchi numbers and the ubiquity of Ramanujan-style congruences of level $ℓ$

Pieter Moree, Pietro Sgobba

Let $ℓ$ be any fixed prime number. We define the $ℓ$ -Genocchi numbers by $G_{n} := ℓ (1 - ℓ^{n}) B_{n}$ , with $B_{n}$ the $n$ -th Bernoulli number. They are integers. We introduce and…

Unified treatment of Artin-type problems II

Prime divisors of ℓ-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level ℓ

Prime divisors of $ℓ$ -Genocchi numbers and the ubiquity of Ramanujan-style congruences of level $ℓ$