A. Maarefparvar

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20182025

most citedOstrowski quotients for finite extensions of number fields

3 citations · 4 across the 7 of their papers we have counts for

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math.NT2025

Number Fields With Large Pólya Groups

Amir Akbary, Abbas Maarefparvar

The Pólya group $Po (K)$ of a number field $K$ is the subgroup of the ideal class group $Cl (K)$ of $K$ generated by the classes of all the products of the prime ideals o…

math.NT2024

On Pólya groups of some non-Galois number fields

Abbas Maarefparvar

We prove two conjectures proposed by Chabert and Halberstadt concerning Pólya groups of $S_{4}$ -fields and $D_{4}$ -fields. More generally, the latter will be proved for $D_{n}$ -fields wi…

math.NT2023

The $S$ -relative Pólya groups and $S$ -Ostrowski quotients of number fields

Ehsan Shahoseini, Abbas Maarefparvar

Let $K / F$ be a finite extension of number fields and $S$ be a finite set of primes of $F$ , including all the archimedean ones. In this paper, using some results of González-Avilés…

math.NT2022

The Ostrowski quotient of an elliptic curve

Abbas Maarefparvar

For $K / F$ a finite Galois extension of number fields, the relative Pólya group $\Po(K/F)$ is the subgroup of the ideal class group of $K$ generated by all the strongly ambiguous id…

math.NT2021★ 3 cited

Ostrowski quotients for finite extensions of number fields

Ehsan Shahoseini, Ali Rajaei, Abbas Maarefparvar

For $L / K$ a finite Galois extension of number fields, the relative Pólya group $\Po(L/K)$ coincides with the group of strongly ambiguous ideal classes in $L / K$ . In this paper, usin…

math.NT2021★ 1 cited

Pólya-Ostrowski Group and Unit Index in Real Biquadratic Fields

Huda Naeem Hleeb Al-Jabbari, Abbas Maarefparvar

The Pólya-Ostrowski group of a Galois number field $K$ , is the subgroup $P o (K)$ of the ideal class group $C l (K)$ of $K$ generated by the classes of all the strongly ambiguous ideal…

math.NT2018

Relative Polya Group and Polya Dihedral Extensions of Q

Ali Rajaei, Abbas Maarefparvar

We define the relative Polya group for a finite extension of number fields and prove triviality of the relative Polya group for the Hilbert class field. Then we generalize our prev…