On generalized mersenne primes and class-numbers of equivalent quadratic fields and cyclotomic fields
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Publication:2353269
DOI10.1007/s40324-014-0027-4zbMath1316.11102OpenAlexW2008258677MaRDI QIDQ2353269
Publication date: 9 July 2015
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-014-0027-4
Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Generalized primes and integers (11N80)
Related Items (7)
On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations ⋮ A Pair of Quadratic Fields with Class Number Divisible by 3 ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ Non-divisibility of the class number of imaginary quadratic fields and some applications ⋮ On the Class-number of the Maximal Real Subfield of a Cyclotomic Field ⋮ A note on quadratic fields whose class numbers are divisible by 3 ⋮ A new cryptosystem using generalized Mersenne primes
Cites Work
- On generalized Mersenne prime
- Note on the class-number of the maximal real subfield of a cyclotomic field
- Explicit construction of a class of infinitely many imaginary quadratic fields whose class number is divisible by 3
- Real quadratic fields with class numbers divisible by \(n\)
- On unramified Galois extensions of quadratic number fields
- On the divisibility of the class number of quadratic fields
- On the Class-Number of the Maximal Real Subfield of a Cyclotomic Field
- On the class-number of the maximal real subfield of a cyclotomic field.
- Note on the class-number of the maximal real subfield of a cyclomatic field.
- On class numbers of some cyclotomic fields.
- On the class-number of the maximal real subfield of a cyclotomic field.
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