Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
Fuente:
arXiv
Saved in:
| Main Authors: | Chakraborty, Kalyan, Gupta, Shubham, Hoque, Azizul |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, Kalyan, et al.
Published: (2025)
by: Chakraborty, Kalyan, et al.
Published: (2025)
Branched covers of $\mathbb{P}^1$ and divisibility in class group
by: Banerjee, Kalyan, et al.
Published: (2026)
by: Banerjee, Kalyan, et al.
Published: (2026)
Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$
by: Chakraborty, Kalyan, et al.
Published: (2025)
by: Chakraborty, Kalyan, et al.
Published: (2025)
Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević
by: Gupta, Shubham
Published: (2025)
by: Gupta, Shubham
Published: (2025)
On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025)
by: Banerjee, Kalyan, et al.
Published: (2025)
On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation
by: Chakraborty, Kalyan, et al.
Published: (2021)
by: Chakraborty, Kalyan, et al.
Published: (2021)
Parameterized families of quadratic fields with $n$-rank at least 2
by: Hoque, Azizul, et al.
Published: (2024)
by: Hoque, Azizul, et al.
Published: (2024)
Polynomial $D(4)$-quadruples over Gaussian Integers
by: Trebješanin, Marija Bliznac, et al.
Published: (2022)
by: Trebješanin, Marija Bliznac, et al.
Published: (2022)
Benford's Law in the ring $\mathbb{Z}(\sqrt{D})$
by: Patterson, Christine, et al.
Published: (2024)
by: Patterson, Christine, et al.
Published: (2024)
Improved upper bounds on Diophantine tuples with the property $D(n)$
by: Yip, Chi Hoi
Published: (2024)
by: Yip, Chi Hoi
Published: (2024)
Vieta jumping and small norms in quadratic number fields
by: Lemmermeyer, Franz
Published: (2026)
by: Lemmermeyer, Franz
Published: (2026)
Rational $D(q)$-quadruples
by: Dražić, Goran, et al.
Published: (2020)
by: Dražić, Goran, et al.
Published: (2020)
Quadratic Gauss sums over $\mathbb{Z}^n/c\mathbb{Z}^n$: explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $\mathbb{F}_p$
by: Zhu, Xiao-Jie
Published: (2025)
by: Zhu, Xiao-Jie
Published: (2025)
Picard groups, pull back and class groups
by: Banerjee, Kalyan, et al.
Published: (2019)
by: Banerjee, Kalyan, et al.
Published: (2019)
An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024)
by: Carter, James E.
Published: (2024)
Diophantine equation related to angle bisectors and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2022)
by: Hirotsu, Takashi
Published: (2022)
On Diophantine triples containing a triangular number
by: Trebješanin, Marija Bliznac
Published: (2025)
by: Trebješanin, Marija Bliznac
Published: (2025)
Cubic Polynomials and Sums of Two Squares
by: Iyer, Siddharth
Published: (2025)
by: Iyer, Siddharth
Published: (2025)
Undecidability on Diophantine equations over $\mathbb Z[i]$ with $20$ unknowns
by: Matiyasevich, Yuri, et al.
Published: (2025)
by: Matiyasevich, Yuri, et al.
Published: (2025)
Some remarks about the minimal polynomials of $4{\sin ^2}\left( {\frac{π}{n}} \right)$
by: Cigler, Johann
Published: (2025)
by: Cigler, Johann
Published: (2025)
The divisibility of the class number of the imaginary quadratic fields $\mathbb{Q}(\sqrt{1-2m^k})$
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
On the monogenity of quartic number fields defined by $x^4+ax^2+b$
by: Fadil, Lhoussain El, et al.
Published: (2022)
by: Fadil, Lhoussain El, et al.
Published: (2022)
$\mathbb{Z}_2$-extension of real quadratic fields with $\mathbb{Z}/2\mathbb{Z}$ as $2$-class group at each layer
by: Laxmi, H, et al.
Published: (2023)
by: Laxmi, H, et al.
Published: (2023)
The extensibility of the Diophantine triple $\{2, b, c\}$
by: Adžaga, Nikola, et al.
Published: (2026)
by: Adžaga, Nikola, et al.
Published: (2026)
Discriminants and Large Pólya Groups in Septic Number Fields
by: Mahapatra, Nimish Kumar
Published: (2025)
by: Mahapatra, Nimish Kumar
Published: (2025)
Nonexistence of generalized bent functions and the quadratic norm form equations
by: Lv, Chang, et al.
Published: (2018)
by: Lv, Chang, et al.
Published: (2018)
Generalized fruit Diophantine equation and super elliptic curves
by: Banerjee, Kalyan, et al.
Published: (2026)
by: Banerjee, Kalyan, et al.
Published: (2026)
The refined class number formula for Drinfeld modules
by: de Frutos-Fernández, María Inés, et al.
Published: (2023)
by: de Frutos-Fernández, María Inés, et al.
Published: (2023)
Quadratic Euler-Kronecker constants in positive characteristic
by: Akbary, Amir, et al.
Published: (2025)
by: Akbary, Amir, et al.
Published: (2025)
On Diophantine graphs
by: Batta, Gergő, et al.
Published: (2024)
by: Batta, Gergő, et al.
Published: (2024)
Strong $n$-conjectures over rings of integers
by: Hölzl, Rupert, et al.
Published: (2025)
by: Hölzl, Rupert, et al.
Published: (2025)
On the non-Archimedean metric Mahler measure
by: Fili, Paul, et al.
Published: (2014)
by: Fili, Paul, et al.
Published: (2014)
On Fermat's Last Theorem over the $\mathbb{Z}_3$-extension of $\mathbb{Q}$ and other fields
by: Dieulefait, Luis, et al.
Published: (2025)
by: Dieulefait, Luis, et al.
Published: (2025)
Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem
by: Karapetyan, Hayk, et al.
Published: (2025)
by: Karapetyan, Hayk, et al.
Published: (2025)
Principal Well-Rounded Ideals of real quadratic fields
by: Smith, Morgan, et al.
Published: (2025)
by: Smith, Morgan, et al.
Published: (2025)
Complete solutions of a Lebesgue-Ramanujan-Nagell type equation
by: Baruah, Priyanka, et al.
Published: (2021)
by: Baruah, Priyanka, et al.
Published: (2021)
Extensions of $D(4)$-pairs $\{a, ka\}$ with $k\in \{7,8,10,11,12,13\}$
by: Trebješanin, Marija Bliznac, et al.
Published: (2025)
by: Trebješanin, Marija Bliznac, et al.
Published: (2025)
On some symmetries of the base $ n $ expansion of $ 1/m $ : The Class Number connection
by: Chakraborty, Kalyan, et al.
Published: (2021)
by: Chakraborty, Kalyan, et al.
Published: (2021)
Stability of 2-class groups in the $\mathbb{Z}_2$-extension of certain real biquadratic fields
by: Laxmi, H, et al.
Published: (2025)
by: Laxmi, H, et al.
Published: (2025)
Irreducibility criteria for pairs of polynomials whose resultant is a prime number
by: Bonciocat, Nicolae Ciprian
Published: (2023)
by: Bonciocat, Nicolae Ciprian
Published: (2023)
Similar Items
-
Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, Kalyan, et al.
Published: (2025) -
Branched covers of $\mathbb{P}^1$ and divisibility in class group
by: Banerjee, Kalyan, et al.
Published: (2026) -
Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$
by: Chakraborty, Kalyan, et al.
Published: (2025) -
Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević
by: Gupta, Shubham
Published: (2025) -
On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025)