An arbitrary number of squares whose sum, on excluding any one of them, is also a square
Fuente:
arXiv
Saved in:
| Main Author: | Choudhry, Ajai |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Two sets of integers such that all elements of the sumset of the two sets are perfect squares
by: Choudhry, Ajai
Published: (2025)
by: Choudhry, Ajai
Published: (2025)
Finite sequences of integers expressible as sums of two squares
by: Choudhry, Ajai, et al.
Published: (2023)
by: Choudhry, Ajai, et al.
Published: (2023)
Three integers whose sum, product and the sum of the products of the integers, taken two at a time, are perfect squares
by: Choudhry, Ajai
Published: (2025)
by: Choudhry, Ajai
Published: (2025)
Four squares from three numbers
by: Dujella, Andrej, et al.
Published: (2025)
by: Dujella, Andrej, et al.
Published: (2025)
Integer roots of LA2-type function in the closed rotated square region
by: Yi, Ong Kun, et al.
Published: (2025)
by: Yi, Ong Kun, et al.
Published: (2025)
Two dimensional arithmetic progressions avoiding squares
by: Dietmann, Rainer, et al.
Published: (2026)
by: Dietmann, Rainer, et al.
Published: (2026)
Regular ternary sums of generalized polygonal numbers
by: Kim, Mingyu
Published: (2026)
by: Kim, Mingyu
Published: (2026)
Asymptotic formulas for sums of elements from a multiplicative group
by: Evertse, Jan-Hendrik, et al.
Published: (2026)
by: Evertse, Jan-Hendrik, et al.
Published: (2026)
Vieta jumping and small norms in quadratic number fields
by: Lemmermeyer, Franz
Published: (2026)
by: Lemmermeyer, Franz
Published: (2026)
On Diophantine triples containing a triangular number
by: Trebješanin, Marija Bliznac
Published: (2025)
by: Trebješanin, Marija Bliznac
Published: (2025)
$D(-1)$-triples of triangular numbers
by: Trebješanin, Marija Bliznac
Published: (2026)
by: Trebješanin, Marija Bliznac
Published: (2026)
Irreducibility criteria for pairs of polynomials whose resultant is a prime number
by: Bonciocat, Nicolae Ciprian
Published: (2023)
by: Bonciocat, Nicolae Ciprian
Published: (2023)
Triangular Numbers With a Single Repeated Digit
by: Hercher, Christian, et al.
Published: (2024)
by: Hercher, Christian, et al.
Published: (2024)
Nonexistence of Euler Boxes with Semiprime Sides
by: Tao, Riley
Published: (2024)
by: Tao, Riley
Published: (2024)
Integer solutions of Pell equation in bounded regions
by: Ong, Kun Yi, et al.
Published: (2025)
by: Ong, Kun Yi, et al.
Published: (2025)
Polynomial $D(4)$-quadruples over Gaussian Integers
by: Trebješanin, Marija Bliznac, et al.
Published: (2022)
by: Trebješanin, Marija Bliznac, et al.
Published: (2022)
Improved upper bounds on Diophantine tuples with the property $D(n)$
by: Yip, Chi Hoi
Published: (2024)
by: Yip, Chi Hoi
Published: (2024)
Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević
by: Gupta, Shubham
Published: (2025)
by: Gupta, Shubham
Published: (2025)
Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
by: Chakraborty, Kalyan, et al.
Published: (2023)
by: Chakraborty, Kalyan, et al.
Published: (2023)
Rational angle bisectors on the coordinate plane and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2023)
by: Hirotsu, Takashi
Published: (2023)
The Kloosterman circle method and weighted representation numbers of quadratic forms
by: Jones, Edna
Published: (2024)
by: Jones, Edna
Published: (2024)
Rational $D(q)$-quadruples
by: Dražić, Goran, et al.
Published: (2020)
by: Dražić, Goran, et al.
Published: (2020)
Pell equation: A generalization of continued fraction and Chakravala algorithms using the LLL-algorithm
by: Liberati, Jose I.
Published: (2023)
by: Liberati, Jose I.
Published: (2023)
On the unique solvability of the simultaneous Pell equations $x^2-ay^2 = 1$ and $z^2-bx^2 = 1$
by: Hilgart, Tobias, et al.
Published: (2024)
by: Hilgart, Tobias, et al.
Published: (2024)
Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, Kalyan, et al.
Published: (2025)
by: Chakraborty, Kalyan, et al.
Published: (2025)
Generalised quadratic forms over totally real number fields
by: Browning, Tim, et al.
Published: (2022)
by: Browning, Tim, et al.
Published: (2022)
On the Curved Patterns Seen in the Graph of PPTs
by: Parks, James M.
Published: (2021)
by: Parks, James M.
Published: (2021)
Diophantine equation related to angle bisectors and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2022)
by: Hirotsu, Takashi
Published: (2022)
Counting solutions to the quadratic determinant equation
by: Chapman, Jonathan, et al.
Published: (2026)
by: Chapman, Jonathan, et al.
Published: (2026)
Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
by: Bhoi, Pritam Kumar, et al.
Published: (2024)
by: Bhoi, Pritam Kumar, et al.
Published: (2024)
A duality result about special functions in Drinfeld modules of arbitrary rank
by: Ferraro, Giacomo Hermes
Published: (2023)
by: Ferraro, Giacomo Hermes
Published: (2023)
Counting $2 \times 2$ integer matrices with a given determinant
by: Chapman, Jonathan, et al.
Published: (2025)
by: Chapman, Jonathan, et al.
Published: (2025)
Counting integer points on affine surfaces with a side condition
by: Browning, Tim, et al.
Published: (2024)
by: Browning, Tim, et al.
Published: (2024)
An average number of square-free values of polynomials
by: Wongcharoenbhorn, Watcharakiete, et al.
Published: (2024)
by: Wongcharoenbhorn, Watcharakiete, et al.
Published: (2024)
End behavior of Ramanujan's taxicab numbers
by: Benfield, Brennan, et al.
Published: (2024)
by: Benfield, Brennan, et al.
Published: (2024)
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)
p-Adically convergent loci in varieties arising from periodic continued fractions
by: Capuano, Laura, et al.
Published: (2024)
by: Capuano, Laura, et al.
Published: (2024)
Anisotropic quadratic equations in three variables
by: Li, Jiamin, et al.
Published: (2025)
by: Li, Jiamin, et al.
Published: (2025)
On extensions of $D(4)$-triples by adjoining smaller elements
by: Trebješanin, Marija Bliznac, et al.
Published: (2023)
by: Trebješanin, Marija Bliznac, et al.
Published: (2023)
On the sum of a prime and a square-free number co-prime to any integer with at most two prime factors
by: Lee, Ethan S., et al.
Published: (2025)
by: Lee, Ethan S., et al.
Published: (2025)
Similar Items
-
Two sets of integers such that all elements of the sumset of the two sets are perfect squares
by: Choudhry, Ajai
Published: (2025) -
Finite sequences of integers expressible as sums of two squares
by: Choudhry, Ajai, et al.
Published: (2023) -
Three integers whose sum, product and the sum of the products of the integers, taken two at a time, are perfect squares
by: Choudhry, Ajai
Published: (2025) -
Four squares from three numbers
by: Dujella, Andrej, et al.
Published: (2025) -
Integer roots of LA2-type function in the closed rotated square region
by: Yi, Ong Kun, et al.
Published: (2025)