Vivian Zieve Kuperberg

17 Publications

Mark all

[17]
2025 | Published | Journal Article | IST-REx-ID: 22191 | OA
Odd moments in the distribution of primes
V.Z. Kuperberg, Algebra & Number Theory 19 (2025) 617–666.
[Preprint] View | DOI | Download Preprint (ext.)
 
[16]
2025 | Published | Journal Article | IST-REx-ID: 22195 | OA
Sums of singular series along arithmetic progressions and with smooth weights
V.Z. Kuperberg, International Journal of Number Theory 21 (2025) 53–74.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[15]
2025 | Published | Journal Article | IST-REx-ID: 22200 | OA
Symplectic conjectures for sums of divisor functions and explorations of an orthogonal regime
V.Z. Kuperberg, M. Lalín, Transactions of the American Mathematical Society, Series B 12 (2025) 323–370.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[14]
2025 | Published | Journal Article | IST-REx-ID: 22199 | OA
Arithmetic constants for symplectic variances of the divisor function
V.Z. Kuperberg, M. Lalín, Mathematika 71 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[13]
2025 | Published | Journal Article | IST-REx-ID: 22201 | OA
Lower bounds on weighted moments of primes in short intervals in number fields
R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025) 437–461.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[12]
2025 | Published | Journal Article | IST-REx-ID: 22203 | OA
Odd moments and adding fractions
T.F. Bloom, V.Z. Kuperberg, Proceedings of the London Mathematical Society 131 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2025 | Published | Journal Article | IST-REx-ID: 22204 | OA
Positive density for consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of the Institute of Mathematics of Jussieu 24 (2025) 1995–2046.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 22190 | OA
Statistics of ranks, determinants and characteristic polynomials of rational matrices
M. Afifurrahman, V.Z. Kuperberg, A. Ostafe, I.E. Shparlinski, Forum Mathematicum 37 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[9]
2024 | Published | Journal Article | IST-REx-ID: 22197
Consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of Number Theory 264 (2024) 135–147.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2023 | Published | Journal Article | IST-REx-ID: 22192 | OA
Sums of singular series with large sets and the tail of the distribution of primes
V.Z. Kuperberg, The Quarterly Journal of Mathematics 74 (2023) 1457–1479.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2022 | Published | Journal Article | IST-REx-ID: 22193 | OA
Sums of singular series and primes in short intervals in algebraic number fields
V.Z. Kuperberg, B. Rodgers, E. Roditty-Gershon, The Ramanujan Journal 58 (2022) 291–317.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2022 | Published | Journal Article | IST-REx-ID: 22194 | OA
Sums of divisor functions and von Mangoldt convolutions in 𝔽q[T] leading to symplectic distributions
V.Z. Kuperberg, M. Lalín, Forum Mathematicum 34 (2022) 711–747.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 22196 | OA
On pseudo-polynomials divisible only by a sparse set of primes and α-primary pseudo-polynomials
V.Z. Kuperberg, Journal of Number Theory 241 (2022) 531–541.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2019 | Published | Journal Article | IST-REx-ID: 22205 | OA
Soficity and variations on Higman’s group
M. Kassabov, V.Z. Kuperberg, T.R. Riley, Journal of Combinatorial Algebra 3 (2019) 41–70.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2018 | Published | Journal Article | IST-REx-ID: 22206 | OA
Chip-firing on trees of loops
S. Kailasa, V.Z. Kuperberg, N. Wawrykow, The Electronic Journal of Combinatorics 25 (2018).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
2017 | Published | Journal Article | IST-REx-ID: 22198
Packings of equal disks in a square torus
R. Connelly, M. Funkhouser, V.Z. Kuperberg, E. Solomonides, Discrete & Computational Geometry 58 (2017) 614–642.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2016 | Published | Journal Article | IST-REx-ID: 22202 | OA
Hadamard matrices modulo p and small modular Hadamard matrices
V.Z. Kuperberg, Journal of Combinatorial Designs 24 (2016) 393–405.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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17 Publications

Mark all

[17]
2025 | Published | Journal Article | IST-REx-ID: 22191 | OA
Odd moments in the distribution of primes
V.Z. Kuperberg, Algebra & Number Theory 19 (2025) 617–666.
[Preprint] View | DOI | Download Preprint (ext.)
 
[16]
2025 | Published | Journal Article | IST-REx-ID: 22195 | OA
Sums of singular series along arithmetic progressions and with smooth weights
V.Z. Kuperberg, International Journal of Number Theory 21 (2025) 53–74.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[15]
2025 | Published | Journal Article | IST-REx-ID: 22200 | OA
Symplectic conjectures for sums of divisor functions and explorations of an orthogonal regime
V.Z. Kuperberg, M. Lalín, Transactions of the American Mathematical Society, Series B 12 (2025) 323–370.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[14]
2025 | Published | Journal Article | IST-REx-ID: 22199 | OA
Arithmetic constants for symplectic variances of the divisor function
V.Z. Kuperberg, M. Lalín, Mathematika 71 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[13]
2025 | Published | Journal Article | IST-REx-ID: 22201 | OA
Lower bounds on weighted moments of primes in short intervals in number fields
R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025) 437–461.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[12]
2025 | Published | Journal Article | IST-REx-ID: 22203 | OA
Odd moments and adding fractions
T.F. Bloom, V.Z. Kuperberg, Proceedings of the London Mathematical Society 131 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2025 | Published | Journal Article | IST-REx-ID: 22204 | OA
Positive density for consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of the Institute of Mathematics of Jussieu 24 (2025) 1995–2046.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 22190 | OA
Statistics of ranks, determinants and characteristic polynomials of rational matrices
M. Afifurrahman, V.Z. Kuperberg, A. Ostafe, I.E. Shparlinski, Forum Mathematicum 37 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[9]
2024 | Published | Journal Article | IST-REx-ID: 22197
Consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of Number Theory 264 (2024) 135–147.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2023 | Published | Journal Article | IST-REx-ID: 22192 | OA
Sums of singular series with large sets and the tail of the distribution of primes
V.Z. Kuperberg, The Quarterly Journal of Mathematics 74 (2023) 1457–1479.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2022 | Published | Journal Article | IST-REx-ID: 22193 | OA
Sums of singular series and primes in short intervals in algebraic number fields
V.Z. Kuperberg, B. Rodgers, E. Roditty-Gershon, The Ramanujan Journal 58 (2022) 291–317.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2022 | Published | Journal Article | IST-REx-ID: 22194 | OA
Sums of divisor functions and von Mangoldt convolutions in 𝔽q[T] leading to symplectic distributions
V.Z. Kuperberg, M. Lalín, Forum Mathematicum 34 (2022) 711–747.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 22196 | OA
On pseudo-polynomials divisible only by a sparse set of primes and α-primary pseudo-polynomials
V.Z. Kuperberg, Journal of Number Theory 241 (2022) 531–541.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2019 | Published | Journal Article | IST-REx-ID: 22205 | OA
Soficity and variations on Higman’s group
M. Kassabov, V.Z. Kuperberg, T.R. Riley, Journal of Combinatorial Algebra 3 (2019) 41–70.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2018 | Published | Journal Article | IST-REx-ID: 22206 | OA
Chip-firing on trees of loops
S. Kailasa, V.Z. Kuperberg, N. Wawrykow, The Electronic Journal of Combinatorics 25 (2018).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
2017 | Published | Journal Article | IST-REx-ID: 22198
Packings of equal disks in a square torus
R. Connelly, M. Funkhouser, V.Z. Kuperberg, E. Solomonides, Discrete & Computational Geometry 58 (2017) 614–642.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2016 | Published | Journal Article | IST-REx-ID: 22202 | OA
Hadamard matrices modulo p and small modular Hadamard matrices
V.Z. Kuperberg, Journal of Combinatorial Designs 24 (2016) 393–405.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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