Odd moments in the distribution of primes
V.Z. Kuperberg, Algebra &; Number Theory 19 (2025) 617–666.

Sums of singular series along arithmetic progressions and with smooth weights
V.Z. Kuperberg, International Journal of Number Theory 21 (2025) 53–74.

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.

Arithmetic constants for symplectic variances of the divisor function
V.Z. Kuperberg, M. Lalín, Mathematika 71 (2025).

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.

Odd moments and adding fractions
T.F. Bloom, V.Z. Kuperberg, Proceedings of the London Mathematical Society 131 (2025).

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.

Statistics of ranks, determinants and characteristic polynomials of rational matrices
M. Afifurrahman, V.Z. Kuperberg, A. Ostafe, I.E. Shparlinski, Forum Mathematicum 37 (2024).

Consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of Number Theory 264 (2024) 135–147.

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.

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.

Sums of divisor functions and von Mangoldt convolutions in 53dq[T] leading to symplectic distributions
V.Z. Kuperberg, M. Lalín, Forum Mathematicum 34 (2022) 711–747.

On pseudo-polynomials divisible only by a sparse set of primes and ;1-primary pseudo-polynomials
V.Z. Kuperberg, Journal of Number Theory 241 (2022) 531–541.

Soficity and variations on Higman’s group
M. Kassabov, V.Z. Kuperberg, T.R. Riley, Journal of Combinatorial Algebra 3 (2019) 41–70.

Chip-firing on trees of loops
S. Kailasa, V.Z. Kuperberg, N. Wawrykow, The Electronic Journal of Combinatorics 25 (2018).

Packings of equal disks in a square torus
R. Connelly, M. Funkhouser, V.Z. Kuperberg, E. Solomonides, Discrete &; Computational Geometry 58 (2017) 614–642.

Hadamard matrices modulo p and small modular Hadamard matrices
V.Z. Kuperberg, Journal of Combinatorial Designs 24 (2016) 393–405.