Highly precise values for the energy ratios underlying the Lieb–Oxford bound and the convexity conjecture for the adiabatic connection.

Authors: Fauser, Steffen¹ (AUTHOR), Trushin, Egor^1,2 (AUTHOR), Görling, Andreas^1,2 (AUTHOR) andreas.goerling@fau.de

Source: Journal of Chemical Physics. 4/28/2025, Vol. 162 Issue 16, p1-11. 11p.

Subject Terms: *NUMBER theory, *KINETIC energy, *POTENTIAL energy, *ENERGY consumption, *FUNCTIONALS

Parameter Selection in Complex-Valued Two-Channel Modulo ADC Sampling System

Authors: Yan, Wenyi, Zhu, Ruixiang, Li, Zeyuan, Gan, Lu, Liu, Hongqing

Source: 2025 International Conference on Sampling Theory and Applications (SampTA) Sampling Theory and Applications (SampTA), 2025 International Conference on. :1-5 Jul, 2025

Relation: 2025 International Conference on Sampling Theory and Applications (SampTA)

Hybrid Framework for Prime Number Prediction Using Fourier-Encoded Temporal Features and Self-Learning Models

Authors: Sangeetha, S., Dasari, Shrikrishna, Jaff, Nadhema Ahmed, Vijay Peter, S., Anjum, Afsana, Saravanakumar, R

Source: 2025 International Conference on Innovations in Intelligent Systems: Advancements in Computing, Communication, and Cybersecurity (ISAC3) Innovations in Intelligent Systems: Advancements in Computing, Communication, and Cybersecurity (ISAC3), 2025 International Conference on. :1-6 Jul, 2025

Relation: 2025 International Conference on Innovations in Intelligent Systems: Advancements in Computing, Communication, and Cybersecurity (ISAC3)

Computation of L⊙ for algebraic series over Fq((X-1)).

Authors: Ghorbel, R.¹ (AUTHOR) rimaghorbel@yahoo.fr, Zouari, S.¹ (AUTHOR) sourourzwari@yahoo.fr

Source: Arabian Journal of Mathematics. Dec2025, Vol. 14 Issue 3, p445-454. 10p.

Subject Terms: *NUMBER theory, *POWER series, *BETA functions, *ALGEBRAIC number theory

Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields.

Authors: Baier, Stephan¹ (AUTHOR) stephanbaier2017@gmail.com, Gao, Peng² (AUTHOR) penggao@buaa.edu.cn

Source: International Journal of Number Theory. Oct2025, Vol. 21 Issue 9, p2141-2156. 16p.

Subject Terms: *NUMBER theory, *ANALYTIC number theory, *MATHEMATICAL bounds, *DIRICHLET series, *MATHEMATICS, *FUNCTION spaces

Fast Multivariate Multipoint Evaluation over All Finite Fields.

Authors: Bhargava, Vishwas¹ (AUTHOR) vishwas1384@gmail.com, Ghosh, Sumanta² (AUTHOR) besusumanta@gmail.com, Guo, Zeyu³ (AUTHOR) zguotcs@gmail.com, Kumar, Mrinal⁴ (AUTHOR) mrinalkumar08@gmail.com, Umans, Chris⁵ (AUTHOR) umans@cs.caltech.edu

Source: Journal of the ACM. Jun2024, Vol. 71 Issue 3, p1-32. 32p.

Subject Terms: ANALYTIC number theory, ARITHMETIC series, TIME complexity, DETERMINISTIC algorithms, FINITE fields, EXPONENTIAL sums

Convergence of datalog over (Pre-) Semirings.

Authors: Abo Khamis, Mahmoud¹ mahmoudabo@gmail.com, Ngo, Hung Q.¹ hung.q.ngo@gmail.com, Pichler, Reinhard² pichler@dbai.tuwien.ac.at, Suciu, Dan³ suciu@cs.washington.edu, Wang, Yisu Remy³ remywang@cs.washington.edu

Source: Journal of the ACM. Apr2024, Vol. 71 Issue 2, p1-55. 55p.

Subject Terms: *BIG data, *ALGORITHMS, POLYNOMIAL time algorithms, NUMBER theory, SEMANTICS, NAIVE Bayes classification

Shuffle product of desingularized multiple zeta functions at integer points

Authors: Nao Komiyama, Takeshi Shinohara

Source: Journal of Algebra. 684:394-440

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 11M32, 16T05, 01 natural sciences

Access URL: http://arxiv.org/abs/2302.11444

Isolations of the sum of two squares from its proper subforms

Authors: Jangwon Ju, Daejun Kim, Kyoungmin Kim, Mingyu Kim, Byeong-Kweon Oh

Source: Journal of Number Theory. 277:1-18

Subject Terms: Mathematics - Number Theory, 11E12, 11E20, 11E25, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2308.04720

Hecke relations for eta multipliers and congruences for higher-order smallest parts functions

Authors: Clayton Williams

Source: Journal of Number Theory. 277:325-343

Subject Terms: Mathematics - Number Theory, 11F37 (Primary) 11F33, 11P83 (Secondary), FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2403.04909

Multiplicative generalised polynomial sequences

Authors: Jakub Konieczny

Source: Journal of Number Theory. 277:147-164

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), Primary: 11J54. Secondary: 11N64, 37A44

Access URL: http://arxiv.org/abs/2403.17590

Hook length biases for self-conjugate partitions and partitions with distinct odd parts

Authors: Cossaboom, C.

Source: arXiv

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2406.18480
http://hdl.handle.net/21.11116/0000-000F-BD49-B
http://hdl.handle.net/21.11116/0000-000F-BD4B-9

Divisibility of the multiplicative order modulo monic irreducible polynomials over finite fields

Authors: Da Conceição, Joaquim Cera

Source: Journal of Number Theory. 277:105-123

Subject Terms: Mathematics - Number Theory, 11R44, 11T06, 11N37, 11R58, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2412.09107

Class numbers, congruent numbers and umbral moonshine

Authors: Miranda C.N. Cheng, John F.R. Duncan, Michael H. Mertens

Source: Journal of number theory 277, 201-235 (2025). doi:10.1016/j.jnt.2025.02.007

Subject Terms: High Energy Physics - Theory, Mathematics - Number Theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, FOS: Physical sciences, Number Theory (math.NT), 11F22, 11F37, 11G05, 11G40, 20C34, Representation Theory (math.RT), Mathematics - Representation Theory

Access URL: http://arxiv.org/abs/2306.16414
https://publications.rwth-aachen.de/record/1012908

Models of CM elliptic curves with a prescribed ℓ-adic Galois image

Authors: Enrique González–Jiménez, Álvaro Lozano-Robledo, Benjamin York

Source: Journal of Number Theory. 277:19-62

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Primary: 11G05, Secondary: 11G15, 14H52, 14K22, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2408.04159

Rational deformations of the set of multiple zeta-star values

Authors: Li, Jiangtao

Source: Journal of Number Theory. 276:23-56

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2309.10259

Cyclotomic primes

Authors: Pomerance, Carl

Source: Journal of Number Theory. 276:198-208

Subject Terms: Mathematics - Number Theory, 11N32, 11N25, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2411.04213

Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms

Authors: Chengliang Guo

Source: Journal of Number Theory. 276:162-197

Subject Terms: Number Theory, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2410.04448

Effectivity for existence of rational points is undecidable

Authors: Natalia Garcia-Fritz, Hector Pasten, Xavier Vidaux

Source: Journal of Number Theory. 276:81-97

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Logic, Number Theory (math.NT), Logic (math.LO), Primary: 11U05, Secondary: 11C08, 11G50

Access URL: http://arxiv.org/abs/2311.01958

On the largest singular vector of the Redheffer matrix

Authors: François Clément, Stefan Steinerberger

Source: Linear Algebra and its Applications. 725:96-114

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2502.09489