Derived p-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna p-adic L-function.

Authors: Castella, Francesc¹ (AUTHOR), Hsu, Chi-Yun² (AUTHOR), Kundu, Debanjana³ (AUTHOR), Lee, Yu-Sheng⁴ (AUTHOR), Liu, Zheng¹ (AUTHOR)

Source: Transactions of the American Mathematical Society, Series B. 5/9/2025, Vol. 12, p748-788. 41p.

Subject Terms: *QUADRATIC fields, *NUMBER theory, *L-functions, *ALGEBRA, *LOGICAL prediction

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

Analytical Relations and Statistical Estimations for Sums of Powered Integers.

Authors: Lipovetsky, Stan¹ (AUTHOR) stan.lipovetsky@gmail.com

Source: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p30. 15p.

Subject Terms: *NUMBER theory, *ALGEBRAIC functions, *ARITHMETIC series, *REGRESSION analysis, *EDUCATIONAL objectives

On some k-Oresme hybrid numbers including negative indices.

Authors: HALICI, Serpil¹ shalici@pau.edu.tr, SAYIN, Elifcan² elifcan7898@gmail.com

Source: Communications Series A1 Mathematics & Statistics. 2025, Vol. 74 Issue 1, p17-26. 10p.

Subject Terms: *NUMBER theory, *NUMBER systems, *SYSTEMS theory

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

Computational challenges and solutions: Prime number generation for enhanced data security.

Authors: Ezz-Eldien, Amal¹ (AUTHOR), Ezz, Mohamed² (AUTHOR), Alsirhani, Amjad² (AUTHOR) amjadalsirhani@ju.edu.sa, Mostafa, Ayman Mohamed³ (AUTHOR) amjadalsirhani@ju.edu.sa, Alomari, Abdullah⁴ (AUTHOR), Alserhani, Faeiz⁵ (AUTHOR), Alshahrani, Mohammed Mujib⁶ (AUTHOR)

Source: PLoS ONE. 11/15/2024, Vol. 19 Issue 11, p1-28. 28p.

Subject Terms: *PRIME numbers, *NUMBER theory, *DISTRIBUTED computing, *COMPUTER science, *DATA warehousing

Study on the crashworthiness of star-shaped multicellular tubes.

Authors: Yang, Fumo¹ (AUTHOR), Deng, Xiaolin² (AUTHOR) dengxiaolin3@163.com

Source: Mechanics of Advanced Materials & Structures. 2024, Vol. 31 Issue 20, p4880-4897. 18p.

Subject Terms: *FINITE element method, *NUMBER theory, *TUBES, *ABSORPTION

МЕТОДИ ПОБУДОВИ ДОСКОНАЛОЇ ФОРМИ СИСТЕМИ ЗАЛИШКОВИХ КЛАСІВ НА МНОЖИНІ ЦІЛИХ КОМПЛЕКСНИХ ЧИСЕЛ.

Alternate Title: METHODS FOR CONSTRUCTING THE PERFECT FORM OF RESIDUE NUMBER SYSTEM ON THE SET OF COMPLEX INTEGERS.

Authors: Алілуйко, А. М.¹ aliluyko82@gmail.com

Source: Informatics & Mathematical Methods in Simulation / Informatika ta Matematičnì Metodi v Modelûvannì. 2024, Vol. 14 Issue 4, p324-334. 11p.

Subject Terms: *CHINESE remainder theorem, *NUMBER theory, *COMPLEX numbers, *PUBLIC key cryptography, *MODULAR arithmetic

Machine learning of the prime distribution.

Authors: Kolpakov, Alexander¹ (AUTHOR) kolpakov.alexander@gmail.com, Rocke, A. Alistair² (AUTHOR)

Source: PLoS ONE. 9/27/2024, Vol. 19 Issue 9, p1-12. 12p.

Subject Terms: *PROBABILISTIC number theory, *MACHINE learning, *ARGUMENT

p -Numerical Semigroups of Triples from the Three-Term Recurrence Relations.

Authors: Mu, Jiaxin¹ (AUTHOR), Komatsu, Takao² (AUTHOR) komatsu@nagasaki-u.ac.jp

Source: Axioms (2075-1680). Sep2024, Vol. 13 Issue 9, p608. 20p.

Subject Terms: *INTEGERS, *NUMBER theory, *INTEGRALS

On the Approximation of the Hardy Z -Function via High-Order Sections.

Authors: Jerby, Yochay¹ (AUTHOR) yochayj@hit.ac.il

Source: Axioms (2075-1680). Sep2024, Vol. 13 Issue 9, p577. 8p.

Subject Terms: *ANALYTIC number theory, *RIEMANN hypothesis, *ZETA functions, *FUNCTIONAL equations, *THETA functions

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

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The Mean Square of the Hurwitz Zeta-Function in Short Intervals.

Authors: Laurinčikas, Antanas¹ (AUTHOR) antanas.laurincikas@mif.vu.lt, Šiaučiūnas, Darius² (AUTHOR) darius.siauciunas@sa.vu.lt

Source: Axioms (2075-1680). Aug2024, Vol. 13 Issue 8, p510. 13p.

Subject Terms: *ALGEBRAIC number theory, *SYSTEMS theory, *PRIME numbers, *ANALYTIC functions, *ARITHMETIC series, *ZETA functions

Monogenity and Power Integral Bases: Recent Developments.

Authors: Gaál, István¹ (AUTHOR) gaal.istvan@unideb.hu

Source: Axioms (2075-1680). Jul2024, Vol. 13 Issue 7, p429. 16p.

Subject Terms: *ALGEBRAIC number theory, *ALGEBRAIC numbers, *ALGEBRAIC fields, *POLYNOMIALS, *INTEGRALS

On the maximal number of columns of a Δ-modular integer matrix: bounds and computations.

Authors: Averkov, Gennadiy¹ (AUTHOR), Schymura, Matthias¹ (AUTHOR) schymura@b-tu.de

Source: Mathematical Programming. Jul2024, Vol. 206 Issue 1/2, p61-89. 29p.

Subject Terms: *MATRICES (Mathematics), *NUMBER theory, *INTEGERS

A predicted distribution for Galois groups of maximal unramified extensions.

Authors: Liu, Yuan¹ (AUTHOR), Wood, Melanie Matchett² (AUTHOR) mmwood@math.harvard.edu, Zureick-Brown, David³ (AUTHOR)

Source: Inventiones Mathematicae. Jul2024, Vol. 237 Issue 1, p49-116. 68p.

Subject Terms: *DISTRIBUTION (Probability theory), *NUMBER theory, *FINITE groups, *PROFINITE groups

A Non-aligning Variant of Generalized Turán Problems.

Authors: Gerbner, Dániel¹ (AUTHOR) gerbner.daniel@renyi.hu

Source: Annals of Combinatorics. Jun2024, Vol. 28 Issue 2, p351-366. 16p.

Subject Terms: *NUMBER theory, *PROBLEM solving, *INTEGERS, *RAMSEY numbers

Hierarchical structures and plane sections of generalized Pascal's pyramid.

Authors: Strikhar, Marina¹ mseryogina@mail.ru, Kuzmin, Oleg²

Source: EPJ Web of Conferences. 3/10/2025, Vol. 321, p1-8. 8p.

Subject Terms: *PYRAMIDS, *COMBINATORIAL number theory, *POLYNOMIALS, *BOUNDARY value problems, *INTEGERS

Relating elliptic curve point-counting and solutions of quadratic forms with congruence conditions

Authors: Mondal, Koustav

Subject Terms: Mathematics - Number Theory, 11: Number theory

Access URL: http://arxiv.org/abs/2503.17944