Search Results - Number theory Additive number theory; partitions~

Quadratic phenomena in additive combinatorics and number theory

Authors: Lindqvist, Sofia Green, Ben Heath-Brown, Roger

Contributors: Lindqvist, Sofia Green, Ben Heath-Brown, Roger

Subject Terms: 511

Access URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.780764

Additive combinatorics and Diophantine problems

Authors: Chapman, Jonathan Robertson, Donald

Contributors: Chapman, Jonathan Robertson, Donald

Subject Terms: Higher order Fourier Analysis, Arithmetic combinatorics, Arithmetic Ramsey theory, Number theory, Partition regularity, Combinatorics

Access URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.843511

Integer partitions detect the primes.

Authors: Craig, William van Ittersum, Jan-Willem Ono, Ken

Source: Proceedings of the National Academy of Sciences of the United States of America; 9/24/2024, Vol. 121 Issue 39, p1-11, 11p

Subject Terms: PRIME numbers, PARTITION functions, NUMBER theory, INTEGERS, EQUATIONS

Number Fields

Authors: Frans Keune

Resource Type: eBook.

Subjects: Algebraic number theory

Categories: MATHEMATICS / Number Theory

加性组合在若干经典组合优化问题中的应用. (Chinese)

Alternate Title: Application of additive combinatorics in several classic combinatorial optimization problems. (English)

Authors: 陈林

Source: Operations Research Transactions / Yunchouxue Xuebao; Sep2025, Vol. 29 Issue 3, p202-222, 21p

Subject Terms: COMBINATORIAL optimization, KNAPSACK problems, APPROXIMATION algorithms, ALGORITHMS, ADDITIVE number theory, SUBSET selection, POLYNOMIAL time algorithms

Counterexamples to a conjecture of Dombi in additive number theory.

Authors: Bell, J. P. Shallit, J.

Source: Acta Mathematica Hungarica; Apr2023, Vol. 169 Issue 2, p562-565, 4p

Subject Terms: LOGICAL prediction, ADDITIVE number theory

Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)

Authors: Zhiyong Zheng Tianze Wang

Resource Type: eBook.

Subjects: Social planning, National security, Number theory

Categories: COMPUTERS / Security / General, MATHEMATICS / Numerical Analysis

A NOTE ON A CLASSICAL CONNECTION BETWEEN PARTITIONS AND DIVISORS.

Authors: Merca, M.¹ mircea.merca@upb.ro

Source: Annals: Series on Mathematics & its Applications. 2023, Vol. 15 Issue 1/2, p163-174. 12p.

Subject Terms: *PARTITION functions, *NUMBER theory, *DIVISOR theory, *PARTITIONS (Mathematics)

q-Parikh matrices and q-deformed binomial coefficients of words.

Authors: Renard, Antoine Rigo, Michel Whiteland, Markus A.

Source: Discrete Mathematics. May2025, Vol. 348 Issue 5, pN.PAG-N.PAG. 1p.

Subject Terms: *ADDITIVE number theory, *HYPERGEOMETRIC series, *PARTITIONS (Mathematics), *POWER series, *POLYNOMIALS

Additive Number Theory via Automata Theory.

Authors: Rajasekaran, Aayush Shallit, Jeffrey Smith, Tim

Source: Theory of Computing Systems; Apr2020, Vol. 64 Issue 3, p542-567, 26p

Subject Terms: MACHINE theory, ROBOTS, FIRST-order logic, FINITE state machines, NATURAL numbers, ADDITIVE number theory

Partitions with Parts in a Finite Set

Authors: Nathanson, Melvyn B.

Source: Proceedings of the American Mathematical Society, 2000 May 01. 128(5), 1269-1273.

Access URL: https://www.jstor.org/stable/119631

Reviews.

Authors: Thompson, Lola¹ (AUTHOR) l.thompson@uu.nl

Source: American Mathematical Monthly. Mar2024, Vol. 131 Issue 3, p273-276. 4p.

Subject Terms: *CIRCLE, *ANALYTIC number theory, *NUMBER theory, *PARTITION functions, *EXPONENTIAL sums, *HARDY-Littlewood method, *RIEMANN hypothesis

A brief history of partitions of numbers, partition functions and their modern applications.

Authors: Debnath, Lokenath

Source: International Journal of Mathematical Education in Science & Technology; Apr2016, Vol. 47 Issue 3, p329-355, 27p

Subject Terms: COMPUTATIONAL number theory, PYTHAGOREAN theorem, MATHEMATICS education, MATHEMATICS theorems, EUCLIDEAN algorithm, EUCLID'S elements

Combinatorial Number Theory : Proceedings of the 'Integers Conference 2011', Carrollton, Georgia, USA, October 26-29, 2011

Authors: Bruce Landman Melvyn B. Nathanson Jaroslav Nešetril et al.

Resource Type: eBook.

Subjects: Combinatorial number theory--Congresses

Categories: MATHEMATICS / Discrete Mathematics, MATHEMATICS / Algebra / General, MATHEMATICS / Finite Mathematics, MATHEMATICS / Number Theory, MATHEMATICS / Reference, MATHEMATICS / Research, MATHEMATICS / Combinatorics

Non-archimedean Excursions in Probability, Number theory, Combinatorics and Geometry

Authors: El Maazouz, Yassine

Subject Terms: Mathematics, Statistics

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/8jj7z3sk
https://escholarship.org/content/qt8jj7z3sk/qt8jj7z3sk.pdf

Methods of Calculating Prediction Error Variance and Prediction Accuracy for Restricted Best Linear Unbiased Prediction of Breeding Values.

Authors: Satoh, Masahiro¹ (AUTHOR) masahiro.satoh.d5@tohoku.ac.jp

Source: Journal of Animal Breeding & Genetics. Jul2025, Vol. 142 Issue 4, p363-372. 10p.

Subjects: Prediction algorithms, Estimation theory, Statistical models, Mathematical statistics, Statistical measurement, Heritability, Selection bias (Statistics), Phenotypes

PROBLEMS IN ADDITIVE NUMBER THEORY, IV:: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS.

Authors: NATHANSON, MELVYN B.

Source: International Journal of Number Theory; Dec2011, Vol. 7 Issue 8, p1999-2017, 19p

Subject Terms: NETS (Mathematics), NATURAL numbers, ALGORITHMS, CAYLEY graphs, GEOMETRIC group theory, ADDITIVE combinatorics, ADDITIVE number theory

Young symmetrizers and additive theory.

Authors: Caldeira, Cristina Dias Da Silva, J. A.

Source: Linear & Multilinear Algebra; Dec2003, Vol. 51 Issue 4, p339-359, 21p

Subject Terms: MATHEMATICS, SYMMETRY, POLYNOMIALS, LINEAR algebra, MATHEMATICAL analysis, NUMBER theory

Chapter Restricted integer partition functions

Authors: Alon, Noga Landman, Bruce

Contributors: Alon, Noga Landman, Bruce

Subject Terms: Additive, multiplicative and probabilistic number theory, Sequences and sets, Extremal and classical combinatorics, Ramsey theory, Hypergraphs, Discrete mathematics, Algebra, Number theory, Combinatorics and graph theory

File Description: application/pdf

Access URL: http://library.oapen.org/handle/20.500.12657/23717

Ramanujan 125

Authors: Krishnaswami Alladi Frank Garvan Ae Ja Yee

Resource Type: eBook.

Subjects: Functions, Theta--Congresses, Lie algebras--Congresses, Combinatorics--Enumerative combinatorics--Comb, Number theory--Elementary number theory--Arith, Number theory--Forms and linear algebraic groups, Number theory--Discontinuous groups and automorp, Number theory--Additive number theory-- partition, Algebraic geometry--Abelian varieties and scheme, Nonassociative rings and algebras--Lie algebras

Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Number Theory