• Search: "Additive number theory"

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1

An Empirical Verification of Waring’s Problem for Fourth Powers: Confirming g(4)=19andG(4)=16.
Kannan, Balasubramanian
Journal of Computational Analysis & Applications. 2025, Vol. 34 Issue 10, p69-73. 5p.

ADDITIVE number theory DYNAMIC programming EMPIRICAL research COMPUTATIONAL mathematic...
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2

Addition theorems in partially ordered groups.
Nathanson, Melvyn B.
Journal of Algebra. Nov2025, Vol. 681, p46-61. 16p.

ADDITIVE number theory PARTIALLY ordered sets NONABELIAN groups ABELIAN groups INTEGERS
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3

Problems in additive number theory. VI: Sizes of sumsets of finite sets.
Nathanson, M. B.
Acta Mathematica Hungarica. Aug2025, Vol. 176 Issue 2, p498-521. 24p.

ADDITIVE number theory ADDITION (Mathematics)
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4

Relative sizes of iterated sumsets
Kravitz, Noah
Journal of Number Theory. 272:113-128

Additive bases, includin... Inverse problems of addi... FOS: Mathematics Mathematics - Combinator... Combinatorics (math.CO) iterated sumsets …
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5

On Ideals of Submonoids of Power Monoids.
García-García, Juan Ignacio ; Marín-Aragón, Daniel ; Vigneron-Tenorio, Alberto
Mathematics (2227-7390). Feb2025, Vol. 13 Issue 4, p584. 14p.

ADDITIVE number theory COMMUTATIVE algebra FACTORIZATION INTEGERS ELASTICITY
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6

On pairs of equations with unequal powers of primes and powers of 2
Li Zhu
AIMS Mathematics, Vol 10, Iss 2, Pp 4153-4172 (2025)

waring–goldbach problem... linnik problem QA1-939 hardy–littlewood method... additive number theory Mathematics …
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7

On Large Sum-Free Sets: Revised Bounds and Patterns.
Cordeiro de Amorim, Renato
Mathematics (2227-7390). Dec2024, Vol. 12 Issue 24, p3889. 5p.

ADDITIVE number theory
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8

Compression and complexity for sumset sizes in additive number theory.
Nathanson, Melvyn B.
Journal of Number Theory. Apr2026, Vol. 281, p321-343. 23p.

COMPUTATIONAL complexity ADDITIVE number theory DATA compression
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9

A Proof of The Erdos-Turan Conjecture on Asymptotic Additive Bases
Smpokos, Konstantinos ; Independent Researcher

Additive Number Theory [MATH]Mathematics [math]
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10

Lagrange’s four squares theorem and Chen’s theorem
Tian, Shuangrui
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 68(1)

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11

加性组合在若干经典组合优化问题中的应用. (Chinese)
陈林
Operations Research Transactions / Yunchouxue Xuebao; Sep2025, Vol. 29 Issue 3, p202-222, 21p

COMBINATORIAL optimizati... KNAPSACK problems APPROXIMATION algorithms ALGORITHMS ADDITIVE number theory SUBSET selection …
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12

Product of polynomial values being large power
Eshita Mazumdar ; Arindam Roy
Proceedings of the Edinburgh Mathematical Society. 68:51-62

Inverse problems of addi... Other combinatorial numb... 0103 physical sciences Rate of growth of arithm... Multiplicative structure Euclidean algorithm …
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13

On the existence of zero-sum subsequences of distinct lengths over certain groups of rank three
Li, X. ; Yin, Q. Y.
Acta Mathematica Hungarica. 174:323-340

Finite abelian groups Inverse problems of addi... Other combinatorial numb... inverse problem zero-sum invariant Units and factorization …
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14

Q-independence and the construction of Bh-sets of integers and lattice points
Nathanson, Melvyn B.
In Discrete Mathematics February 2026 349(2)

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15

Unique representations of integers by linear forms
Kiss, Sándor Z. ; Sándor, Csaba
In Journal of Combinatorial Theory, Series A July 2025 213

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16

Some zero-sum problems over $$\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle $$: Some zero-sum problems over \(\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle\)
S. Ribas
Bulletin of the Brazilian Mathematical Society, New Series. 56

groups with a cyclic ind... Mathematics - Number The... Inverse problems of addi... Other combinatorial numb... Zhuang-Gao conjecture FOS: Mathematics …
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17

On generalized Narkiewicz constants of finite abelian groups
Gao, Weidong ; Hui, Wanzhen ; Li, Xue ; et al.
Acta Arithmetica. 212:133-172

Arithmetic combinatorics higher degree uniformity Finite abelian groups combinatorial constants... zero-sum sequences Inverse problems of addi... …
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18

On pairs of equations with unequal powers of primes and powers of 2.
Zhu, Li
AIMS Mathematics; 2025, Vol. 10 Issue 2, p1-20, 20p

ADDITIVE number theory INTEGERS CUBES EQUATIONS SQUARE
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19

A note on additive complements of the squares.
Ding, Yuchen ; Sun, Yu-Chen ; Wang, Li-Yuan ; et al.
Discrete Mathematics. Feb2026, Vol. 349 Issue 2, pN.PAG-N.PAG. 1p.

SQUARE ADDITIVE number theory MATHEMATICIANS MATHEMATICAL functions MATHEMATICAL bounds HEURISTIC
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20

On Bh[1]-sets which are asymptotic bases of order 2h
Kiss, Sándor Z. ; Sándor, Csaba
In Journal of Number Theory January 2025 266:350-376

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