Found 330 Documents (Results 1–100)
On the determination of \(p\)-Frobenius and related numbers using the \(p\)-Apéry set. (English) Zbl 07836687
Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio. (English) Zbl 1540.20117
Reviewer: Carmelo Cisto (Messina)
When is a numerical semigroup a quotient? (English) Zbl 1535.20292
Reviewer: Pedro A. García Sánchez (Granada)
Generalized Numerical semigroups up to isomorphism. arXiv:2409.14868
Preprint, arXiv:2409.14868 [math.CO] (2024).
Sufficient conditions for solvability of linear Diophantine equations and Frobenius numbers. arXiv:2408.17266
Preprint, arXiv:2408.17266 [math.NT] (2024).
Semi-covariety of numerical semigroups. arXiv:2407.18984
Preprint, arXiv:2407.18984 [math.AC] (2024).
On unboundedness of some invariants of \(\mathcal{C}\)-semigroups. arXiv:2407.11584
Preprint, arXiv:2407.11584 [math.AC] (2024).
Open problems on relations of numerical semigroups. arXiv:2406.00790
Preprint, arXiv:2406.00790 [math.CO] (2024).
Unboundedness of irreducible decompositions of numerical semigroups. arXiv:2405.11080
Preprint, arXiv:2405.11080 [math.AC] (2024).
On the order of magnitude of certain integer sequences. arXiv:2404.14765
Preprint, arXiv:2404.14765 [math.NT] (2024).
The multiples of a numerical semigroup. arXiv:2402.04413
Preprint, arXiv:2402.04413 [math.GR] (2024).
Reflective numerical semigroups. (English) Zbl 07809956
Reviewer: Pedro A. García Sánchez (Granada)
The Frobenius problem for special progressions. (English) Zbl 07804447
MSC:
11D07
The Frobenius number of a family of numerical semigroups with embedding dimension \(5\). (English) Zbl 1530.20187
The Frobenius problem for numerical semigroups generated by sequences of the form \(ca^n-d\). (English) Zbl 07785779
The set of Arf numerical semigroups with given Frobenius number. (English) Zbl 1522.20225
Reviewer: Peeter Normak (Tallinn)
The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. (English) Zbl 1529.11048
Bounds for invariants of numerical semigroups and Wilf’s conjecture. (English) Zbl 1520.20117
Reviewer: Jiangtao Peng (Tianjin)
A Frobenius problem suggested by prime \(k\)-tuplets. (English) Zbl 1519.11013
Reviewer: Jaak Henno (Tallinn)
Proofs of Chappelon and Ramírez Alfonsín conjectures on square Frobenius numbers and their relationship to simultaneous Pell equations. (English) Zbl 1517.11025
Numerical semigroups without consecutive small elements. (English) Zbl 1522.20226
Reviewer: Pedro A. García Sánchez (Granada)
The Frobenius number associated with the number of representations for sequences of repunits. (English) Zbl 1523.11055
The Frobenius problem for generalized repunit numerical semigroups. (English) Zbl 1507.13021
Reviewer: Pedro A. García Sánchez (Granada)
Considering a Classical Upper Bound on the Frobenius Number. arXiv:2312.15227
Preprint, arXiv:2312.15227 [math.NT] (2023).
The Frobenius problem over real number fields. arXiv:2310.12530
Preprint, arXiv:2310.12530 [math.NT] (2023).
Generalized Frobenius Number of Three Variables. arXiv:2309.09149
Preprint, arXiv:2309.09149 [math.NT] (2023).
Teaching perspectives of the Frobenius coin problem of two denominators. arXiv:2308.03173
Preprint, arXiv:2308.03173 [math.HO] (2023).
An inductive proof of the Frobenius coin problem of two denominators. arXiv:2308.03050
Preprint, arXiv:2308.03050 [math.NT] (2023).
The covariety of perfect numerical semigroups with fixed Frobenius number. arXiv:2305.14967
Preprint, arXiv:2305.14967 [math.AC] (2023).
The covariety of saturated numerical semigroups with fixed Frobenius number. arXiv:2305.13881
Preprint, arXiv:2305.13881 [math.AC] (2023).
The ratio-covariety of numerical semigroups with fixed multiplicity and Frobenius number. arXiv:2305.02070
Preprint, arXiv:2305.02070 [math.AC] (2023).
On the size and structure of \(t\)-representable sumsets. arXiv:2304.08694
Preprint, arXiv:2304.08694 [math.CO] (2023).
\(p\)-numerical semigroup of generalized Fibonacci triples. arXiv:2304.00443
Preprint, arXiv:2304.00443 [math.NT] (2023).
The covariety of numerical semigroups with fixed Frobenius number. arXiv:2302.09121
Preprint, arXiv:2302.09121 [math.AC] (2023).
Length density and numerical semigroups. (English) Zbl 1520.20116
Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 79-98 (2022).
Reviewer: K. C. Chowdhury (Guwahati)
On the Frobenius problem. (Russian. English summary) Zbl 1527.11024
MSC:
11D07
On a class of numerical semigroups with embedding dimension equal to 4. (English) Zbl 1514.20212
Reviewer: Ilia Pirashvili (Augsburg)
The structure of higher sumsets. (English) Zbl 1520.11012
Reviewer: Juanjo Rué Perna (Barcelona)
On the number of solutions to linear Diophantine equation and Frobenius problem. (English. Russian original) Zbl 1522.11015
Comput. Math. Math. Phys. 62, No. 9, 1413-1423 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 9, 1447-1457 (2022).
Reviewer: Alexey Ustinov (Khabarovsk)
Arf numerical semigroups with prime multiplicity. (English) Zbl 1517.20085
Reviewer: Peeter Normak (Tallinn)
The Frobenius number for sequences of triangular numbers associated with number of solutions. (English) Zbl 1498.11093
Reviewer: Anton Shutov (Vladimir)
The square Frobenius number. (English) Zbl 1523.11054
Numerical semigroups generated by quadratic sequences. (English) Zbl 1515.20296
Reviewer: Jaak Henno (Tallinn)
Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number. (English) Zbl 1499.20161
Sylvester power and weighted sums on the Frobenius set in arithmetic progression. (English) Zbl 1495.11051
Reviewer: Anton Shutov (Vladimir)
More on change-making and related problems. (English) Zbl 1491.68126
Reviewer: Roberto Solis-Oba (London)
On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps. (English) Zbl 1515.20298
On Frobenius Formulas of Power Sequences. arXiv:2210.02722
Preprint, arXiv:2210.02722 [math.CO] (2022).
\(p\)-numerical semigroups with \(p\)-symmetric properties. arXiv:2207.08962
Preprint, arXiv:2207.08962 [math.CO] (2022).
On some classes of generalized numerical semigroups. arXiv:2212.12467
Preprint, arXiv:2212.12467 [math.CO] (2022).
The extended Frobenius problem for Lucas series incremented by a Lucas number. arXiv:2211.01436
Preprint, arXiv:2211.01436 [math.NT] (2022).
On Frobenius problem with restrictions on common divisors of coefficients. arXiv:2209.12562
Preprint, arXiv:2209.12562 [math.NT] (2022).
The \(p\)-Frobenius and \(p\)-Sylvester numbers for Fibonacci and Lucas triplets. arXiv:2206.05660
Preprint, arXiv:2206.05660 [math.CO] (2022).
Sylvester sums on the Frobenius set in arithmetic progression. arXiv:2203.12238
Preprint, arXiv:2203.12238 [math.NT] (2022).
Algorithms for calculating the set of integers contained in a monoid finitely generated by positive rational numbers. (English) Zbl 1508.11039
Frobenius numbers and automatic sequences. (English) Zbl 1490.11036
Reviewer: Michel Rigo (Liège)
Sums of finite sets of integers. II. (English) Zbl 1485.11015
Reviewer: Juanjo Rué Perna (Barcelona)
The set of numerical semigroups of a given multiplicity and Frobenius number. (English) Zbl 1521.20128
Algorithms for generalized numerical semigroups. (English) Zbl 1482.20031
Reviewer: Daniel Marín Aragon (Cádiz)
On the solutions of three-variable Frobenius-related problems using order reduction approach. (English) Zbl 1490.11037
Reviewer: Alexey Ustinov (Khabarovsk)
MSC:
11D07
A tight structure theorem for sumsets. (English) Zbl 1496.11048
Reviewer: Jagannath Bhanja (Prayagraj)
On two-generator Fibonacci numerical semigroups with a prescribed genus. (English) Zbl 1495.11050
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 149, 18 p. (2021).
A formula for the conductor of a semimodule of a numerical semigroup with two generators. (English) Zbl 1498.20140
Reviewer: Karl-Heinz Kiyek (Paderborn)
On almost-symmetry in generalized numerical semigroups. (English) Zbl 1475.20091
Reviewer: Daniel Marín Aragon (Cádiz)
The abelian complexity of infinite words and the Frobenius problem. (English) Zbl 1477.68252
Reviewer: Anna Frid (Marseille)
The Frobenius problem for extended Thabit numerical semigroups. (English) Zbl 1475.11044
Reviewer: Peeter Normak (Tallinn)
Book review of: A. Granville, Number theory revealed: an introduction; Number theory revealed: a masterclass. (English) Zbl 1461.00011
MSC:
00A17
11-01
11A05
11A07
11A15
11A41
11A51
11B39
11D04
11D07
11A55
11B30
11D09
11D25
11N05
11N25
Equidistribution of Farey sequences on horospheres in covers of \(\text{SL}(n+1,\mathbb{Z})\backslash \text{SL}(n+1,\mathbb{R})\) and applications. (English) Zbl 1455.37003
Reviewer: Ivan Podvigin (Novosibirsk)
Chromatic sumsets. (English) Zbl 1486.11013
Reviewer: Juanjo Rué Perna (Barcelona)
A Frobenius problem suggested by prime \(k\)-tuplets (extended version). arXiv:2112.05501
Preprint, arXiv:2112.05501 [math.NT] (2021).
A lower bound for the Wilf density, deduced from a result of Zhai. arXiv:2107.06752
Preprint, arXiv:2107.06752 [math.NT] (2021).
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