The Frobenius problem for numerical semigroups generated by the Thabit numbers of the first, second kind base b and the Cunningham numbers

K Song - Bulletin of the Korean Mathematical Society, 2020 - koreascience.kr
The greatest integer that does not belong to a numerical semigroup S is called the
Frobenius number of S. The Frobenius problem, which is also called the coin problem or the …

[PDF][PDF] Frobenius Numbers Associated with Diophantine Triples of x2-y2= zr

R Yin, T Komatsu - Symmetry, 2024 - nagasaki-u.repo.nii.ac.jp
We give an explicit formula for the p-Frobenius number of triples associated with
Diophantine Equations x2− y2= zr (r≥ 2), that is, the largest positive integer that can only be …

THE FROBENIUS PROBLEM FOR EXTENDED THABIT NUMERICAL SEMIGROUPS.

K Song - … Electronic Journal of Combinatorial Number Theory, 2021 - search.ebscohost.com
The greatest integer that does not belong to a numerical semigroup S is called the
Frobenius number of S, and finding the Frobenius number is called the Frobenius problem …

The Frobenius Problem for the Proth Numbers

P Srivastava, D Thakkar - Conference on Algorithms and Discrete Applied …, 2024 - Springer
Let n be a positive integer greater than 2. We define the Proth numerical semigroup, P k (n),
generated by {k 2 n+ i+ 1∣ i∈ N}, where k is an odd positive number and k< 2 n. In this …

[PDF][PDF] The Frobenius problems for Sexy Prime Triplets

WT Hwang, K Song - Int. J. Math. Comput. Sci, 2023 - ijmcs.future-in-tech.net
The greatest integer that does not belong to a numerical semigroup S is called the
Frobenius number of S. The Frobenius problem, which is also called the coin problem or the …

Frobenius numbers associated with Diophantine triples of (extended version)

T Komatsu, N Gupta, M Upreti - arxiv preprint arxiv:2403.07534, 2024 - arxiv.org
We give an explicit formula for the $ p $-Frobenius number of triples associated with
Diophantine equations $ x^ 2+ y^ 2= z^ r $, that is, the largest positive integer that can only …

[PDF][PDF] Formulae of the Frobenius number in relatively prime three Lucas numbers

R Bokaew, B Yuttanan, S Mavecha - Songklanakarin J. Sci. Technol, 2020 - thaiscience.info
Formulae of the Frobenius number in relatively prime three Lucas numbers Page 1 *Corresponding
author Email address: sukrawan.ta@kmitl.ac.th Songklanakarin J. Sci. Technol. 42 (5), 1077-1083 …

The Frobenius problem for Binomial Coefficients

WT Hwang, K Song - arxiv preprint arxiv:2412.17882, 2024 - arxiv.org
arxiv:2412.17882v1 [math.NT] 23 Dec 2024 The Frobenius problem for Binomial
Coefficients Page 1 arxiv:2412.17882v1 [math.NT] 23 Dec 2024 The Frobenius problem for …

FROBENIUS NUMBERS ASSOCIATED WITH DIOPHANTINE TRIPLES OF

T KOMATSU, N GUPTA, M UPRETI - Bulletin of the Australian …, 2024 - cambridge.org
FROBENIUS NUMBERS ASSOCIATED WITH DIOPHANTINE TRIPLES OF x2 + y2 = z3 Page 1
Bull. Aust. Math. Soc. (First published online 2024), page 1 of 10 ∗ doi:10.1017/S0004972724000960 …

[PDF][PDF] p-numerical semigroups of Pythagorean triples

T Komatsu, B Sury - Preprint, 2023 - isibang.ac.in
We give an explicit formula for the p-Frobenius number of primitive Pythagorean triples, that
is the largest positive integer that can only be represented in p ways by combining the three …