Garcia, Stephan Ramon; Omar, Mohamed; O’Neill, Christopher; Wesley, Timothy Factorization length distribution for affine semigroups. III: Modular equidistribution for numerical semigroups with arbitrarily many generators. (English) Zbl 1514.20214 J. Aust. Math. Soc. 113, No. 1, 21-35 (2022). MSC: 20M14 20M13 11R27 05E40 PDFBibTeX XMLCite \textit{S. R. Garcia} et al., J. Aust. Math. Soc. 113, No. 1, 21--35 (2022; Zbl 1514.20214) Full Text: DOI arXiv
Garcia, Stephan Ramon; O’Neill, Christopher; Udell, Gabe Factorization length distribution for affine semigroups. IV: A geometric approach to weighted factorization lengths in three-generator numerical semigroups. (English) Zbl 1523.20102 Commun. Algebra 50, No. 8, 3481-3497 (2022). Reviewer: Manuel Delgado (Porto) MSC: 20M13 20M14 11R27 05E40 PDFBibTeX XMLCite \textit{S. R. Garcia} et al., Commun. Algebra 50, No. 8, 3481--3497 (2022; Zbl 1523.20102) Full Text: DOI arXiv
Garcia, Stephan Ramon; Omar, Mohamed; O’Neill, Christopher; Yih, Samuel Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators. (English) Zbl 1477.20115 J. Comb. Theory, Ser. A 178, Article ID 105358, 35 p. (2021). Reviewer: Qinghai Zhong (Graz) MSC: 20M14 20M13 11R27 13A05 PDFBibTeX XMLCite \textit{S. R. Garcia} et al., J. Comb. Theory, Ser. A 178, Article ID 105358, 35 p. (2021; Zbl 1477.20115) Full Text: DOI arXiv
Castillo, Angelica; Flores, Stephanie; Hernandez, Anabel; Kronholm, Brandt; Larsen, Acadia; Martinez, Arturo Quasipolynomials and maximal coefficients of Gaussian polynomials. (English) Zbl 1456.11194 Ann. Comb. 23, No. 3-4, 589-611 (2019). MSC: 11P81 05A15 PDFBibTeX XMLCite \textit{A. Castillo} et al., Ann. Comb. 23, No. 3--4, 589--611 (2019; Zbl 1456.11194) Full Text: DOI
O’Neill, Christopher; Pelayo, Roberto Apéry sets of shifted numerical monoids. (English) Zbl 1402.20066 Adv. Appl. Math. 97, 27-35 (2018). MSC: 20M14 20M13 11D07 PDFBibTeX XMLCite \textit{C. O'Neill} and \textit{R. Pelayo}, Adv. Appl. Math. 97, 27--35 (2018; Zbl 1402.20066) Full Text: DOI arXiv
Kozuka, Kazuhito Counting lattice points in certain rational polytopes and generalized Dedekind sums. (English) Zbl 1384.05028 Funct. Approximatio, Comment. Math. 55, No. 2, 199-214 (2016). MSC: 05A15 11F20 PDFBibTeX XMLCite \textit{K. Kozuka}, Funct. Approximatio, Comment. Math. 55, No. 2, 199--214 (2016; Zbl 1384.05028) Full Text: DOI Euclid
Fox, Nathan Quasipolynomial solutions to the Hofstadter \(Q\)-recurrence. (English) Zbl 1404.11014 Integers 16, Paper A68, 7 p. (2016). MSC: 11B37 PDFBibTeX XMLCite \textit{N. Fox}, Integers 16, Paper A68, 7 p. (2016; Zbl 1404.11014) Full Text: arXiv EMIS
Breuer, Felix An invitation to Ehrhart theory: polyhedral geometry and its applications in enumerative combinatorics. (English) Zbl 1437.52010 Gutierrez, Jaime (ed.) et al., Computer algebra and polynomials. Applications of algebra and number theory. Berlin: Springer. Lect. Notes Comput. Sci. 8942, 1-29 (2015). MSC: 52B20 13M10 11C08 05A17 90C05 90C10 PDFBibTeX XMLCite \textit{F. Breuer}, Lect. Notes Comput. Sci. 8942, 1--29 (2015; Zbl 1437.52010) Full Text: DOI arXiv
Andrews, George E.; Beck, Matthias; Robbins, Neville Partitions with fixed differences between largest and smallest parts. (English) Zbl 1328.11106 Proc. Am. Math. Soc. 143, No. 10, 4283-4289 (2015). Reviewer: Mircea Merca (Cornu) MSC: 11P84 05A17 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Proc. Am. Math. Soc. 143, No. 10, 4283--4289 (2015; Zbl 1328.11106) Full Text: DOI arXiv
Calegari, Danny; Walker, Alden Integer hulls of linear polyhedra and scl in families. (English) Zbl 1300.11100 Trans. Am. Math. Soc. 365, No. 10, 5085-5102 (2013). MSC: 11P21 11H06 57M07 20F65 20J05 PDFBibTeX XMLCite \textit{D. Calegari} and \textit{A. Walker}, Trans. Am. Math. Soc. 365, No. 10, 5085--5102 (2013; Zbl 1300.11100) Full Text: DOI arXiv
Beck, Matthias; Bogart, Tristram; Pham, Tu Enumeration of Golomb rulers and acyclic orientations of mixed graphs. (English) Zbl 1253.05014 Electron. J. Comb. 19, No. 3, Research Paper P42, 13 p. (2012). MSC: 05A15 05C15 11P21 52C35 PDFBibTeX XMLCite \textit{M. Beck} et al., Electron. J. Comb. 19, No. 3, Research Paper P42, 13 p. (2012; Zbl 1253.05014) Full Text: arXiv Link
De Loera, Jesús A. The many aspects of counting lattice points in polytopes. (English) Zbl 1093.52006 Math. Semesterber. 52, No. 2, 175-195 (2005). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 11P21 11H06 05A15 PDFBibTeX XMLCite \textit{J. A. De Loera}, Math. Semesterber. 52, No. 2, 175--195 (2005; Zbl 1093.52006) Full Text: DOI
Beck, Matthias; Diaz, Ricardo; Robins, Sinai The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. (English) Zbl 1038.11026 J. Number Theory 96, No. 1, 1-21 (2002). Reviewer: Tom M. Apostol (Pasadena) MSC: 11F20 11D04 11P21 PDFBibTeX XMLCite \textit{M. Beck} et al., J. Number Theory 96, No. 1, 1--21 (2002; Zbl 1038.11026) Full Text: DOI arXiv
Frumkin, M. A. On the number of nonnegative integer solutions of a system of linear Diophantine equations. (English) Zbl 0477.90048 Ann. Discrete Math. 11, 95-108 (1981). Reviewer: M. Frumkin MSC: 11D04 90C10 PDFBibTeX XMLCite \textit{M. A. Frumkin}, Ann. Discrete Math. 11, 95--108 (1981; Zbl 0477.90048) Full Text: DOI