Lev, Vsevolod F. A nonlinear bound for the number of subsequence sums. (English) Zbl 07824136 Eur. J. Comb. 118, Article ID 103907, 9 p. (2024). MSC: 11Bxx 11Pxx 20Kxx PDFBibTeX XMLCite \textit{V. F. Lev}, Eur. J. Comb. 118, Article ID 103907, 9 p. (2024; Zbl 07824136) Full Text: DOI arXiv
Ebert, John J.; Grynkiewicz, David J. Structure of a sequence with prescribed zero-sum subsequences: rank two \(p\)-groups. (English) Zbl 07824130 Eur. J. Comb. 118, Article ID 103888, 13 p. (2024). MSC: 11Bxx 20Kxx 11Pxx PDFBibTeX XMLCite \textit{J. J. Ebert} and \textit{D. J. Grynkiewicz}, Eur. J. Comb. 118, Article ID 103888, 13 p. (2024; Zbl 07824130) Full Text: DOI arXiv
Gao, Weidong; Hui, Wanzhen; Li, Xue; Li, Yuanlin; Qu, Yongke; Zhong, Qinghai On generalized Narkiewicz constants of finite abelian groups. (English) Zbl 07810303 Acta Arith. 212, No. 2, 133-172 (2024). MSC: 11R27 11B30 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Acta Arith. 212, No. 2, 133--172 (2024; Zbl 07810303) Full Text: DOI
Biswas, Anamitro; Mazumdar, Eshita Davenport constant for finite abelian groups with higher rank. arXiv:2402.09999 Preprint, arXiv:2402.09999 [math.NT] (2024). MSC: 11B75 11P99 20K01 BibTeX Cite \textit{A. Biswas} and \textit{E. Mazumdar}, ``Davenport constant for finite abelian groups with higher rank'', Preprint, arXiv:2402.09999 [math.NT] (2024) Full Text: arXiv OA License
Anabanti, C. S. The Ramsey number \(R_4 (3)\) is not solvable by group partition means. (English) Zbl 07798612 Quasigroups Relat. Syst. 31, No. 2, 165-174 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20D60 20P05 11B13 PDFBibTeX XMLCite \textit{C. S. Anabanti}, Quasigroups Relat. Syst. 31, No. 2, 165--174 (2023; Zbl 07798612) Full Text: DOI Link
Daza, David; Huicochea, Mario; Martos, Carlos; Trujillo, Carlos A Freiman-type theorem for restricted sumsets. (English) Zbl 1528.11007 Int. J. Number Theory 19, No. 10, 2309-2332 (2023). MSC: 11B13 11P70 20K99 PDFBibTeX XMLCite \textit{D. Daza} et al., Int. J. Number Theory 19, No. 10, 2309--2332 (2023; Zbl 1528.11007) Full Text: DOI
Fanlo, A. Rodriguez On piecewise hyperdefinable groups. (English) Zbl 07712959 J. Math. Log. 23, No. 3, Article ID 2250027, 68 p. (2023). MSC: 03C68 03C45 11P70 20A15 PDFBibTeX XMLCite \textit{A. R. Fanlo}, J. Math. Log. 23, No. 3, Article ID 2250027, 68 p. (2023; Zbl 07712959) Full Text: DOI arXiv
Avelar, D. V.; Brochero Martínez, F. E.; Ribas, S. On the direct and inverse zero-sum problems over \(C_n \rtimes_s C_2\). (English) Zbl 1518.11009 J. Comb. Theory, Ser. A 197, Article ID 105751, 18 p. (2023). Reviewer: Jinhui Fang (Nanjing) MSC: 11B13 11B75 20D60 11P70 PDFBibTeX XMLCite \textit{D. V. Avelar} et al., J. Comb. Theory, Ser. A 197, Article ID 105751, 18 p. (2023; Zbl 1518.11009) Full Text: DOI arXiv
Huicochea, Mario A Kneser-type theorem for restricted sumsets. (English) Zbl 1525.11115 SIAM J. Discrete Math. 37, No. 1, 83-93 (2023). MSC: 11P70 20D60 11B75 PDFBibTeX XMLCite \textit{M. Huicochea}, SIAM J. Discrete Math. 37, No. 1, 83--93 (2023; Zbl 1525.11115) Full Text: DOI
Zhao, Kevin The Davenport constant of the group \(C_2^{r-1} \oplus C_{2k}\). (English) Zbl 1526.11008 Electron. J. Comb. 30, No. 1, Research Paper P1.49, 24 p. (2023). Reviewer: Müge Saadetoğlu (Gazimağusa) MSC: 11B75 20K01 20D60 PDFBibTeX XMLCite \textit{K. Zhao}, Electron. J. Comb. 30, No. 1, Research Paper P1.49, 24 p. (2023; Zbl 1526.11008) Full Text: DOI
Krupiński, Krzysztof; Pillay, Anand Generalized locally compact models for approximate groups. arXiv:2310.20683 Preprint, arXiv:2310.20683 [math.LO] (2023). MSC: 03C60 03C98 37B02 54H11 11B30 11P70 20A15 20N99 BibTeX Cite \textit{K. Krupiński} and \textit{A. Pillay}, ``Generalized locally compact models for approximate groups'', Preprint, arXiv:2310.20683 [math.LO] (2023) Full Text: arXiv OA License
Bushaw, Neal; Hurlbert, Glenn Thresholds for zero-sums with small cross numbers in abelian groups. arXiv:2309.03455 Preprint, arXiv:2309.03455 [math.CO] (2023). MSC: 11P70 20K01 60C05 BibTeX Cite \textit{N. Bushaw} and \textit{G. Hurlbert}, ``Thresholds for zero-sums with small cross numbers in abelian groups'', Preprint, arXiv:2309.03455 [math.CO] (2023) Full Text: arXiv OA License
Cotterill, Ethan; Kaplan, Nathan; Costa, Renata Vieira Cusps in \(\mathbb{C}^3\) with prescribed ramification. arXiv:2303.09303 Preprint, arXiv:2303.09303 [math.AG] (2023). MSC: 14H20 14H45 14H51 52B20 11Pxx 20Mxx BibTeX Cite \textit{E. Cotterill} et al., ``Cusps in $\mathbb{C}^3$ with prescribed ramification'', Preprint, arXiv:2303.09303 [math.AG] (2023) Full Text: arXiv OA License
Bienvenu, Pierre-Yves; Hennecart, François Kneser’s theorem in \(\sigma\)-finite abelian groups. (English) Zbl 1525.11114 Can. Math. Bull. 65, No. 4, 936-942 (2022). MSC: 11P70 11B05 20K99 PDFBibTeX XMLCite \textit{P.-Y. Bienvenu} and \textit{F. Hennecart}, Can. Math. Bull. 65, No. 4, 936--942 (2022; Zbl 1525.11114) Full Text: DOI arXiv
Dwivedi, Himanshu Kumar; Mistri, Raj Kumar Direct and inverse problems for subset sums with certain restrictions. (English) Zbl 1514.11014 Integers 22, Paper A112, 13 p. (2022). MSC: 11B13 20K01 11P70 PDFBibTeX XMLCite \textit{H. K. Dwivedi} and \textit{R. K. Mistri}, Integers 22, Paper A112, 13 p. (2022; Zbl 1514.11014) Full Text: Link
Bell, Greg; Lawson, Austin; Pritchard, C. Neil; Yasaki, Dan An exploration of Nathanson’s \(g\)-adic representations of integers. (English) Zbl 1521.11009 Involve 15, No. 5, 727-738 (2022). MSC: 11B13 11A67 11P81 20F65 PDFBibTeX XMLCite \textit{G. Bell} et al., Involve 15, No. 5, 727--738 (2022; Zbl 1521.11009) Full Text: DOI arXiv
Bajnok, Béla; Berson, Connor; Just, Hoang Anh On perfect bases in finite abelian groups. (English) Zbl 1507.11013 Involve 15, No. 3, 525-536 (2022). MSC: 11B13 05B10 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok} et al., Involve 15, No. 3, 525--536 (2022; Zbl 1507.11013) Full Text: DOI arXiv
Wang, Mingrui; Hu, Yuting Inverse problems of subset sums of zero-sum free set with six elements in finite abelian groups. (English) Zbl 1513.11169 JP J. Algebra Number Theory Appl. 59, 17-31 (2022). MSC: 11P70 11B13 20K01 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Y. Hu}, JP J. Algebra Number Theory Appl. 59, 17--31 (2022; Zbl 1513.11169) Full Text: DOI
Gao, Weidong; Hong, Siao; Hui, Wanzhen; Li, Xue; Yin, Qiuyu; Zhao, Pingping Representation of zero-sum invariants by sets of zero-sum sequences over a finite abelian group. II. (English) Zbl 1503.11018 J. Number Theory 241, 738-760 (2022). Reviewer: Georges Grekos (St. Étienne) MSC: 11B30 11R27 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., J. Number Theory 241, 738--760 (2022; Zbl 1503.11018) Full Text: DOI
Gao, Weidong; Hong, Siao; Hui, Wanzhen; Li, Xue; Yin, Qiuyu; Zhao, Pingping Representation of zero-sum invariants by sets of zero-sum sequences over a finite abelian group. (English) Zbl 1503.11017 Period. Math. Hung. 85, No. 1, 52-71 (2022). Reviewer: Georges Grekos (St. Étienne) MSC: 11B30 11B13 11B50 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Period. Math. Hung. 85, No. 1, 52--71 (2022; Zbl 1503.11017) Full Text: DOI
Peng, Jiangtao; Peng, Yunbiao On subsequence sums of zero-sum free sequences over \(C_8 \oplus C_8\). (English) Zbl 1513.11023 JP J. Algebra Number Theory Appl. 55, 73-77 (2022). MSC: 11B13 11B75 20K01 PDFBibTeX XMLCite \textit{J. Peng} and \textit{Y. Peng}, JP J. Algebra Number Theory Appl. 55, 73--77 (2022; Zbl 1513.11023) Full Text: DOI
Qu, Yongke; Li, Yuanlin Additive bases of \(C_3\oplus C_{3q}\). (English) Zbl 1510.11031 Colloq. Math. 169, No. 2, 189-195 (2022). MSC: 11B13 11P70 20K01 PDFBibTeX XMLCite \textit{Y. Qu} and \textit{Y. Li}, Colloq. Math. 169, No. 2, 189--195 (2022; Zbl 1510.11031) Full Text: DOI arXiv
Brochero Martínez, Fabio Enrique; Ribas, Sávio The \(\{1,s\}\)-weighted Davenport constant in \(C_n^k\). (English) Zbl 1493.11023 Integers 22, Paper A36, 18 p. (2022). MSC: 11B13 11B75 20K01 PDFBibTeX XMLCite \textit{F. E. Brochero Martínez} and \textit{S. Ribas}, Integers 22, Paper A36, 18 p. (2022; Zbl 1493.11023) Full Text: arXiv Link
Adhikari, Sukumar Das; Hedge, Shruti; Molla, Md Ibrahim; Sarkar, Subha Inverse problems related to some weighted zero-sum constants for cyclic groups. (English) Zbl 1494.11030 Integers 22, Paper A7, 9 p. (2022). Reviewer: Jinhui Fang (Nanjing) MSC: 11B75 11B13 20D60 11P70 PDFBibTeX XMLCite \textit{S. D. Adhikari} et al., Integers 22, Paper A7, 9 p. (2022; Zbl 1494.11030) Full Text: Link
Grynkiewicz, David J.; Liu, Chao A multiplicative property for zero-sums. I. (English) Zbl 1502.11017 Discrete Math. 345, No. 10, Article ID 112974, 21 p. (2022). Reviewer: Uzi Vishne (Ramat Gan) MSC: 11B13 11B30 11P70 05B10 11B75 20K01 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} and \textit{C. Liu}, Discrete Math. 345, No. 10, Article ID 112974, 21 p. (2022; Zbl 1502.11017) Full Text: DOI arXiv
Gao, Weidong; Hui, Wanzhen; Li, Xue; Qin, Xiaoer; Yin, Qiuyu On tiny zero-sum sequences over finite abelian groups. (English) Zbl 1497.11049 Colloq. Math. 168, No. 2, 311-324 (2022). Reviewer: Qinghai Zhong (Graz) MSC: 11B50 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Colloq. Math. 168, No. 2, 311--324 (2022; Zbl 1497.11049) Full Text: DOI
Biswas, Arindam; Moens, Wolfgang Alexander On semilinear sets and asymptotic approximate groups. (English) Zbl 1509.20058 Adv. Appl. Math. 137, Article ID 102330, 13 p. (2022). Reviewer: Luca Sabatini (Firenze) MSC: 20F69 11B13 11P70 11H31 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{W. A. Moens}, Adv. Appl. Math. 137, Article ID 102330, 13 p. (2022; Zbl 1509.20058) Full Text: DOI arXiv
Chintamani, Mohan; Paul, Prabal A weighted Erdős-Ginzburg-Ziv constant for finite abelian groups with higher rank. (English) Zbl 1493.11041 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 13, 10 p. (2022). MSC: 11B50 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{M. Chintamani} and \textit{P. Paul}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 13, 10 p. (2022; Zbl 1493.11041) Full Text: DOI
Fanlo, A. Rodriguez; Wagner, F. O. Rough Approximate subgroups. arXiv:2209.03529 Preprint, arXiv:2209.03529 [math.LO] (2022). MSC: 03C98 11P70 20A15 BibTeX Cite \textit{A. R. Fanlo} and \textit{F. O. Wagner}, ``Rough Approximate subgroups'', Preprint, arXiv:2209.03529 [math.LO] (2022) Full Text: arXiv OA License
Krupiński, Krzysztof Locally compact models for approximate rings. arXiv:2203.05609 Preprint, arXiv:2203.05609 [math.LO] (2022). MSC: 03C60 03C98 11B30 11P70 16B70 17A01 20A15 20N99 BibTeX Cite \textit{K. Krupiński}, ``Locally compact models for approximate rings'', Preprint, arXiv:2203.05609 [math.LO] (2022) Full Text: arXiv OA License
Wang, Han; Sun, Zhi-Wei On two new kinds of restricted sumsets. arXiv:2210.12044 Preprint, arXiv:2210.12044 [math.NT] (2022). MSC: 11B13 11P70 05E16 20K15 BibTeX Cite \textit{H. Wang} and \textit{Z.-W. Sun}, ``On two new kinds of restricted sumsets'', Preprint, arXiv:2210.12044 [math.NT] (2022) Full Text: arXiv OA License
Hrushovski, E.; Fanlo, A. Rodriguez On metric approximate subgroups. arXiv:2209.01262 Preprint, arXiv:2209.01262 [math.GR] (2022). MSC: 03C98 11P70 20N99 20A15 BibTeX Cite \textit{E. Hrushovski} and \textit{A. R. Fanlo}, ``On metric approximate subgroups'', Preprint, arXiv:2209.01262 [math.GR] (2022) Full Text: arXiv OA License
Arsovski, Bodan Additive bases via Fourier analysis. (English) Zbl 1507.11089 Comb. Probab. Comput. 30, No. 6, 930-941 (2021). MSC: 11P70 05D40 20K01 PDFBibTeX XMLCite \textit{B. Arsovski}, Comb. Probab. Comput. 30, No. 6, 930--941 (2021; Zbl 1507.11089) Full Text: DOI
Bashir, Aqsa; Geroldinger, Alfred; Zhong, Qinghai On a zero-sum problem arising from factorization theory. (English) Zbl 1502.13005 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 11-24 (2021). Reviewer: Moshe Roitman (Haifa) MSC: 13A05 11P70 20M13 11B75 PDFBibTeX XMLCite \textit{A. Bashir} et al., Springer Proc. Math. Stat. 347, 11--24 (2021; Zbl 1502.13005) Full Text: DOI arXiv
Shkredov, Ilya D. Non-commutative methods in additive combinatorics and number theory. (English. Russian original) Zbl 1491.11017 Russ. Math. Surv. 76, No. 6, 1065-1122 (2021); translation from Usp. Mat. Nauk 76, No. 6, 119-180 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B30 05E16 11B75 11J70 11L07 20F69 PDFBibTeX XMLCite \textit{I. D. Shkredov}, Russ. Math. Surv. 76, No. 6, 1065--1122 (2021; Zbl 1491.11017); translation from Usp. Mat. Nauk 76, No. 6, 119--180 (2021) Full Text: DOI
García-García, Juan Ignacio; Marín-Aragón, Daniel; Torres, Fernando; Vigneron-Tenorio, Alberto On reducible non-Weierstrass semigroups. (English) Zbl 1485.14056 Open Math. 19, 1134-1144 (2021). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 14H55 11P70 20M14 PDFBibTeX XMLCite \textit{J. I. García-García} et al., Open Math. 19, 1134--1144 (2021; Zbl 1485.14056) Full Text: DOI arXiv
Chintamani, Mohan; Laishram, Shanta; Paul, Prabal On a problem in additive number theory. (English) Zbl 1509.11010 J. Ramanujan Math. Soc. 36, No. 3, 179-191 (2021). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11B13 11P70 20K01 PDFBibTeX XMLCite \textit{M. Chintamani} et al., J. Ramanujan Math. Soc. 36, No. 3, 179--191 (2021; Zbl 1509.11010) Full Text: Link
Zakarczemny, Maciej Szymon Note on the Davenport constant for finite abelian groups with rank three. (English) Zbl 1485.11145 Acta Math. Univ. Comen., New Ser. 90, No. 1, 1-6 (2021). Reviewer: Lajos Hajdu (Debrecen) MSC: 11P70 20K01 11B50 PDFBibTeX XMLCite \textit{M. S. Zakarczemny}, Acta Math. Univ. Comen., New Ser. 90, No. 1, 1--6 (2021; Zbl 1485.11145) Full Text: arXiv Link
Sun, Zhi-Wei On permutations of \(\{1,\ldots ,n\}\) and related topics. (English) Zbl 1478.05006 J. Algebr. Comb. 54, No. 3, 893-912 (2021). MSC: 05A05 11B75 11B13 11B39 20D60 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Algebr. Comb. 54, No. 3, 893--912 (2021; Zbl 1478.05006) Full Text: DOI arXiv Backlinks: MO
Tointon, Matthew C. H. Polylogarithmic bounds in the nilpotent Freiman theorem. (English) Zbl 1498.11044 Math. Proc. Camb. Philos. Soc. 170, No. 1, 111-127 (2021). MSC: 11B30 11P70 20F18 PDFBibTeX XMLCite \textit{M. C. H. Tointon}, Math. Proc. Camb. Philos. Soc. 170, No. 1, 111--127 (2021; Zbl 1498.11044) Full Text: DOI arXiv
Antoniou, Austin A.; Tringali, Salvatore On the arithmetic of power monoids and sumsets in cyclic groups. (English) Zbl 1502.11020 Pac. J. Math. 312, No. 2, 279-308 (2021). MSC: 11B30 11P70 20M13 11B13 PDFBibTeX XMLCite \textit{A. A. Antoniou} and \textit{S. Tringali}, Pac. J. Math. 312, No. 2, 279--308 (2021; Zbl 1502.11020) Full Text: DOI arXiv
García-García, J. I.; Marín-Aragón, D.; Vigneron-Tenorio, A. On the ideal of some sumset semigroups. arXiv:2102.04100 Preprint, arXiv:2102.04100 [math.NT] (2021). MSC: 11B13 11P70 13P25 20M12 20M14 BibTeX Cite \textit{J. I. García-García} et al., ``On the ideal of some sumset semigroups'', Preprint, arXiv:2102.04100 [math.NT] (2021) Full Text: arXiv OA License
Breuillard, Emmanuel Approximate groups and their applications. (English) Zbl 1523.11021 Szczepański, Andrzej (ed.), Andrzej Jankowski memorial lectures. Gdańsk 1999–2018. With an introduction by the editor. Gdańsk: Gdańsk University Press. 72-78 (2020). MSC: 11B30 11-03 20F65 20D15 22D10 11P70 PDFBibTeX XMLCite \textit{E. Breuillard}, in: Andrzej Jankowski memorial lectures. Gdańsk 1999--2018. With an introduction by the editor. Gdańsk: Gdańsk University Press. 72--78 (2020; Zbl 1523.11021)
Nieto, Jesús; Quiroz, Domingo; Viloria, José On inverse problems for sets in \(\mathbb{Z}^n_3\). (English) Zbl 1488.11158 Math. Rep., Buchar. 22(72), No. 1, 41-50 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 20K01 PDFBibTeX XMLCite \textit{J. Nieto} et al., Math. Rep., Buchar. 22(72), No. 1, 41--50 (2020; Zbl 1488.11158)
Gao, Weidong; Hong, Siao; Li, Xue; Yin, Qiuyu; Zhao, Pingping Long sequences having no two nonempty zero-sum subsequences of distinct lengths. (English) Zbl 1459.11070 Acta Arith. 196, No. 4, 329-347 (2020). MSC: 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Acta Arith. 196, No. 4, 329--347 (2020; Zbl 1459.11070) Full Text: DOI
Oh, Jun Seok; Zhong, Qinghai On minimal product-one sequences of maximal length over dihedral and dicyclic groups. (English) Zbl 1509.20033 Commun. Korean Math. Soc. 35, No. 1, 83-116 (2020). MSC: 20D60 20M13 11B75 11P70 PDFBibTeX XMLCite \textit{J. S. Oh} and \textit{Q. Zhong}, Commun. Korean Math. Soc. 35, No. 1, 83--116 (2020; Zbl 1509.20033) Full Text: DOI arXiv
Longobardi, Patrizia; Maj, Mercede Small doubling in \(m\)-Engel groups. (English) Zbl 1443.20064 Int. J. Group Theory 9, No. 4, 277-291 (2020). MSC: 20F45 11P70 20F60 05E16 11B30 PDFBibTeX XMLCite \textit{P. Longobardi} and \textit{M. Maj}, Int. J. Group Theory 9, No. 4, 277--291 (2020; Zbl 1443.20064) Full Text: DOI
Kurdachenko, Leonid A.; Longobardi, Patrizia; Maj, Mercede Groups with numerical restrictions on minimal generating sets. (English) Zbl 1443.20057 Int. J. Group Theory 9, No. 2, 95-111 (2020). MSC: 20F05 20E34 11P70 PDFBibTeX XMLCite \textit{L. A. Kurdachenko} et al., Int. J. Group Theory 9, No. 2, 95--111 (2020; Zbl 1443.20057) Full Text: DOI
Oh, Jun Seok; Zhong, Qinghai On Erdős-Ginzburg-Ziv inverse theorems for dihedral and dicyclic groups. (English) Zbl 1468.11080 Isr. J. Math. 238, No. 2, 715-743 (2020). Reviewer: Sándor Kiss (Budapest) MSC: 11B75 11P70 20D60 PDFBibTeX XMLCite \textit{J. S. Oh} and \textit{Q. Zhong}, Isr. J. Math. 238, No. 2, 715--743 (2020; Zbl 1468.11080) Full Text: DOI arXiv
Gao, Weidong; Qu, Yongke; Zhang, Hanbin On additive bases. III. (English) Zbl 1461.11025 Acta Arith. 193, No. 3, 293-308 (2020). MSC: 11B13 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Acta Arith. 193, No. 3, 293--308 (2020; Zbl 1461.11025) Full Text: DOI
Hooshmand, M. H. Index, sub-index and sub-factor of groups with interactions to number theory. (English) Zbl 1528.20081 J. Algebra Appl. 19, No. 6, Article ID 2050101, 23 p. (2020). MSC: 20F99 11P32 20E34 PDFBibTeX XMLCite \textit{M. H. Hooshmand}, J. Algebra Appl. 19, No. 6, Article ID 2050101, 23 p. (2020; Zbl 1528.20081) Full Text: DOI
Abdollahi, Alireza; Jafari, Fatemeh Cardinality of product sets in torsion-free groups and applications in group algebras. (English) Zbl 1506.20068 J. Algebra Appl. 19, No. 4, Article ID 2050079, 24 p. (2020). MSC: 20E34 20F05 20C05 11B13 11P70 16S34 PDFBibTeX XMLCite \textit{A. Abdollahi} and \textit{F. Jafari}, J. Algebra Appl. 19, No. 4, Article ID 2050079, 24 p. (2020; Zbl 1506.20068) Full Text: DOI arXiv
Girard, B.; Schmid, W. A. Inverse zero-sum problems for certain groups of rank three. (English) Zbl 1463.11024 Acta Math. Hung. 160, No. 1, 229-247 (2020). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B30 11P70 20K01 PDFBibTeX XMLCite \textit{B. Girard} and \textit{W. A. Schmid}, Acta Math. Hung. 160, No. 1, 229--247 (2020; Zbl 1463.11024) Full Text: DOI arXiv
Grynkiewicz, David J.; Wang, Chunlin; Zhao, Kevin The structure of a sequence with prescribed zero-sum subsequences. (English) Zbl 1465.11049 Integers 20, Paper A3, 31 p. (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11B75 11P70 20K01 11R27 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} et al., Integers 20, Paper A3, 31 p. (2020; Zbl 1465.11049) Full Text: Link
Sun, Fang; Li, Yuanlin; Peng, Jiangtao A note on the inverse problems associated with subsequence sums. (English) Zbl 1483.11040 J. Comb. Math. Comb. Comput. 111, 3-8 (2019). Reviewer: Guoqing Wang (Tianjin) MSC: 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{F. Sun} et al., J. Comb. Math. Comb. Comput. 111, 3--8 (2019; Zbl 1483.11040)
King, Dylan A.; Martinez, Thomas C.; Miller, Steven J.; Sun, Chenyang Book review of: B. Bajnok, Additive combinatorics. A menu of research problems. (English) Zbl 1436.00019 Am. Math. Mon. 126, No. 10, 955-958 (2019). MSC: 00A17 11-02 05-02 11B30 05D05 05A15 06A07 11B13 11P70 20D60 20K01 51E05 52-02 PDFBibTeX XMLCite \textit{D. A. King} et al., Am. Math. Mon. 126, No. 10, 955--958 (2019; Zbl 1436.00019) Full Text: DOI
Brochero Martínez, F. E.; Ribas, Sávio Extremal product-one free sequences in \(C_q\rtimes_s C_m\). (English) Zbl 1429.11051 J. Number Theory 204, 334-353 (2019). MSC: 11B75 11P70 20D60 PDFBibTeX XMLCite \textit{F. E. Brochero Martínez} and \textit{S. Ribas}, J. Number Theory 204, 334--353 (2019; Zbl 1429.11051) Full Text: DOI arXiv
Tointon, Matthew C. H. Approximate subgroups of residually nilpotent groups. (English) Zbl 1484.11043 Math. Ann. 374, No. 1-2, 499-515 (2019). MSC: 11B30 11P70 20E26 PDFBibTeX XMLCite \textit{M. C. H. Tointon}, Math. Ann. 374, No. 1--2, 499--515 (2019; Zbl 1484.11043) Full Text: DOI arXiv
Shao, Xuancheng; Xu, Wenqiang A robust version of Freiman’s \(3k-4\) theorem and applications. (English) Zbl 1473.11025 Math. Proc. Camb. Philos. Soc. 166, No. 3, 567-581 (2019). MSC: 11B13 11P70 20K99 PDFBibTeX XMLCite \textit{X. Shao} and \textit{W. Xu}, Math. Proc. Camb. Philos. Soc. 166, No. 3, 567--581 (2019; Zbl 1473.11025) Full Text: DOI arXiv
Peng, Jiangtao; Hui, Wanzhen; Li, Yuanlin; Sun, Fang On subset sums of zero-sum free sets of abelian groups. (English) Zbl 1447.11040 Int. J. Number Theory 15, No. 3, 645-654 (2019). MSC: 11B75 11P70 20K01 PDFBibTeX XMLCite \textit{J. Peng} et al., Int. J. Number Theory 15, No. 3, 645--654 (2019; Zbl 1447.11040) Full Text: DOI
Eliahou, Shalom; Fromentin, Jean Near-misses in Wilf’s conjecture. (English) Zbl 1467.20070 Semigroup Forum 98, No. 2, 285-298 (2019). MSC: 20M14 11B75 PDFBibTeX XMLCite \textit{S. Eliahou} and \textit{J. Fromentin}, Semigroup Forum 98, No. 2, 285--298 (2019; Zbl 1467.20070) Full Text: DOI arXiv
Bajnok, Béla; Matzke, Ryan The maximum size of \((k,l)\)-sum-free sets in cyclic groups. (English) Zbl 1415.11043 Bull. Aust. Math. Soc. 99, No. 2, 184-194 (2019). MSC: 11B75 05D99 11B25 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok} and \textit{R. Matzke}, Bull. Aust. Math. Soc. 99, No. 2, 184--194 (2019; Zbl 1415.11043) Full Text: DOI arXiv
Shor, Caleb M. On free numerical semigroups and the construction of minimal telescopic sequences. (English) Zbl 1477.20118 J. Integer Seq. 22, No. 2, Article 19.2.4, 29 p. (2019). MSC: 20M14 11B75 PDFBibTeX XMLCite \textit{C. M. Shor}, J. Integer Seq. 22, No. 2, Article 19.2.4, 29 p. (2019; Zbl 1477.20118) Full Text: arXiv Link
Han, Dongchun; Zhang, Hanbin Erdős-Ginzburg-Ziv theorem and Noether number for \(C_m \ltimes_\varphi C_{mn}\). (English) Zbl 1416.11014 J. Number Theory 198, 159-175 (2019). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11B13 11B50 11B75 20D60 PDFBibTeX XMLCite \textit{D. Han} and \textit{H. Zhang}, J. Number Theory 198, 159--175 (2019; Zbl 1416.11014) Full Text: DOI arXiv
Sapozhenko, A. A.; Sargsyan, V. G. The number of \(k\)-sumsets in an abelian group. (Russian, English) Zbl 1438.11065 Diskretn. Anal. Issled. Oper. 25, No. 4, 97-111 (2018); translation in J. Appl. Ind. Math. 12, No. 4, 729-737 (2018). MSC: 11B75 11B13 20K01 20D60 PDFBibTeX XMLCite \textit{A. A. Sapozhenko} and \textit{V. G. Sargsyan}, Diskretn. Anal. Issled. Oper. 25, No. 4, 97--111 (2018; Zbl 1438.11065); translation in J. Appl. Ind. Math. 12, No. 4, 729--737 (2018) Full Text: DOI
Girard, Benjamin An asymptotically tight bound for the Davenport constant. (Une borne asymptotiquement optimale pour la constante de Davenport.) (English. French summary) Zbl 1401.05311 J. Éc. Polytech., Math. 5, 605-611 (2018). MSC: 11B75 11B30 20K01 PDFBibTeX XMLCite \textit{B. Girard}, J. Éc. Polytech., Math. 5, 605--611 (2018; Zbl 1401.05311) Full Text: DOI arXiv
Kaya, Erdener; Wagner, Robert On some results of indlekofer for multiplicative functions. (English) Zbl 1413.11094 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17-29 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11K65 11N37 11N45 11M45 11T55 20M14 40E05 60C05 PDFBibTeX XMLCite \textit{E. Kaya} and \textit{R. Wagner}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17--29 (2018; Zbl 1413.11094)
Lee, Mitchell Sets with few differences in abelian groups. (English) Zbl 1398.11030 Electron. J. Comb. 25, No. 3, Research Paper P3.19, 15 p. (2018). MSC: 11B13 11B75 05D99 20K01 PDFBibTeX XMLCite \textit{M. Lee}, Electron. J. Comb. 25, No. 3, Research Paper P3.19, 15 p. (2018; Zbl 1398.11030) Full Text: arXiv Link
Fan, Yushuang; Tringali, Salvatore Power monoids: a bridge between factorization theory and arithmetic combinatorics. (English) Zbl 1441.20039 J. Algebra 512, 252-294 (2018). MSC: 20M13 11B13 11B30 11P70 16U30 20M25 PDFBibTeX XMLCite \textit{Y. Fan} and \textit{S. Tringali}, J. Algebra 512, 252--294 (2018; Zbl 1441.20039) Full Text: DOI arXiv
Hegyvári, Norbert; Hennecart, François A note on the size of the set \(A^2+A\). (English) Zbl 1436.11121 Ramanujan J. 46, No. 2, 357-372 (2018). MSC: 11P70 11B30 11B75 20G40 PDFBibTeX XMLCite \textit{N. Hegyvári} and \textit{F. Hennecart}, Ramanujan J. 46, No. 2, 357--372 (2018; Zbl 1436.11121) Full Text: DOI Backlinks: MO
Ravagnani, Alberto Duality of codes supported on regular lattices, with an application to enumerative combinatorics. (English) Zbl 1411.94101 Des. Codes Cryptography 86, No. 9, 2035-2063 (2018). MSC: 94B05 94B25 11T71 05A15 20K01 PDFBibTeX XMLCite \textit{A. Ravagnani}, Des. Codes Cryptography 86, No. 9, 2035--2063 (2018; Zbl 1411.94101) Full Text: DOI arXiv
Roy, Bidisha; Thangadurai, R. On zero-sum subsequences in a finite abelian \(p\)-group of length not exceeding a given number. (English) Zbl 1444.11023 J. Number Theory 191, 246-257 (2018). MSC: 11B13 11B75 11B50 20K01 PDFBibTeX XMLCite \textit{B. Roy} and \textit{R. Thangadurai}, J. Number Theory 191, 246--257 (2018; Zbl 1444.11023) Full Text: DOI
Nathanson, Melvyn B. Every finite subset of an abelian group is an asymptotic approximate group. (English) Zbl 1452.11015 J. Number Theory 191, 175-193 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11B13 05A18 11B75 11P70 20K99 20M99 52B20 PDFBibTeX XMLCite \textit{M. B. Nathanson}, J. Number Theory 191, 175--193 (2018; Zbl 1452.11015) Full Text: DOI arXiv
Pohoata, Cosmin A polynomial method approach to zero-sum subsets in \(\mathbb F_p^2\). (English) Zbl 1422.11055 Acta Arith. 182, No. 3, 243-247 (2018). MSC: 11B75 11B50 11P70 20K01 PDFBibTeX XMLCite \textit{C. Pohoata}, Acta Arith. 182, No. 3, 243--247 (2018; Zbl 1422.11055) Full Text: DOI arXiv
Kazhdan, David; Ziegler, Tamar Approximate cohomology. (English) Zbl 1430.11017 Sel. Math., New Ser. 24, No. 1, 499-509 (2018). MSC: 11B30 11P70 20K30 46M20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{T. Ziegler}, Sel. Math., New Ser. 24, No. 1, 499--509 (2018; Zbl 1430.11017) Full Text: DOI arXiv
Gao, Weidong; Li, Yuanlin; Peng, Jiangtao; Wang, Guoqing A unifying look at zero-sum invariants. (English) Zbl 1415.11045 Int. J. Number Theory 14, No. 3, 705-711 (2018). MSC: 11B75 11P70 11R27 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Int. J. Number Theory 14, No. 3, 705--711 (2018; Zbl 1415.11045) Full Text: DOI
Bajnok, Béla Additive combinatorics. A menu of research problems. (English) Zbl 1415.11001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-0-8153-5301-0/hbk; 978-1-032-47625-4/pbk; 978-1-351-13761-4/ebook). xix, 390 p. (2018). Reviewer: Štefan Porubský (Praha) MSC: 11-02 05-02 11B30 05D05 05A15 06A07 11B13 11P70 20D60 20K01 51E05 52-02 PDFBibTeX XMLCite \textit{B. Bajnok}, Additive combinatorics. A menu of research problems. Boca Raton, FL: CRC Press (2018; Zbl 1415.11001) Full Text: DOI arXiv
Pandey, Prem Prakash The \(3k-4\) theorem for ordered groups. (English) Zbl 1432.20027 Bull. Aust. Math. Soc. 97, No. 1, 43-46 (2018). MSC: 20F60 06F15 11P70 PDFBibTeX XMLCite \textit{P. P. Pandey}, Bull. Aust. Math. Soc. 97, No. 1, 43--46 (2018; Zbl 1432.20027) Full Text: DOI
Brochero Martínez, F. E.; Ribas, Sávio Extremal product-one free sequences in dihedral and dicyclic groups. (English) Zbl 1401.11064 Discrete Math. 341, No. 2, 570-578 (2018). MSC: 11B75 11B13 20D60 05A15 PDFBibTeX XMLCite \textit{F. E. Brochero Martínez} and \textit{S. Ribas}, Discrete Math. 341, No. 2, 570--578 (2018; Zbl 1401.11064) Full Text: DOI arXiv
Beck, Vincent; Lecouvey, Cédric Additive combinatorics methods in associative algebras. (English) Zbl 1426.11120 Confluentes Math. 9, No. 1, 3-27 (2017). MSC: 11P70 16S34 20D60 PDFBibTeX XMLCite \textit{V. Beck} and \textit{C. Lecouvey}, Confluentes Math. 9, No. 1, 3--27 (2017; Zbl 1426.11120) Full Text: DOI arXiv
Bajnok, Béla; Edwards, Samuel On two questions about restricted sumsets in finite abelian groups. (English) Zbl 1407.11017 Australas. J. Comb. 68, Part 2, 229-244 (2017). MSC: 11B13 11B75 20K01 PDFBibTeX XMLCite \textit{B. Bajnok} and \textit{S. Edwards}, Australas. J. Comb. 68, Part 2, 229--244 (2017; Zbl 1407.11017) Full Text: arXiv Link
Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. (English) Zbl 1441.20041 J. Algebra Appl. 16, No. 12, Article ID 1750234, 42 p. (2017). Reviewer: Günter Lettl (Graz) MSC: 20M14 20M13 20M12 11P70 13A05 13F05 16D70 PDFBibTeX XMLCite \textit{Y. Fan} et al., J. Algebra Appl. 16, No. 12, Article ID 1750234, 42 p. (2017; Zbl 1441.20041) Full Text: DOI arXiv
Kovačević, Mladen; Tan, Vincent Y. F. Improved bounds on Sidon sets via lattice packings of simplices. (English) Zbl 1384.11017 SIAM J. Discrete Math. 31, No. 3, 2269-2278 (2017). MSC: 11B13 11B75 05B10 05B40 11B83 11H31 20K99 52C17 PDFBibTeX XMLCite \textit{M. Kovačević} and \textit{V. Y. F. Tan}, SIAM J. Discrete Math. 31, No. 3, 2269--2278 (2017; Zbl 1384.11017) Full Text: DOI arXiv
Peng, Jiangtao; Sun, Fang On the unsplittable minimal zero-sum sequences over finite cyclic groups of prime order. (English) Zbl 1413.11040 Ars Comb. 130, 103-118 (2017). MSC: 11B50 11P70 20K01 PDFBibTeX XMLCite \textit{J. Peng} and \textit{F. Sun}, Ars Comb. 130, 103--118 (2017; Zbl 1413.11040) Full Text: arXiv
Freiman, Gregory A.; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede; Plagne, Alain; Stanchescu, Yonutz V. Small doubling in ordered groups: generators and structure. (English) Zbl 1427.11102 Groups Geom. Dyn. 11, No. 2, 585-612 (2017). MSC: 11P70 11B30 20F05 PDFBibTeX XMLCite \textit{G. A. Freiman} et al., Groups Geom. Dyn. 11, No. 2, 585--612 (2017; Zbl 1427.11102) Full Text: DOI arXiv
Tao, Terence Inverse theorems for sets and measures of polynomial growth. (English) Zbl 1400.11133 Q. J. Math. 68, No. 1, 13-57 (2017). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B30 20D15 20F05 22E25 60B15 PDFBibTeX XMLCite \textit{T. Tao}, Q. J. Math. 68, No. 1, 13--57 (2017; Zbl 1400.11133) Full Text: DOI arXiv
Bajnok, Béla More on the \(h\)-critical numbers of finite abelian groups. (English) Zbl 1399.11065 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 59, 113-122 (2016). MSC: 11B75 05D99 11B25 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 59, 113--122 (2016; Zbl 1399.11065) Full Text: arXiv
Bajnok, Béla Comments on Y. O. Hamidoune’s paper “Adding distinct congruence classes”. (English) Zbl 1372.11029 Comb. Probab. Comput. 25, No. 5, 641-644 (2016). MSC: 11B75 05D99 11B25 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok}, Comb. Probab. Comput. 25, No. 5, 641--644 (2016; Zbl 1372.11029) Full Text: DOI arXiv
Bajnok, B. On the minimum size of restricted sumsets in cyclic groups. (English) Zbl 1389.11060 Acta Math. Hung. 148, No. 1, 228-256 (2016). MSC: 11B75 05D99 11B25 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok}, Acta Math. Hung. 148, No. 1, 228--256 (2016; Zbl 1389.11060) Full Text: DOI arXiv
Plagne, Alain; Tringali, Salvatore Sums of dilates in ordered groups. (English) Zbl 1403.11066 Commun. Algebra 44, No. 12, 5223-5236 (2016). MSC: 11P70 11B25 11B30 11B75 20F60 PDFBibTeX XMLCite \textit{A. Plagne} and \textit{S. Tringali}, Commun. Algebra 44, No. 12, 5223--5236 (2016; Zbl 1403.11066) Full Text: DOI arXiv
Geroldinger, Alfred; Schmid, Wolfgang A. The system of sets of lengths in Krull monoids under set addition. (English) Zbl 1417.11007 Rev. Mat. Iberoam. 32, No. 2, 571-588 (2016). Reviewer: Weidong Gao (Tianjin) MSC: 11B30 11P70 13A05 20M13 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{W. A. Schmid}, Rev. Mat. Iberoam. 32, No. 2, 571--588 (2016; Zbl 1417.11007) Full Text: DOI arXiv
Yuan, Pingzhi; Li, Yuanlin Long unsplittable zero-sum sequences over a finite cyclic group. (English) Zbl 1415.11038 Int. J. Number Theory 12, No. 4, 979-993 (2016). MSC: 11B50 11B30 11P70 20D60 PDFBibTeX XMLCite \textit{P. Yuan} and \textit{Y. Li}, Int. J. Number Theory 12, No. 4, 979--993 (2016; Zbl 1415.11038) Full Text: DOI
Fan, Yushuang; Zhong, Qinghai On the Erdős-Ginzburg-Ziv constant of groups of the form \(C_2^r\oplus C_n\). (English) Zbl 1415.11022 Int. J. Number Theory 12, No. 4, 913-943 (2016). MSC: 11B30 11P70 20D60 PDFBibTeX XMLCite \textit{Y. Fan} and \textit{Q. Zhong}, Int. J. Number Theory 12, No. 4, 913--943 (2016; Zbl 1415.11022) Full Text: DOI arXiv
Gao, Weidong; Li, Yuanlin; Zhao, Pingping; Zhuang, Jujuan On sequences over a finite abelian group with zero-sum subsequences of forbidden lengths. (English) Zbl 1409.11018 Colloq. Math. 144, No. 1, 31-44 (2016). MSC: 11B75 11P99 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Colloq. Math. 144, No. 1, 31--44 (2016; Zbl 1409.11018) Full Text: DOI
Tringali, Salvatore Cauchy-Davenport type theorems for semigroups. (English) Zbl 1329.05303 Mathematika 62, No. 1, 1-12 (2016). MSC: 11B13 11B75 20M99 PDFBibTeX XMLCite \textit{S. Tringali}, Mathematika 62, No. 1, 1--12 (2016; Zbl 1329.05303) Full Text: DOI arXiv
Freiman, G. A.; Herzog, M.; Longobardi, P.; Maj, M.; Plagne, A.; Robinson, D. J. S.; Stanchescu, Y. V. On the structure of subsets of an orderable group with some small doubling properties. (English) Zbl 1359.11082 J. Algebra 445, 307-326 (2016). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 20F05 11B13 05E15 PDFBibTeX XMLCite \textit{G. A. Freiman} et al., J. Algebra 445, 307--326 (2016; Zbl 1359.11082) Full Text: DOI arXiv
Bajnok, Béla; Matzke, Ryan On the minimum size of signed sumsets in elementary abelian groups. (English) Zbl 1356.11012 J. Number Theory 159, 384-401 (2016). MSC: 11B13 11B75 05D99 11P70 20K01 PDFBibTeX XMLCite \textit{B. Bajnok} and \textit{R. Matzke}, J. Number Theory 159, 384--401 (2016; Zbl 1356.11012) Full Text: DOI arXiv
He, Xiaoyu Zero-sum subsequences of length \(kq\) over finite abelian \(p\)-groups. (English) Zbl 1353.11029 Discrete Math. 339, No. 1, 399-407 (2016). MSC: 11B75 11B30 20K01 PDFBibTeX XMLCite \textit{X. He}, Discrete Math. 339, No. 1, 399--407 (2016; Zbl 1353.11029) Full Text: DOI arXiv
van den Dries, Lou Approximate groups (according to Hrushovski and Breuillard, Green, Tao). (English) Zbl 1358.11024 Séminaire Bourbaki. Volume 2013/2014. Exposés 1074–1088. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-804-6/hbk). Astérisque 367-368, 79-113, Exp. No. 1077 (2015). MSC: 11B30 03C98 11P70 03C07 03C50 03H05 20D15 PDFBibTeX XMLCite \textit{L. van den Dries}, Astérisque 367--368, 79--113, Exp. No. 1077 (2015; Zbl 1358.11024)
Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede Some results on products of finite subsets in groups. (English) Zbl 1382.20035 Campbell, C.M. (ed.) et al., Groups St Andrews 2013. Selected papers of the conference, St. Andrews, UK, August 3–11, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-51454-6/pbk; 978-1-316-22734-3/ebook). London Mathematical Society Lecture Note Series 422, 286-305 (2015). MSC: 20E34 20F18 11P70 11B75 20D60 PDFBibTeX XMLCite \textit{M. Herzog} et al., Lond. Math. Soc. Lect. Note Ser. 422, 286--305 (2015; Zbl 1382.20035) Full Text: DOI