Grynkiewicz, David J. Iterated sumsets and setpartitions. (English) Zbl 1477.11018 Ramanujan J. 52, No. 3, 499-518 (2020). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Ramanujan J. 52, No. 3, 499--518 (2020; Zbl 1477.11018) Full Text: DOI arXiv
Ling, Dengrong; Tang, Min Some remarks on minimal asymptotic bases of order three. (English) Zbl 1477.11020 Bull. Aust. Math. Soc. 102, No. 1, 21-30 (2020). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B13 PDFBibTeX XMLCite \textit{D. Ling} and \textit{M. Tang}, Bull. Aust. Math. Soc. 102, No. 1, 21--30 (2020; Zbl 1477.11020) Full Text: DOI
Rice, Alex Binary quadratic forms in difference sets. (English) Zbl 1472.11060 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory III. Papers based on talks given at the CANT 2017 and 2018 workshops, New York, NY, USA, May 2017 and May 2018. Cham: Springer. Springer Proc. Math. Stat. 297, 175-196 (2020). MSC: 11B30 11B13 11E12 11E16 PDFBibTeX XMLCite \textit{A. Rice}, Springer Proc. Math. Stat. 297, 175--196 (2020; Zbl 1472.11060) Full Text: DOI arXiv
Ol’mezov, K. I. Sharpening an estimate of the size of the sumset of a convex set. (English. Russian original) Zbl 1468.11033 Math. Notes 107, No. 6, 984-987 (2020); translation from Mat. Zametki 107, No. 6, 902-905 (2020). MSC: 11B13 11B30 52A20 PDFBibTeX XMLCite \textit{K. I. Ol'mezov}, Math. Notes 107, No. 6, 984--987 (2020; Zbl 1468.11033); translation from Mat. Zametki 107, No. 6, 902--905 (2020) Full Text: DOI
Chu, Hùng Việt On sets with more products than quotients. (English) Zbl 1469.11018 Rocky Mt. J. Math. 50, No. 2, 499-512 (2020). MSC: 11B13 11B75 11P70 PDFBibTeX XMLCite \textit{H. V. Chu}, Rocky Mt. J. Math. 50, No. 2, 499--512 (2020; Zbl 1469.11018) Full Text: DOI arXiv Euclid
Pohoata, Cosmin Expanding polynomials on sets with few products. (English) Zbl 1486.11014 Mathematika 66, No. 1, 71-78 (2020). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B13 11J87 PDFBibTeX XMLCite \textit{C. Pohoata}, Mathematika 66, No. 1, 71--78 (2020; Zbl 1486.11014) Full Text: DOI arXiv Link
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
Grynkiewicz, David J. A single set improvement to the \(3k - 4\) theorem. (English) Zbl 1462.11085 J. Number Theory 214, 360-381 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, J. Number Theory 214, 360--381 (2020; Zbl 1462.11085) Full Text: DOI arXiv
Ramaré, Olivier; Srivastav, Priyamvad; Serra, Oriol Product of primes in arithmetic progressions. (English) Zbl 1490.11091 Int. J. Number Theory 16, No. 4, 747-766 (2020). Reviewer: Michel Balazard (Marseille) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{O. Ramaré} et al., Int. J. Number Theory 16, No. 4, 747--766 (2020; Zbl 1490.11091) Full Text: DOI
Biswas, Arindam; Saha, Jyoti Prakash Asymptotic complements in the integers. (English) Zbl 1471.11021 J. Number Theory 213, 101-115 (2020). MSC: 11B13 11P70 05E16 05B10 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{J. P. Saha}, J. Number Theory 213, 101--115 (2020; Zbl 1471.11021) Full Text: DOI arXiv
Campos, Marcelo On the number of sets with a given doubling constant. (English) Zbl 1439.05019 Isr. J. Math. 236, No. 2, 711-726 (2020). MSC: 05A16 11B13 11P70 PDFBibTeX XMLCite \textit{M. Campos}, Isr. J. Math. 236, No. 2, 711--726 (2020; Zbl 1439.05019) Full Text: DOI arXiv
Chu, Hùng Việt; Luntzlara, Noah; Miller, Steven J.; Shao, Lily Generalizations of a curious family of MSTD sets hidden by interior blocks. (English) Zbl 1434.11029 Integers 20A, Paper A5, 19 p. (2020). MSC: 11B13 PDFBibTeX XMLCite \textit{H. V. Chu} et al., Integers 20A, Paper A5, 19 p. (2020; Zbl 1434.11029) Full Text: arXiv Link
Wang, Ruoyi On a theorem of Sárközy for difference sets and shifted primes. (English) Zbl 1444.11024 J. Number Theory 211, 220-234 (2020). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B13 05B10 11P55 11A41 PDFBibTeX XMLCite \textit{R. Wang}, J. Number Theory 211, 220--234 (2020; Zbl 1444.11024) Full Text: DOI arXiv
Bienvenu, Pierre-Yves; Hennecart, François On the density or measure of sets and their sumsets in the integers or the circle. (English) Zbl 1469.11015 J. Number Theory 212, 285-310 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B05 11B13 PDFBibTeX XMLCite \textit{P.-Y. Bienvenu} and \textit{F. Hennecart}, J. Number Theory 212, 285--310 (2020; Zbl 1469.11015) Full Text: DOI arXiv
Chu, Hùng Việt Sets of cardinality 6 are not sum-dominant. (English) Zbl 1435.11022 Integers 20, Paper A17, 15 p. (2020). MSC: 11B13 PDFBibTeX XMLCite \textit{H. V. Chu}, Integers 20, Paper A17, 15 p. (2020; Zbl 1435.11022) Full Text: arXiv Link
Shkredov, Ilya D. Some remarks on products of sets in the Heisenberg group and in the affine group. (English) Zbl 1475.11020 Forum Math. 32, No. 1, 189-199 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B13 20H20 PDFBibTeX XMLCite \textit{I. D. Shkredov}, Forum Math. 32, No. 1, 189--199 (2020; Zbl 1475.11020) Full Text: DOI arXiv
Shkredov, I. D. Any small multiplicative subgroup is not a sumset. (English) Zbl 1457.11017 Finite Fields Appl. 63, Article ID 101645, 15 p. (2020). MSC: 11B13 11B75 11B99 PDFBibTeX XMLCite \textit{I. D. Shkredov}, Finite Fields Appl. 63, Article ID 101645, 15 p. (2020; Zbl 1457.11017) Full Text: DOI arXiv
Chen, Yong-Gao; Fang, Jin-Hui On additive complements. IV. (English) Zbl 1446.11016 J. Comb. Theory, Ser. A 171, Article ID 105176, 21 p. (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11B13 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{J.-H. Fang}, J. Comb. Theory, Ser. A 171, Article ID 105176, 21 p. (2020; Zbl 1446.11016) Full Text: DOI
Chen, Changhao Discretized sum-product for large sets. (English) Zbl 1437.11114 Mosc. J. Comb. Number Theory 9, No. 1, 17-27 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K55 11B13 28A80 PDFBibTeX XMLCite \textit{C. Chen}, Mosc. J. Comb. Number Theory 9, No. 1, 17--27 (2020; Zbl 1437.11114) Full Text: DOI arXiv
Anand, Jaitra Chattopadhyay; Chattopadhyay, Jaitra; Roy, Bidisha On sums of polynomial-type exceptional units in \(\mathbb{Z}/n\mathbb{Z}\). (English) Zbl 1446.11015 Arch. Math. 114, No. 3, 271-283 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11B13 11A07 PDFBibTeX XMLCite \textit{J. C. Anand} et al., Arch. Math. 114, No. 3, 271--283 (2020; Zbl 1446.11015) Full Text: DOI
Fan, Ai Hua; Fan, Shi Lei Bounded tiles in \(\mathbb{Q}_p\) are compact open sets. (English) Zbl 1439.05048 Acta Math. Sin., Engl. Ser. 36, No. 2, 189-195 (2020). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 05B45 26E30 11B13 22B05 28A80 11F85 PDFBibTeX XMLCite \textit{A. H. Fan} and \textit{S. L. Fan}, Acta Math. Sin., Engl. Ser. 36, No. 2, 189--195 (2020; Zbl 1439.05048) 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
Leader, Imre; Letzter, Shoham; Narayanan, Bhargav; Walters, Mark Product-free sets in the free semigroup. (English) Zbl 1516.20120 Eur. J. Comb. 83, Article ID 103003, 6 p. (2020). MSC: 20M05 20M10 11B13 PDFBibTeX XMLCite \textit{I. Leader} et al., Eur. J. Comb. 83, Article ID 103003, 6 p. (2020; Zbl 1516.20120) Full Text: DOI arXiv
Barnard, Richard C.; Steinerberger, Stefan Three convolution inequalities on the real line with connections to additive combinatorics. (English) Zbl 1447.11008 J. Number Theory 207, 42-55 (2020). MSC: 11B13 26D10 26D15 44A35 PDFBibTeX XMLCite \textit{R. C. Barnard} and \textit{S. Steinerberger}, J. Number Theory 207, 42--55 (2020; Zbl 1447.11008) Full Text: DOI arXiv
Sun, Zhi-Wei Connections between covers of \(\mathbb Z\) and subset sums. arXiv:2008.04153 Preprint, arXiv:2008.04153 [math.NT] (2020). MSC: 11B25 11B75 05E99 11B13 11C08 11D68 11T99 BibTeX Cite \textit{Z.-W. Sun}, ``Connections between covers of $\mathbb Z$ and subset sums'', Preprint, arXiv:2008.04153 [math.NT] (2020) Full Text: arXiv OA License
Biswas, Arindam; Saha, Jyoti Prakash Asymptotic behaviour of minimal complements. arXiv:2007.14389 Preprint, arXiv:2007.14389 [math.CO] (2020). MSC: 11B13 05E15 05B10 11P70 BibTeX Cite \textit{A. Biswas} and \textit{J. P. Saha}, ``Asymptotic behaviour of minimal complements'', Preprint, arXiv:2007.14389 [math.CO] (2020) Full Text: arXiv OA License
Dubickas, Arturas On the size of a restricted sumset with application to the binary expansion of \(\sqrt{d}\). (English) Zbl 1513.11020 Appl. Anal. Discrete Math. 13, No. 2, 346-360 (2019). MSC: 11B13 11K16 11K31 PDFBibTeX XMLCite \textit{A. Dubickas}, Appl. Anal. Discrete Math. 13, No. 2, 346--360 (2019; Zbl 1513.11020) Full Text: DOI
Kochamani, V. Vibitha; Lilly, P. L. Security aspects of the Cayley hash function using discrete Heisenberg group. (English) Zbl 1495.94084 J. Discrete Math. Sci. Cryptography 22, No. 6, 973-981 (2019). MSC: 94A62 94A60 20F65 15A30 11B13 68P25 PDFBibTeX XMLCite \textit{V. V. Kochamani} and \textit{P. L. Lilly}, J. Discrete Math. Sci. Cryptography 22, No. 6, 973--981 (2019; Zbl 1495.94084) Full Text: DOI
Luo, Shunlong; Sun, Yuan Average versus maximal coherence. (English) Zbl 1476.81014 Phys. Lett., A 383, No. 24, 2869-2873 (2019). MSC: 81P40 81P42 81P15 18E05 46G10 81P55 PDFBibTeX XMLCite \textit{S. Luo} and \textit{Y. Sun}, Phys. Lett., A 383, No. 24, 2869--2873 (2019; Zbl 1476.81014) Full Text: DOI
Mudgal, Akshat Sums of linear transformations in higher dimensions. (English) Zbl 1454.11024 Q. J. Math. 70, No. 3, 965-984 (2019); erratum ibid. 71, No. 4, 1169 (2020). MSC: 11B13 11B30 11P70 PDFBibTeX XMLCite \textit{A. Mudgal}, Q. J. Math. 70, No. 3, 965--984 (2019; Zbl 1454.11024) Full Text: DOI arXiv
Fang, Jin-Hui; Chen, Yong-Gao On a conjecture of additive complements. (English) Zbl 1454.11023 Q. J. Math. 70, No. 3, 927-936 (2019). MSC: 11B13 11B34 PDFBibTeX XMLCite \textit{J.-H. Fang} and \textit{Y.-G. Chen}, Q. J. Math. 70, No. 3, 927--936 (2019; Zbl 1454.11023) Full Text: DOI
Huicochea, Mario On Freiman’s \(3k - 4\) theorem. (English) Zbl 1477.11019 Unif. Distrib. Theory 14, No. 2, 43-68 (2019). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{M. Huicochea}, Unif. Distrib. Theory 14, No. 2, 43--68 (2019; Zbl 1477.11019) Full Text: DOI
Sun, Zhiwei Some new problems in additive combinatorics. (English) Zbl 1463.05006 J. Nanjing Univ., Math. Biq. 36, No. 2, 134-155 (2019). MSC: 05A05 05B10 11B13 05E14 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 134--155 (2019; Zbl 1463.05006) Full Text: arXiv
Malakhovskiĭ, V. S. On some characteristics of subset of prime numbers. (Russian. English summary) Zbl 1444.11017 Differ. Geom. Mnogoobr. Figur 50, 99-109 (2019). MSC: 11A41 11B13 PDFBibTeX XMLCite \textit{V. S. Malakhovskiĭ}, Differ. Geom. Mnogoobr. Figur 50, 99--109 (2019; Zbl 1444.11017) Full Text: DOI
Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri On the few products, many sums problem. (English. French summary) Zbl 1454.11025 J. Théor. Nombres Bordx. 31, No. 3, 573-602 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11B50 11B75 PDFBibTeX XMLCite \textit{B. Murphy} et al., J. Théor. Nombres Bordx. 31, No. 3, 573--602 (2019; Zbl 1454.11025) Full Text: DOI arXiv
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey Waring’s theorem for binary powers. (English) Zbl 1463.11148 Combinatorica 39, No. 6, 1335-1350 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11P05 11B13 68R15 PDFBibTeX XMLCite \textit{D. M. Kane} et al., Combinatorica 39, No. 6, 1335--1350 (2019; Zbl 1463.11148) Full Text: DOI arXiv
Hamidoune, Yahya O. Hyper-atoms applied to the critical pair theory. (English) Zbl 1449.11020 Combinatorica 39, No. 6, 1281-1315 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11B13 05C20 PDFBibTeX XMLCite \textit{Y. O. Hamidoune}, Combinatorica 39, No. 6, 1281--1315 (2019; Zbl 1449.11020) Full Text: DOI arXiv
Sargsyan, Davit Subsets in linear spaces over the finite field \(\mathbb F_3\) uniquely determined by their pairwise sums collection. (English. Russian original) Zbl 1454.11052 J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 65-70 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 2, 82-89 (2019). MSC: 11B75 05A15 11B13 PDFBibTeX XMLCite \textit{D. Sargsyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 65--70 (2019; Zbl 1454.11052); translation from Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 2, 82--89 (2019) Full Text: DOI
Osipov, Alexander V.; Kovalew, Ivan A.; Serow, Dmitry W. Additive dimension theory for Birkhoff curves. (English) Zbl 1443.37028 Nonlinear Phenom. Complex Syst., Minsk 22, No. 2, 167-179 (2019). MSC: 37C70 37D45 54G15 11B05 11B13 PDFBibTeX XMLCite \textit{A. V. Osipov} et al., Nonlinear Phenom. Complex Syst., Minsk 22, No. 2, 167--179 (2019; Zbl 1443.37028) Full Text: Link
Sapozhenko, Aleksandr A.; Sargsyan, Vahe G. Asymptotics for the logarithm of the number of \(k\)-solution-free sets in abelian groups. (English. Russian original) Zbl 1480.11016 Discrete Math. Appl. 29, No. 6, 401-407 (2019); translation from Diskretn. Mat. 30, No. 3, 117-126 (2018). MSC: 11B13 PDFBibTeX XMLCite \textit{A. A. Sapozhenko} and \textit{V. G. Sargsyan}, Discrete Math. Appl. 29, No. 6, 401--407 (2019; Zbl 1480.11016); translation from Diskretn. Mat. 30, No. 3, 117--126 (2018) Full Text: DOI
Griesmer, John T. Semicontinuity of structure for small sumsets in compact abelian groups. (English) Zbl 1442.11021 Discrete Anal. 2019, Paper No. 18, 46 p. (2019). MSC: 11B13 03C20 03H05 22C05 22D05 PDFBibTeX XMLCite \textit{J. T. Griesmer}, Discrete Anal. 2019, Paper No. 18, 46 p. (2019; Zbl 1442.11021) Full Text: DOI arXiv
Shao, Xuancheng On an almost all version of the Balog-Szemerédi-Gowers theorem. (English) Zbl 1473.11024 Discrete Anal. 2019, Paper No. 12, 18 p. (2019). MSC: 11B13 11B30 20K99 PDFBibTeX XMLCite \textit{X. Shao}, Discrete Anal. 2019, Paper No. 12, 18 p. (2019; Zbl 1473.11024) Full Text: DOI arXiv
Candela, Pablo; González-Sánchez, Diego; de Roton, Anne A Plünnecke-Ruzsa inequality in compact abelian groups. (English) Zbl 1429.05018 Rev. Mat. Iberoam. 35, No. 7, 2169-2186 (2019). MSC: 11B13 05A20 05B10 28A05 PDFBibTeX XMLCite \textit{P. Candela} et al., Rev. Mat. Iberoam. 35, No. 7, 2169--2186 (2019; Zbl 1429.05018) Full Text: DOI arXiv
Norin, Sergey A distribution on triples with maximum entropy marginal. (English) Zbl 1452.11018 Forum Math. Sigma 7, Paper No. e46, 12 p. (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B25 51E20 05D40 11B13 PDFBibTeX XMLCite \textit{S. Norin}, Forum Math. Sigma 7, Paper No. e46, 12 p. (2019; Zbl 1452.11018) Full Text: DOI arXiv
Huxley, M. N.; Lettington, M. C.; Schmidt, K. M. On the structure of additive systems of integers. (English) Zbl 1438.11022 Period. Math. Hung. 78, No. 2, 178-199 (2019). MSC: 11B13 11B25 05B10 15B36 PDFBibTeX XMLCite \textit{M. N. Huxley} et al., Period. Math. Hung. 78, No. 2, 178--199 (2019; Zbl 1438.11022) Full Text: DOI arXiv
Sapozhenko, A. A.; Sargsyan, V. G. Asymptotics for the logarithm of the number of \((k,l)\)-solution-free collections in an interval of naturals. (Russian, English) Zbl 1438.11023 Diskretn. Anal. Issled. Oper. 26, No. 2, 129-144 (2019); translation in J. Appl. Ind. Math. 13, No. 2, 317-326 (2019). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{A. A. Sapozhenko} and \textit{V. G. Sargsyan}, Diskretn. Anal. Issled. Oper. 26, No. 2, 129--144 (2019; Zbl 1438.11023); translation in J. Appl. Ind. Math. 13, No. 2, 317--326 (2019) Full Text: DOI
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
Tang, Min; Wei, Meng-Ting Restricted sumsets in \(\mathbb Z_n\). (English) Zbl 1442.11023 Int. J. Number Theory 15, No. 10, 2057-2065 (2019). Reviewer: Luis Gallardo (Brest) MSC: 11B13 11A07 PDFBibTeX XMLCite \textit{M. Tang} and \textit{M.-T. Wei}, Int. J. Number Theory 15, No. 10, 2057--2065 (2019; Zbl 1442.11023) Full Text: DOI arXiv
Chen, Yong-Gao; Fang, Jin-Hui Additive complements with Narkiewicz’s condition. (English) Zbl 1431.11019 Combinatorica 39, No. 4, 813-823 (2019). MSC: 11B13 11B34 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{J.-H. Fang}, Combinatorica 39, No. 4, 813--823 (2019; Zbl 1431.11019) Full Text: DOI
Chu, Hùng Việt; Luntzlara, Noah; Miller, Steven J.; Shao, Lily Infinite families of partitions into MSTD subsets. (English) Zbl 1467.11012 Integers 19, Paper A60, 20 p. (2019). Reviewer: Raj Kumar Mistri (Bhilainagar) MSC: 11B13 11P70 PDFBibTeX XMLCite \textit{H. V. Chu} et al., Integers 19, Paper A60, 20 p. (2019; Zbl 1467.11012) Full Text: arXiv Link
Behrends, Ehrhard Tuples of \(n\) natural numbers such that all sums are different and a measure concentration phenomenon. (Tupel aus \(n\) natürlichen Zahlen, für die alle Summen verschieden sind, und ein Maßkonzentrations-Phänomen.) (German) Zbl 1439.11031 Elem. Math. 74, No. 3, 114-130 (2019). MSC: 11B05 11B13 PDFBibTeX XMLCite \textit{E. Behrends}, Elem. Math. 74, No. 3, 114--130 (2019; Zbl 1439.11031) Full Text: DOI
Shakan, George On higher energy decompositions and the sum-product phenomenon. (English) Zbl 1468.11036 Math. Proc. Camb. Philos. Soc. 167, No. 3, 599-617 (2019). MSC: 11B13 11B30 PDFBibTeX XMLCite \textit{G. Shakan}, Math. Proc. Camb. Philos. Soc. 167, No. 3, 599--617 (2019; Zbl 1468.11036) Full Text: DOI arXiv
Miller, Steven J.; Peterson, Carsten A geometric perspective on the MSTD question. (English) Zbl 1461.11026 Discrete Comput. Geom. 62, No. 4, 832-855 (2019). MSC: 11B13 52C35 11P21 PDFBibTeX XMLCite \textit{S. J. Miller} and \textit{C. Peterson}, Discrete Comput. Geom. 62, No. 4, 832--855 (2019; Zbl 1461.11026) Full Text: DOI arXiv
Fraser, Jonathan M.; Howroyd, Douglas C.; Yu, Han Dimension growth for iterated sumsets. (English) Zbl 1429.28013 Math. Z. 293, No. 3-4, 1015-1042 (2019). Reviewer: Peter Massopust (München) MSC: 28A80 11B13 11J70 28A78 PDFBibTeX XMLCite \textit{J. M. Fraser} et al., Math. Z. 293, No. 3--4, 1015--1042 (2019; Zbl 1429.28013) Full Text: DOI arXiv
Nguyen, Lan On the rational function solutions of functional equations arising from multiplication of quantum integers. (English) Zbl 1436.39013 Math. Z. 293, No. 3-4, 903-933 (2019). MSC: 39B05 11B65 11B13 11C08 PDFBibTeX XMLCite \textit{L. Nguyen}, Math. Z. 293, No. 3--4, 903--933 (2019; Zbl 1436.39013) Full Text: DOI
Wu, Bing-Ling Sumsets with restricted number of prime factors. (English) Zbl 1426.11003 Lith. Math. J. 59, No. 2, 251-260 (2019). MSC: 11B13 05D05 11B75 PDFBibTeX XMLCite \textit{B.-L. Wu}, Lith. Math. J. 59, No. 2, 251--260 (2019; Zbl 1426.11003) Full Text: DOI
Adams, Ashleigh; Hall, Carole; Stucky, Eric Classifications of \(\ell\)-zero-sumfree sets. (English) Zbl 1425.05162 PUMP J. Undergrad. Res. 2, 179-198 (2019). MSC: 05E45 05A17 05B10 11B13 11P70 PDFBibTeX XMLCite \textit{A. Adams} et al., PUMP J. Undergrad. Res. 2, 179--198 (2019; Zbl 1425.05162) Full Text: arXiv Link
Petridis, Giorgis; Shparlinski, Igor E. Bounds of trilinear and quadrilinear exponential sums. (English) Zbl 1454.11151 J. Anal. Math. 138, No. 2, 613-641 (2019). MSC: 11L07 11B30 11B13 PDFBibTeX XMLCite \textit{G. Petridis} and \textit{I. E. Shparlinski}, J. Anal. Math. 138, No. 2, 613--641 (2019; Zbl 1454.11151) Full Text: DOI arXiv
Táfula, Christian An extension of the Erdős-Tetali theorem. (English) Zbl 1439.11034 Random Struct. Algorithms 55, No. 1, 173-214 (2019). MSC: 11B13 11B34 11B75 05D05 60C05 PDFBibTeX XMLCite \textit{C. Táfula}, Random Struct. Algorithms 55, No. 1, 173--214 (2019; Zbl 1439.11034) Full Text: DOI arXiv
Arias, Fabián; Borja, Jerson; Rubio, Luis Counting integers representable as images of polynomials modulo \(n\). (English) Zbl 1455.11010 J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019). MSC: 11A07 11B13 11B37 11E25 PDFBibTeX XMLCite \textit{F. Arias} et al., J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019; Zbl 1455.11010) Full Text: arXiv Link
Hegyvári, Norbert; Hennecart, François; Pach, Péter Pál On the density of sumsets and product sets. (English) Zbl 1452.11014 Australas. J. Comb. 74, Part 1, 1-16 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 PDFBibTeX XMLCite \textit{N. Hegyvári} et al., Australas. J. Comb. 74, Part 1, 1--16 (2019; Zbl 1452.11014) Full Text: arXiv Link
Ding, Yuchen; Zhou, Haiyan Subset sums over Galois rings. (English) Zbl 1454.11221 J. Number Theory 205, 148-169 (2019). MSC: 11T24 05A15 05A16 11B13 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{H. Zhou}, J. Number Theory 205, 148--169 (2019; Zbl 1454.11221) Full Text: DOI
Bernshteyn, Anton; Tait, Michael Improved lower bound for difference bases. (English) Zbl 1473.11021 J. Number Theory 205, 50-58 (2019). MSC: 11B13 PDFBibTeX XMLCite \textit{A. Bernshteyn} and \textit{M. Tait}, J. Number Theory 205, 50--58 (2019; Zbl 1473.11021) Full Text: DOI arXiv Backlinks: MO
Fang, J.-H.; Fang, Z.-K. On an inverse problem in additive number theory. (English) Zbl 1438.11020 Acta Math. Hung. 158, No. 1, 36-39 (2019). Reviewer: Mark Thompson (Porto Alegre) MSC: 11B13 11B75 11P70 PDFBibTeX XMLCite \textit{J. H. Fang} and \textit{Z. K. Fang}, Acta Math. Hung. 158, No. 1, 36--39 (2019; Zbl 1438.11020) Full Text: DOI
Dai, Li-Xia; Pan, Hao On the Erdős-Fuchs theorem. (English) Zbl 1441.11264 Acta Arith. 189, No. 2, 147-163 (2019). MSC: 11P70 11B13 11B34 PDFBibTeX XMLCite \textit{L.-X. Dai} and \textit{H. Pan}, Acta Arith. 189, No. 2, 147--163 (2019; Zbl 1441.11264) Full Text: DOI arXiv
Tang, Min; Wang, Wenhui Some remarks on sumsets and restricted sumsets. (English) Zbl 1456.11012 Bull. Korean Math. Soc. 56, No. 3, 667-673 (2019). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B13 PDFBibTeX XMLCite \textit{M. Tang} and \textit{W. Wang}, Bull. Korean Math. Soc. 56, No. 3, 667--673 (2019; Zbl 1456.11012) Full Text: DOI
Chin, A. Y. M.; Chen, H. V. Complete decompositions of finite abelian groups. (English) Zbl 1418.05020 Appl. Algebra Eng. Commun. Comput. 30, No. 3, 263-274 (2019). MSC: 05A18 11B13 20K01 PDFBibTeX XMLCite \textit{A. Y. M. Chin} and \textit{H. V. Chen}, Appl. Algebra Eng. Commun. Comput. 30, No. 3, 263--274 (2019; Zbl 1418.05020) Full Text: DOI
Freiman, Gregory A.; Serra, Oriol; Spiegel, Christoph Additive volume of sets contained in few arithmetic progressions. (English) Zbl 1476.11132 Integers 19, Paper A34, 16 p. (2019). Reviewer: Thomas Bloom (Oxford) MSC: 11P70 11B13 11B25 PDFBibTeX XMLCite \textit{G. A. Freiman} et al., Integers 19, Paper A34, 16 p. (2019; Zbl 1476.11132) Full Text: arXiv Link
Huicochea, Mario Sums of finite subsets in \(\mathbb{R}^d\). (English) Zbl 1446.11017 Eur. J. Comb. 79, 15-26 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11P70 PDFBibTeX XMLCite \textit{M. Huicochea}, Eur. J. Comb. 79, 15--26 (2019; Zbl 1446.11017) Full Text: DOI
Mauduit, Christian; Rivat, Joël; Sárközy, András On the distribution of the sum of digits of sums \(a+b\). (English) Zbl 1472.11047 Ramanujan J. 49, No. 1, 55-73 (2019). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11A63 11B13 PDFBibTeX XMLCite \textit{C. Mauduit} et al., Ramanujan J. 49, No. 1, 55--73 (2019; Zbl 1472.11047) Full Text: DOI
Kwon, Andrew A note on minimal additive complements of integers. (English) Zbl 1442.11022 Discrete Math. 342, No. 7, 1912-1918 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 11B34 PDFBibTeX XMLCite \textit{A. Kwon}, Discrete Math. 342, No. 7, 1912--1918 (2019; Zbl 1442.11022) Full Text: DOI arXiv
Chu, Hùng Việt When sets are not sum-dominant. (English) Zbl 1418.11018 J. Integer Seq. 22, No. 3, Article 19.3.7, 16 p. (2019). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{H. V. Chu}, J. Integer Seq. 22, No. 3, Article 19.3.7, 16 p. (2019; Zbl 1418.11018) Full Text: arXiv Link
Ruzsa, Imre Z.; Zhelezov, Dmitrii Convex sequences may have thin additive bases. (English) Zbl 1458.11018 Mosc. J. Comb. Number Theory 8, No. 1, 43-46 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 PDFBibTeX XMLCite \textit{I. Z. Ruzsa} and \textit{D. Zhelezov}, Mosc. J. Comb. Number Theory 8, No. 1, 43--46 (2019; Zbl 1458.11018) Full Text: DOI arXiv Euclid
Wang, Yu-Jie; Ji, Chun-Gang A new Menon’s identity from group actions. (English) Zbl 1450.11003 Bull. Aust. Math. Soc. 99, No. 3, 369-375 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11A25 11B13 PDFBibTeX XMLCite \textit{Y.-J. Wang} and \textit{C.-G. Ji}, Bull. Aust. Math. Soc. 99, No. 3, 369--375 (2019; Zbl 1450.11003) Full Text: DOI
Dolžan, David The sums of exceptional units in a finite ring. (English) Zbl 1473.11022 Arch. Math. 112, No. 6, 581-586 (2019). MSC: 11B13 16U60 PDFBibTeX XMLCite \textit{D. Dolžan}, Arch. Math. 112, No. 6, 581--586 (2019; Zbl 1473.11022) Full Text: DOI
Chen, Yong-Gao; Li, Ya-Li On a problem of Erdös, Nathanson and Sárközy. (English) Zbl 1464.11017 J. Number Theory 201, 135-147 (2019). MSC: 11B13 11B25 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{Y.-L. Li}, J. Number Theory 201, 135--147 (2019; Zbl 1464.11017) Full Text: DOI
Roche-Newton, Oliver; Shkredov, Ilya D. If \(A + A\) is small then \(AAA\) is superquadratic. (English) Zbl 1459.11028 J. Number Theory 201, 124-134 (2019). MSC: 11B13 11B30 PDFBibTeX XMLCite \textit{O. Roche-Newton} and \textit{I. D. Shkredov}, J. Number Theory 201, 124--134 (2019; Zbl 1459.11028) 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
Candela, Pablo; De Roton, Anne On sets with small sumset in the circle. (English) Zbl 1450.11006 Q. J. Math. 70, No. 1, 49-69 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 11B83 PDFBibTeX XMLCite \textit{P. Candela} and \textit{A. De Roton}, Q. J. Math. 70, No. 1, 49--69 (2019; Zbl 1450.11006) Full Text: DOI arXiv
Bhanja, Jagannath; Chaudhary, Shubham; Pandey, Ram Krishna On some direct and inverse results concerning sums of dilates. (English) Zbl 1453.11015 Acta Arith. 188, No. 2, 101-109 (2019). MSC: 11B13 11B75 11P70 PDFBibTeX XMLCite \textit{J. Bhanja} et al., Acta Arith. 188, No. 2, 101--109 (2019; Zbl 1453.11015) Full Text: DOI
Sun, Cui-Fang; Tao, Tian-Tian On \(g\)-adic minimal asymptotic bases of order \(h\). (English) Zbl 1435.11024 Int. J. Number Theory 15, No. 2, 389-406 (2019). MSC: 11B13 PDFBibTeX XMLCite \textit{C.-F. Sun} and \textit{T.-T. Tao}, Int. J. Number Theory 15, No. 2, 389--406 (2019; Zbl 1435.11024) Full Text: DOI
Haviv, Ishay Sum-free sets of integers with a forbidden sum. (English) Zbl 1440.11008 SIAM J. Discrete Math. 33, No. 1, 402-424 (2019). MSC: 11B13 11B75 11P70 PDFBibTeX XMLCite \textit{I. Haviv}, SIAM J. Discrete Math. 33, No. 1, 402--424 (2019; Zbl 1440.11008) Full Text: DOI arXiv
Li, Junxian; Shakan, George On distinct consecutive \(r\)-differences. (English) Zbl 1458.11017 J. Number Theory 199, 363-376 (2019). MSC: 11B13 05B10 11B30 PDFBibTeX XMLCite \textit{J. Li} and \textit{G. Shakan}, J. Number Theory 199, 363--376 (2019; Zbl 1458.11017) Full Text: DOI arXiv
Bienvenu, Pierre-Yves; Lê, Thái Hoàng A bilinear Bogolyubov theorem. (English) Zbl 1442.11020 Eur. J. Comb. 77, 102-113 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 11B30 PDFBibTeX XMLCite \textit{P.-Y. Bienvenu} and \textit{T. H. Lê}, Eur. J. Comb. 77, 102--113 (2019; Zbl 1442.11020) Full Text: DOI arXiv
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
Chen, Shi-Qiang; Tang, Min; Yang, Quan-Hui On a problem of Chen and Lev. (English) Zbl 1505.11023 Bull. Aust. Math. Soc. 99, No. 1, 15-22 (2019). MSC: 11B34 11B13 PDFBibTeX XMLCite \textit{S.-Q. Chen} et al., Bull. Aust. Math. Soc. 99, No. 1, 15--22 (2019; Zbl 1505.11023) Full Text: DOI
Kiss, Sándor Z.; Sándor, Csaba; Yang, Quan-Hui On minimal additive complements of integers. (English) Zbl 1475.11019 J. Comb. Theory, Ser. A 162, 344-353 (2019). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11B13 11B34 PDFBibTeX XMLCite \textit{S. Z. Kiss} et al., J. Comb. Theory, Ser. A 162, 344--353 (2019; Zbl 1475.11019) Full Text: DOI arXiv Link
Sun, Cui-Fang On minimal asymptotic basis of order \(g - 1\). (English) Zbl 1420.11022 Indag. Math., New Ser. 30, No. 1, 128-135 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 PDFBibTeX XMLCite \textit{C.-F. Sun}, Indag. Math., New Ser. 30, No. 1, 128--135 (2019; Zbl 1420.11022) Full Text: DOI
Bhanja, Jagannath; Pandey, Ram Krishna Direct and inverse theorems on signed sumsets of integers. (English) Zbl 1475.11018 J. Number Theory 196, 340-352 (2019). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B13 11P70 11B75 PDFBibTeX XMLCite \textit{J. Bhanja} and \textit{R. K. Pandey}, J. Number Theory 196, 340--352 (2019; Zbl 1475.11018) Full Text: DOI arXiv
Bhanja, Jagannath; Komatsu, Takao; Pandey, Ram Krishna Direct and inverse results on restricted signed sumsets in integers. arXiv:1908.00081 Preprint, arXiv:1908.00081 [math.NT] (2019). MSC: 11P70 11B75 11B13 BibTeX Cite \textit{J. Bhanja} et al., ``Direct and inverse results on restricted signed sumsets in integers'', Preprint, arXiv:1908.00081 [math.NT] (2019) Full Text: arXiv OA License
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim Sums of palindromes: an approach via automata. (English) Zbl 1497.68277 Niedermeier, Rolf (ed.) et al., 35th symposium on theoretical aspects of computer science, STACS 2018, Caen, France, February 28 – March 3, 2018. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 96, Article 54, 12 p. (2018). Reviewer: Amin Witno (Amman) MSC: 68Q45 11B13 68R15 68V05 PDFBibTeX XMLCite \textit{A. Rajasekaran} et al., LIPIcs -- Leibniz Int. Proc. Inform. 96, Article 54, 12 p. (2018; Zbl 1497.68277) 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
Godbole, Anant; Higgins, Zach; Koch, Zoe Finite representability of integers as 2-sums. (English) Zbl 1441.11019 Integers 18B, Paper A3, 12 p. (2018). MSC: 11B13 PDFBibTeX XMLCite \textit{A. Godbole} et al., Integers 18B, Paper A3, 12 p. (2018; Zbl 1441.11019) Full Text: arXiv Link
Pandey, Prem Prakash On Freiman’s \(3K-4\) theorem. (English) Zbl 1414.11017 Integers 18, Paper A11, 7 p. (2018). MSC: 11B13 PDFBibTeX XMLCite \textit{P. P. Pandey}, Integers 18, Paper A11, 7 p. (2018; Zbl 1414.11017) Full Text: Link
Osipov, Alexander V.; Serow, Dmitry W. Fractional densities for the Wada basins. (English) Zbl 1407.37037 Nonlinear Phenom. Complex Syst., Minsk 21, No. 4, 389-394 (2018). MSC: 37C70 37D45 54G15 11B05 11B13 PDFBibTeX XMLCite \textit{A. V. Osipov} and \textit{D. W. Serow}, Nonlinear Phenom. Complex Syst., Minsk 21, No. 4, 389--394 (2018; Zbl 1407.37037)
Chapman, Scott T.; O’Neill, Chris Factoring in the Chicken McNugget monoid. (English) Zbl 1405.20055 Math. Mag. 91, No. 5, 323-336 (2018). MSC: 20M14 11B13 11D04 20M13 PDFBibTeX XMLCite \textit{S. T. Chapman} and \textit{C. O'Neill}, Math. Mag. 91, No. 5, 323--336 (2018; Zbl 1405.20055) Full Text: DOI arXiv
Shkredov, Ilya D.; Zhelezov, Dmitrii On additive bases of sets with small product set. (English) Zbl 1448.11024 Int. Math. Res. Not. 2018, No. 5, 1585-1599 (2018). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B13 05B10 PDFBibTeX XMLCite \textit{I. D. Shkredov} and \textit{D. Zhelezov}, Int. Math. Res. Not. 2018, No. 5, 1585--1599 (2018; Zbl 1448.11024) Full Text: DOI arXiv
Herdade, Simao; Kim, John; Kopparty, Swastik A Cauchy-Davenport theorem for linear maps. (English) Zbl 1438.11021 Combinatorica 38, No. 3, 601-618 (2018). Reviewer: László A. Székely (Columbia) MSC: 11B13 15A04 11T06 PDFBibTeX XMLCite \textit{S. Herdade} et al., Combinatorica 38, No. 3, 601--618 (2018; Zbl 1438.11021) Full Text: DOI arXiv
Cilleruelo, Javier; Tesoro, Rafael On sets free of sumsets with summands of prescribed size. (English) Zbl 1438.11019 Combinatorica 38, No. 3, 511-546 (2018). MSC: 11B13 PDFBibTeX XMLCite \textit{J. Cilleruelo} and \textit{R. Tesoro}, Combinatorica 38, No. 3, 511--546 (2018; Zbl 1438.11019) Full Text: DOI arXiv
Ramaré, Olivier; Walker, Aled Products of primes in arithmetic progressions: a footnote in parity breaking. (English. French summary) Zbl 1435.11123 J. Théor. Nombres Bordx. 30, No. 1, 219-225 (2018). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{O. Ramaré} and \textit{A. Walker}, J. Théor. Nombres Bordx. 30, No. 1, 219--225 (2018; Zbl 1435.11123) Full Text: DOI arXiv