Björklund, Michael; Fish, Alexander; Shkredov, Ilya D. Sets of transfer times with small densities. (Ensembles de temps de transfert avec petites densités.) (English. French summary) Zbl 07315958 J. Éc. Polytech., Math. 8, 311-329 (2021). MSC: 37A44 28D05 11B13 PDF BibTeX XML Cite \textit{M. Björklund} et al., J. Éc. Polytech., Math. 8, 311--329 (2021; Zbl 07315958) Full Text: DOI
Bhanja, Jagannath On the minimum cardinality of generalized sumsets in finite cyclic groups. (English) Zbl 07306661 Integers 21, Paper A8, 16 p. (2021). MSC: 11B13 11B75 PDF BibTeX XML Cite \textit{J. Bhanja}, Integers 21, Paper A8, 16 p. (2021; Zbl 07306661) Full Text: Link
Faisant, Alain; Grekos, Georges; Pandey, Ram Krishna; Somu, Sai Teja Additive complements for a given asymptotic density. (English) Zbl 07302518 Mediterr. J. Math. 18, No. 1, Paper No. 25, 13 p. (2021). MSC: 11B05 11B13 PDF BibTeX XML Cite \textit{A. Faisant} et al., Mediterr. J. Math. 18, No. 1, Paper No. 25, 13 p. (2021; Zbl 07302518) Full Text: DOI
Peng, Jiangtao; Li, Yuanlin; Liu, Chao; Huang, Meiling On the inverse problems associated with subsequence sums of zero-sum free sequences over finite abelian groups. (English) Zbl 07301034 Colloq. Math. 163, No. 2, 317-332 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P70 11B75 PDF BibTeX XML Cite \textit{J. Peng} et al., Colloq. Math. 163, No. 2, 317--332 (2021; Zbl 07301034) Full Text: DOI
Sanders, Tom The Erdős-Moser sum-free set problem. (English) Zbl 07300447 Can. J. Math. 73, No. 1, 63-107 (2021). MSC: 11P70 11B13 PDF BibTeX XML Cite \textit{T. Sanders}, Can. J. Math. 73, No. 1, 63--107 (2021; Zbl 07300447) Full Text: DOI
Kiss, Sándor Z.; Sándor, Csaba Generalized asymptotic Sidon basis. (English) Zbl 07282522 Discrete Math. 344, No. 2, Article ID 112208, 6 p. (2021). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} and \textit{C. Sándor}, Discrete Math. 344, No. 2, Article ID 112208, 6 p. (2021; Zbl 07282522) Full Text: DOI
Nathanson, Melvyn B. Chromatic sumsets. (English) Zbl 07276952 J. Number Theory 219, 93-108 (2021). MSC: 11B05 11B13 11B34 11B75 11D07 PDF BibTeX XML Cite \textit{M. B. Nathanson}, J. Number Theory 219, 93--108 (2021; Zbl 07276952) Full Text: DOI
Sun, Cui-Fang On a problem of Nathanson on minimal asymptotic bases. (English) Zbl 07257223 J. Number Theory 218, 152-160 (2021). MSC: 11B13 PDF BibTeX XML Cite \textit{C.-F. Sun}, J. Number Theory 218, 152--160 (2021; Zbl 07257223) Full Text: DOI
Reis, Lucas Counting solutions of special linear equations over finite fields. (English) Zbl 07312735 Finite Fields Appl. 68, Article ID 101759, 9 p. (2020). MSC: 12E20 11T55 11B13 PDF BibTeX XML Cite \textit{L. Reis}, Finite Fields Appl. 68, Article ID 101759, 9 p. (2020; Zbl 07312735) Full Text: DOI
Golsefidy, Alireza Salehi Sum-product phenomena: \(\mathfrak{P}\)-adic case. (English) Zbl 07308600 J. Anal. Math. 142, No. 2, 349-419 (2020). MSC: 11B75 11B13 11S99 PDF BibTeX XML Cite \textit{A. S. Golsefidy}, J. Anal. Math. 142, No. 2, 349--419 (2020; Zbl 07308600) Full Text: DOI
Moshchevitin, Nikolay G.; Shkredov, Ilya D. On a modular form of Zaremba’s conjecture. (English) Zbl 07307885 Pac. J. Math. 309, No. 1, 195-211 (2020). MSC: 11B13 11B75 11E57 11J70 PDF BibTeX XML Cite \textit{N. G. Moshchevitin} and \textit{I. D. Shkredov}, Pac. J. Math. 309, No. 1, 195--211 (2020; Zbl 07307885) Full Text: DOI
Ji, Ch.; Wang, Y. Another regular Menon-type identity in residually finite Dedekind domains. (English) Zbl 07307776 Acta Math. Hung. 162, No. 1, 117-129 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11A25 11B13 PDF BibTeX XML Cite \textit{Ch. Ji} and \textit{Y. Wang}, Acta Math. Hung. 162, No. 1, 117--129 (2020; Zbl 07307776) Full Text: DOI
Wu, B.-L.; Yan, X.-H. On a problem of J. H. Fang and Z. K. Fang. (English) Zbl 07307774 Acta Math. Hung. 162, No. 1, 98-104 (2020). Reviewer: László A. Székely (Columbia) MSC: 11B13 PDF BibTeX XML Cite \textit{B. L. Wu} and \textit{X. H. Yan}, Acta Math. Hung. 162, No. 1, 98--104 (2020; Zbl 07307774) Full Text: DOI
Fried, Katalin; Gyarmati, Katalin On multiplicative bases of finite sets. (English) Zbl 07306593 Integers 20, Paper A47, 16 p. (2020). MSC: 11B13 PDF BibTeX XML Cite \textit{K. Fried} and \textit{K. Gyarmati}, Integers 20, Paper A47, 16 p. (2020; Zbl 07306593) Full Text: Link
Mudgal, Akshat Erratum to: “Sums of linear transformations in higher dimensions”. (English) Zbl 07304812 Q. J. Math. 71, No. 4, 1169 (2020). MSC: 11B13 11B30 11P70 PDF BibTeX XML Cite \textit{A. Mudgal}, Q. J. Math. 71, No. 4, 1169 (2020; Zbl 07304812) Full Text: DOI
Granville, A.; Shakan, G. The Frobenius postage stamp problem, and beyond. (English) Zbl 07301143 Acta Math. Hung. 161, No. 2, 700-718 (2020). Reviewer: Vladimir Mazalov (Petrozavodsk) MSC: 11B13 11D07 PDF BibTeX XML Cite \textit{A. Granville} and \textit{G. Shakan}, Acta Math. Hung. 161, No. 2, 700--718 (2020; Zbl 07301143) Full Text: DOI
Schoen, T.; Shkredov, I. D. \(L\)-functions and sum-free sets. (English) Zbl 07301133 Acta Math. Hung. 161, No. 2, 427-442 (2020). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 11B13 11B50 11B75 11M06 PDF BibTeX XML Cite \textit{T. Schoen} and \textit{I. D. Shkredov}, Acta Math. Hung. 161, No. 2, 427--442 (2020; Zbl 07301133) Full Text: DOI
Olmezov, K. I. Additive properties of slowly increasing convex sets. (English. Russian original) Zbl 07289078 Math. Notes 108, No. 6, 827-841 (2020); translation from Mat. Zametki 108, No. 6, 851-867 (2020). MSC: 11B PDF BibTeX XML Cite \textit{K. I. Olmezov}, Math. Notes 108, No. 6, 827--841 (2020; Zbl 07289078); translation from Mat. Zametki 108, No. 6, 851--867 (2020) Full Text: DOI
Nathanson, M. B. Congruence classes and maximal nonbases. (English) Zbl 07287390 Acta Math. Hung. 161, No. 2, 768-779 (2020). MSC: 11B13 11B05 11B34 11B75 11A07 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Acta Math. Hung. 161, No. 2, 768--779 (2020; Zbl 07287390) Full Text: DOI
Fang, Jin-Hui On generalized perfect difference sumsets. (English) Zbl 07283559 SIAM J. Discrete Math. 34, No. 4, 2448-2456 (2020). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{J.-H. Fang}, SIAM J. Discrete Math. 34, No. 4, 2448--2456 (2020; Zbl 07283559) Full Text: DOI
Ding, Yuchen Green’s problem on additive complements of the squares. (English) Zbl 07283168 C. R., Math., Acad. Sci. Paris 358, No. 8, 897-900 (2020). MSC: 11B13 11B75 PDF BibTeX XML Cite \textit{Y. Ding}, C. R., Math., Acad. Sci. Paris 358, No. 8, 897--900 (2020; Zbl 07283168) Full Text: DOI
Oh, Jun Seok; Zhong, Qinghai On minimal product-one sequences of maximal length over dihedral and dicyclic groups. (English) Zbl 07272977 Commun. Korean Math. Soc. 35, No. 1, 83-116 (2020). MSC: 20D60 20M13 11B75 11P70 PDF BibTeX XML Cite \textit{J. S. Oh} and \textit{Q. Zhong}, Commun. Korean Math. Soc. 35, No. 1, 83--116 (2020; Zbl 07272977) Full Text: DOI
Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. On popular sums and differences for sets with small multiplicative doubling. (English. Russian original) Zbl 1453.11020 Math. Notes 108, No. 4, 557-565 (2020); translation from Mat. Zametki 108, No. 4, 561-571 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B75 11L07 11B13 11B50 PDF BibTeX XML Cite \textit{K. I. Ol'mezov} et al., Math. Notes 108, No. 4, 557--565 (2020; Zbl 1453.11020); translation from Mat. Zametki 108, No. 4, 561--571 (2020) Full Text: DOI
Gross, Gal Maximally additively reducible subsets of the integers. (English) Zbl 1446.11186 J. Integer Seq. 23, No. 10, Article 20.10.5, 40 p. (2020). MSC: 11P70 05A17 05A19 05A20 11A63 11B39 PDF BibTeX XML Cite \textit{G. Gross}, J. Integer Seq. 23, No. 10, Article 20.10.5, 40 p. (2020; Zbl 1446.11186) Full Text: Link
Peng, Jiangtao; Hui, Wanzhen; Lv, Feng On subset sums of a zero-sum free set of seven elements from an abelian group. (English) Zbl 07262514 Colloq. Math. 160, No. 2, 151-164 (2020). MSC: 11B75 11P70 PDF BibTeX XML Cite \textit{J. Peng} et al., Colloq. Math. 160, No. 2, 151--164 (2020; Zbl 07262514) Full Text: DOI
Bhanja, Jagannath; Pandey, Ram Krishna Inverse problems for certain subsequence sums in integers. (English) Zbl 07257961 Discrete Math. 343, No. 12, Article ID 112148, 11 p. (2020). MSC: 11B13 11P70 PDF BibTeX XML Cite \textit{J. Bhanja} and \textit{R. K. Pandey}, Discrete Math. 343, No. 12, Article ID 112148, 11 p. (2020; Zbl 07257961) Full Text: DOI
Krachun, Dmitry; Sun, Zhi-Wei On sums of four pentagonal numbers with coefficients. (English) Zbl 07249485 Electron Res. Arch. 28, No. 1, 559-566 (2020). MSC: 11B13 11E25 11D85 11E20 11P70 PDF BibTeX XML Cite \textit{D. Krachun} and \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 1, 559--566 (2020; Zbl 07249485) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. A. Kurdachenko} et al., Int. J. Group Theory 9, No. 2, 95--111 (2020; Zbl 1443.20057) Full Text: DOI
Fang, Jin-Hui; Fang, Zhi-Kai On the critical values in subset sum. (English) Zbl 07247776 Eur. J. Comb. 89, Article ID 103158, 5 p. (2020). MSC: 11B13 PDF BibTeX XML Cite \textit{J.-H. Fang} and \textit{Z.-K. Fang}, Eur. J. Comb. 89, Article ID 103158, 5 p. (2020; Zbl 07247776) Full Text: DOI
Candela, Pablo; Serra, Oriol; Spiegel, Christoph A step beyond Freiman’s theorem for set addition modulo a prime. (English. French summary) Zbl 07246703 J. Théor. Nombres Bordx. 32, No. 1, 275-289 (2020). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 11B13 05B10 PDF BibTeX XML Cite \textit{P. Candela} et al., J. Théor. Nombres Bordx. 32, No. 1, 275--289 (2020; Zbl 07246703) Full Text: DOI
Gowers, W. T.; Milićević, L. A bilinear version of Bogolyubov’s theorem. (English) Zbl 07243342 Proc. Am. Math. Soc. 148, No. 11, 4695-4704 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11B30 11P70 PDF BibTeX XML Cite \textit{W. T. Gowers} and \textit{L. Milićević}, Proc. Am. Math. Soc. 148, No. 11, 4695--4704 (2020; Zbl 07243342) Full Text: DOI
Lev, Vsevolod F.; Shkredov, Ilya D. Small doubling in prime-order groups: from 2.4 to 2.6. (English) Zbl 07242310 J. Number Theory 217, 278-291 (2020). MSC: 11P70 11B13 PDF BibTeX XML Cite \textit{V. F. Lev} and \textit{I. D. Shkredov}, J. Number Theory 217, 278--291 (2020; Zbl 07242310) Full Text: DOI
Peng, Jiangtao; Li, Yuanlin; Liu, Chao; Huang, Meiling On subsequence sums of a zero-sum free sequence over finite abelian groups. (English) Zbl 07242306 J. Number Theory 217, 193-217 (2020). MSC: 11B75 11P70 PDF BibTeX XML Cite \textit{J. Peng} et al., J. Number Theory 217, 193--217 (2020; Zbl 07242306) Full Text: DOI
Coronado, David; Quiroz, Domingo The zero sum Ramsey numbers of the join of two graphs. (English) Zbl 1444.05094 Int. J. Math. Comput. Sci. 15, No. 2, 627-632 (2020). MSC: 05C55 05D10 05C76 11B13 PDF BibTeX XML Cite \textit{D. Coronado} and \textit{D. Quiroz}, Int. J. Math. Comput. Sci. 15, No. 2, 627--632 (2020; Zbl 1444.05094) Full Text: Link
Dai, Lixia; Pan, Hao An oscillation theorem on the additive representative function over \(\mathbb{N}\). (English) Zbl 07226986 J. Number Theory 216, 157-173 (2020). MSC: 11P70 11B13 11B34 PDF BibTeX XML Cite \textit{L. Dai} and \textit{H. Pan}, J. Number Theory 216, 157--173 (2020; Zbl 07226986) Full Text: DOI
Gao, Weidong; Qu, Yongke; Zhang, Hanbin On additive bases III. (English) Zbl 07221797 Acta Arith. 193, No. 3, 293-308 (2020). MSC: 11B75 11P70 20K01 PDF BibTeX XML Cite \textit{W. Gao} et al., Acta Arith. 193, No. 3, 293--308 (2020; Zbl 07221797) Full Text: DOI
Ling, Dengrong; Tang, Min Some remarks on minimal asymptotic bases of order three. (English) Zbl 07218765 Bull. Aust. Math. Soc. 102, No. 1, 21-30 (2020). MSC: 11B13 PDF BibTeX XML Cite \textit{D. Ling} and \textit{M. Tang}, Bull. Aust. Math. Soc. 102, No. 1, 21--30 (2020; Zbl 07218765) Full Text: DOI
Leader, Imre; Russell, Paul A. Monochromatic infinite sumsets. (English) Zbl 1442.05236 New York J. Math. 26, 467-472 (2020). MSC: 05D10 PDF BibTeX XML Cite \textit{I. Leader} and \textit{P. A. Russell}, New York J. Math. 26, 467--472 (2020; Zbl 1442.05236) Full Text: Link
Pohoata, Cosmin Expanding polynomials on sets with few products. (English) Zbl 07209604 Mathematika 66, No. 1, 71-78 (2020). MSC: 11B13 11J87 PDF BibTeX XML Cite \textit{C. Pohoata}, Mathematika 66, No. 1, 71--78 (2020; Zbl 07209604) Full Text: DOI
Abdollahi, Alireza; Jafari, Fatemeh Cardinality of product sets in torsion-free groups and applications in group algebras. (English) Zbl 07207077 J. Algebra Appl. 19, No. 4, Article ID 2050079, 24 p. (2020). MSC: 20D60 20C05 11P70 16S34 PDF BibTeX XML Cite \textit{A. Abdollahi} and \textit{F. Jafari}, J. Algebra Appl. 19, No. 4, Article ID 2050079, 24 p. (2020; Zbl 07207077) Full Text: DOI
Grynkiewicz, David J. A single set improvement to the \(3k - 4\) theorem. (English) Zbl 07206999 J. Number Theory 214, 360-381 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 11B75 PDF BibTeX XML Cite \textit{D. J. Grynkiewicz}, J. Number Theory 214, 360--381 (2020; Zbl 07206999) Full Text: DOI
Ramaré, Olivier; Srivastav, Priyamvad; Serra, Oriol Product of primes in arithmetic progressions. (English) Zbl 07205425 Int. J. Number Theory 16, No. 4, 747-766 (2020). MSC: 11N13 11A41 11N37 11B13 PDF BibTeX XML Cite \textit{O. Ramaré} et al., Int. J. Number Theory 16, No. 4, 747--766 (2020; Zbl 07205425) Full Text: DOI
Bauer, Claus An \(L\)-function free proof of Hua’s Theorem on sums of five prime squares. (English) Zbl 07202971 Stud. Sci. Math. Hung. 57, No. 1, 1-39 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11P32 11P70 11N35 PDF BibTeX XML Cite \textit{C. Bauer}, Stud. Sci. Math. Hung. 57, No. 1, 1--39 (2020; Zbl 07202971) Full Text: DOI
Biswas, Arindam; Saha, Jyoti Prakash Asymptotic complements in the integers. (English) Zbl 07202821 J. Number Theory 213, 101-115 (2020). MSC: 11B13 11P70 05E15 05B10 PDF BibTeX XML Cite \textit{A. Biswas} and \textit{J. P. Saha}, J. Number Theory 213, 101--115 (2020; Zbl 07202821) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Campos}, Isr. J. Math. 236, No. 2, 711--726 (2020; Zbl 1439.05019) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H. V. Chu} et al., Integers 20A, Paper A5, 19 p. (2020; Zbl 1434.11029) Full Text: 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 PDF BibTeX XML Cite \textit{R. Wang}, J. Number Theory 211, 220--234 (2020; Zbl 1444.11024) Full Text: DOI
Bienvenu, Pierre-Yves; Hennecart, François On the density or measure of sets and their sumsets in the integers or the circle. (English) Zbl 07183715 J. Number Theory 212, 285-310 (2020). MSC: 11B05 11B13 PDF BibTeX XML Cite \textit{P.-Y. Bienvenu} and \textit{F. Hennecart}, J. Number Theory 212, 285--310 (2020; Zbl 07183715) Full Text: DOI
Chu, Hùng Việt Sets of cardinality 6 are not sum-dominant. (English) Zbl 1435.11022 Integers 20, Paper A17, 15 p. (2020). MSC: 11B13 PDF BibTeX XML Cite \textit{H. V. Chu}, Integers 20, Paper A17, 15 p. (2020; Zbl 1435.11022) Full Text: Link
Neuman, A. Martina Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces. (English) Zbl 07177342 J. Geom. Anal. 30, No. 1, 1042-1099 (2020). MSC: 11L07 11P70 42B35 PDF BibTeX XML Cite \textit{A. M. Neuman}, J. Geom. Anal. 30, No. 1, 1042--1099 (2020; Zbl 07177342) Full Text: DOI
Shkredov, Ilya D. Some remarks on products of sets in the Heisenberg group and in the affine group. (English) Zbl 07175505 Forum Math. 32, No. 1, 189-199 (2020). MSC: 11B13 11B75 PDF BibTeX XML Cite \textit{I. D. Shkredov}, Forum Math. 32, No. 1, 189--199 (2020; Zbl 07175505) Full Text: DOI
Girard, B.; Schmid, W. A. Inverse zero-sum problems for certain groups of rank three. (English) Zbl 07175012 Acta Math. Hung. 160, No. 1, 229-247 (2020). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B30 11P70 20K01 PDF BibTeX XML Cite \textit{B. Girard} and \textit{W. A. Schmid}, Acta Math. Hung. 160, No. 1, 229--247 (2020; Zbl 07175012) Full Text: DOI
Shkredov, I. D. Any small multiplicative subgroup is not a sumset. (English) Zbl 07174372 Finite Fields Appl. 63, Article ID 101645, 15 p. (2020). MSC: 11B13 11B75 11B99 PDF BibTeX XML Cite \textit{I. D. Shkredov}, Finite Fields Appl. 63, Article ID 101645, 15 p. (2020; Zbl 07174372) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{C. Chen}, Mosc. J. Comb. Number Theory 9, No. 1, 17--27 (2020; Zbl 1437.11114) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
Grynkiewicz, David J.; Wang, Chunlin; Zhao, Kevin The structure of a sequence with prescribed zero-sum subsequences. (English) Zbl 07150794 Integers 20, Paper A3, 31 p. (2020). MSC: 11B75 11P70 20K01 PDF BibTeX XML Cite \textit{D. J. Grynkiewicz} et al., Integers 20, Paper A3, 31 p. (2020; Zbl 07150794) Full Text: Link
Gao, Weidong; Huang, Meiling; Hui, Wanzhen; Li, Yuanlin; Liu, Chao; Peng, Jiangtao Sums of sets of abelian group elements. (English) Zbl 07137127 J. Number Theory 208, 208-229 (2020). MSC: 11B75 11P70 PDF BibTeX XML Cite \textit{W. Gao} et al., J. Number Theory 208, 208--229 (2020; Zbl 07137127) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. C. Barnard} and \textit{S. Steinerberger}, J. Number Theory 207, 42--55 (2020; Zbl 1447.11008) Full Text: DOI arXiv
Mudgal, Akshat Sums of linear transformations in higher dimensions. (English) Zbl 07304294 Q. J. Math. 70, No. 3, 965-984 (2019); erratum ibid 71, No. 4, 1169 (2020). MSC: 11B13 11B30 11P70 PDF BibTeX XML Cite \textit{A. Mudgal}, Q. J. Math. 70, No. 3, 965--984 (2019; Zbl 07304294) Full Text: DOI
Fang, Jin-Hui; Chen, Yong-Gao On a conjecture of additive complements. (English) Zbl 07304292 Q. J. Math. 70, No. 3, 927-936 (2019). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{J.-H. Fang} and \textit{Y.-G. Chen}, Q. J. Math. 70, No. 3, 927--936 (2019; Zbl 07304292) Full Text: DOI
Huicochea, Mario On Freiman’s 3k - 4 theorem. (English) Zbl 07299825 Unif. Distrib. Theory 14, No. 2, 43-68 (2019). MSC: 11B13 PDF BibTeX XML Cite \textit{M. Huicochea}, Unif. Distrib. Theory 14, No. 2, 43--68 (2019; Zbl 07299825) Full Text: DOI
Sun, Zhiwei Some new problems in additive combinatorics. (English) Zbl 07295511 J. Nanjing Univ., Math. Biq. 36, No. 2, 134-155 (2019). MSC: 05A05 05B10 11B13 05E14 PDF BibTeX XML Cite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 134--155 (2019; Zbl 07295511) Full Text: DOI
Sun, Fang; Li, Yuanlin; Peng, Jiangtao A note on the inverse problems associated with subsequence sums. (English) Zbl 07274054 J. Comb. Math. Comb. Comput. 111, 3-8 (2019). MSC: 11B75 11P70 PDF BibTeX XML Cite \textit{F. Sun} et al., J. Comb. Math. Comb. Comput. 111, 3--8 (2019; Zbl 07274054)
Malakhovsky, V. 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 PDF BibTeX XML Cite \textit{V. Malakhovsky}, Differ. Geom. Mnogoobr. Figur 50, 99--109 (2019; Zbl 1444.11017) Full Text: DOI
Eggleton, Roger B. Equisum partitions of sets of positive integers. (English) Zbl 07257784 Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P70 05A18 11A25 PDF BibTeX XML Cite \textit{R. B. Eggleton}, Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019; Zbl 07257784) Full Text: DOI
Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri On the few products, many sums problem. (English. French summary) Zbl 07246528 J. Théor. Nombres Bordx. 31, No. 3, 573-602 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11B50 11B75 PDF BibTeX XML Cite \textit{B. Murphy} et al., J. Théor. Nombres Bordx. 31, No. 3, 573--602 (2019; Zbl 07246528) Full Text: DOI
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey Waring’s theorem for binary powers. (English) Zbl 07175045 Combinatorica 39, No. 6, 1335-1350 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 68R15 PDF BibTeX XML Cite \textit{D. M. Kane} et al., Combinatorica 39, No. 6, 1335--1350 (2019; Zbl 07175045) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Y. O. Hamidoune}, Combinatorica 39, No. 6, 1281--1315 (2019; Zbl 1449.11020) Full Text: DOI
Vorob’ev, Ivan Stanislavovich; Ustinov, Alekseĭ Vladimirovich Symmetric semigroups with three generators. (English. Russian original) Zbl 07171718 Sb. Math. 210, No. 12, 1690-1701 (2019); translation from Mat. Sb. 210, No. 12, 31-42 (2019). MSC: 20M14 11B13 11D04 11D45 PDF BibTeX XML Cite \textit{I. S. Vorob'ev} and \textit{A. V. Ustinov}, Sb. Math. 210, No. 12, 1690--1701 (2019; Zbl 07171718); translation from Mat. Sb. 210, No. 12, 31--42 (2019) Full Text: DOI
Sargsyan, Davit Subsets in linear spaces over the finite field \(\mathbb F_3\) uniquely determined by their pairwise sums collection. (English. Russian original) Zbl 07157901 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 PDF BibTeX XML Cite \textit{D. Sargsyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 65--70 (2019; Zbl 07157901); 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 PDF BibTeX XML Cite \textit{A. V. Osipov} et al., Nonlinear Phenom. Complex Syst., Minsk 22, No. 2, 167--179 (2019; Zbl 1443.37028) Full Text: Link
Host, Bernard A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson. (English) Zbl 1433.05314 Discrete Anal. 2019, Article No. 19, 10 p. (2019). Reviewer: Gregory Loren McColm (Tampa) MSC: 05D10 11P70 11B30 37A44 60C05 PDF BibTeX XML Cite \textit{B. Host}, Discrete Anal. 2019, Article No. 19, 10 p. (2019; Zbl 1433.05314) Full Text: DOI arXiv
Griesmer, John T. Semicontinuity of structure for small sumsets in compact abelian groups. (English) Zbl 1442.11021 Discrete Anal. 2019, Article No. 18, 46 p. (2019). MSC: 11B13 03C20 03H05 22C05 22D05 PDF BibTeX XML Cite \textit{J. T. Griesmer}, Discrete Anal. 2019, Article 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 07152911 Discrete Anal. 2019, Article No. 12, 18 p. (2019). MSC: 11B13 11B30 PDF BibTeX XML Cite \textit{X. Shao}, Discrete Anal. 2019, Article No. 12, 18 p. (2019; Zbl 07152911) Full Text: DOI arXiv
Macourt, Simon Decomposition of subsets of finite fields. (English) Zbl 07149359 Funct. Approximatio, Comment. Math. 61, No. 2, 243-255 (2019). MSC: 11B30 11T30 PDF BibTeX XML Cite \textit{S. Macourt}, Funct. Approximatio, Comment. Math. 61, No. 2, 243--255 (2019; Zbl 07149359) Full Text: DOI Euclid
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: 05A20 11B13 05B10 28A05 PDF BibTeX XML Cite \textit{P. Candela} et al., Rev. Mat. Iberoam. 35, No. 7, 2169--2186 (2019; Zbl 1429.05018) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. Norin}, Forum Math. Sigma 7, Paper No. e46, 12 p. (2019; Zbl 1452.11018) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. N. Huxley} et al., Period. Math. Hung. 78, No. 2, 178--199 (2019; Zbl 1438.11022) Full Text: DOI arXiv
Chen, Lifei; Li, Xiulan; Wen, Yuming; Yang, Hong; Liu, Jiawei; Peng, Jiangtao On the inverse problems of subsums of zero-sum free subsets. (English) Zbl 1426.11121 JP J. Algebra Number Theory Appl. 41, No. 1, 19-33 (2019). MSC: 11P70 11B75 PDF BibTeX XML Cite \textit{L. Chen} et al., JP J. Algebra Number Theory Appl. 41, No. 1, 19--33 (2019; Zbl 1426.11121) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Tang} and \textit{M.-T. Wei}, Int. J. Number Theory 15, No. 10, 2057--2065 (2019; Zbl 1442.11023) Full Text: DOI
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 PDF BibTeX XML Cite \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 07133451 Integers 19, Paper A60, 20 p. (2019). MSC: 11B13 11P70 PDF BibTeX XML Cite \textit{H. V. Chu} et al., Integers 19, Paper A60, 20 p. (2019; Zbl 07133451) Full Text: Link arXiv
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 PDF BibTeX XML Cite \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 07128518 Math. Proc. Camb. Philos. Soc. 167, No. 3, 599-617 (2019). MSC: 11B13 11B30 PDF BibTeX XML Cite \textit{G. Shakan}, Math. Proc. Camb. Philos. Soc. 167, No. 3, 599--617 (2019; Zbl 07128518) Full Text: DOI arXiv
Miller, Steven J.; Peterson, Carsten A geometric perspective on the MSTD question. (English) Zbl 07127724 Discrete Comput. Geom. 62, No. 4, 832-855 (2019). MSC: 11B13 52C35 11P21 PDF BibTeX XML Cite \textit{S. J. Miller} and \textit{C. Peterson}, Discrete Comput. Geom. 62, No. 4, 832--855 (2019; Zbl 07127724) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{A. Adams} et al., PUMP J. Undergrad. Res. 2, 179--198 (2019; Zbl 1425.05162) Full Text: Link arXiv
Petridis, Giorgis; Shparlinski, Igor E. Bounds of trilinear and quadrilinear exponential sums. (English) Zbl 07121347 J. Anal. Math. 138, No. 2, 613-641 (2019). MSC: 11L07 11B30 11B13 PDF BibTeX XML Cite \textit{G. Petridis} and \textit{I. E. Shparlinski}, J. Anal. Math. 138, No. 2, 613--641 (2019; Zbl 07121347) Full Text: DOI
Aaronson, James Maximising the number of solutions to a linear equation in a set of integers. (English) Zbl 1443.11210 Bull. Lond. Math. Soc. 51, No. 4, 577-594 (2019). Reviewer: Qinghai Zhong (Graz) MSC: 11P70 11D04 PDF BibTeX XML Cite \textit{J. Aaronson}, Bull. Lond. Math. Soc. 51, No. 4, 577--594 (2019; Zbl 1443.11210) Full Text: DOI
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 PDF BibTeX XML Cite \textit{C. Táfula}, Random Struct. Algorithms 55, No. 1, 173--214 (2019; Zbl 1439.11034) Full Text: DOI
Arias, Fabián; Borja, Jerson; Rubio, Luis Counting integers representable as images of polynomials modulo \(n\). (English) Zbl 07114887 J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019). MSC: 11A07 11B13 11B37 11E25 PDF BibTeX XML Cite \textit{F. Arias} et al., J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019; Zbl 07114887) Full Text: Link arXiv
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 PDF BibTeX XML Cite \textit{N. Hegyvári} et al., Australas. J. Comb. 74, Part 1, 1--16 (2019; Zbl 1452.11014) Full Text: Link arXiv
Ding, Yuchen; Zhou, Haiyan Subset sums over Galois rings. (English) Zbl 07101906 J. Number Theory 205, 148-169 (2019). MSC: 11T24 05A15 05A16 11B13 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{H. Zhou}, J. Number Theory 205, 148--169 (2019; Zbl 07101906) Full Text: DOI