Riblet, Robin Small sum sets, subcriticality structure. (Ensembles de petite somme, structure de sous-criticité.) (French. English summary) Zbl 07824605 J. Théor. Nombres Bordx. 35, No. 3, 697-749 (2024). MSC: 28A75 11B13 05B10 PDFBibTeX XMLCite \textit{R. Riblet}, J. Théor. Nombres Bordx. 35, No. 3, 697--749 (2024; Zbl 07824605) Full Text: DOI arXiv
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
Hegde, Shruti S. Weighted zero-sum constants for \(p\)-groups. (English) Zbl 07820051 Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 3, 13 p. (2024). MSC: 11B50 11P70 PDFBibTeX XMLCite \textit{S. S. Hegde}, Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 3, 13 p. (2024; Zbl 07820051) Full Text: DOI
She, Yue-Feng; Wu, Hai-Liang On additive decompositions of primitive elements in finite fields. (English) Zbl 07819769 Int. J. Number Theory 20, No. 2, 603-613 (2024). MSC: 11P70 11T24 11T30 PDFBibTeX XMLCite \textit{Y.-F. She} and \textit{H.-L. Wu}, Int. J. Number Theory 20, No. 2, 603--613 (2024; Zbl 07819769) Full Text: DOI arXiv
Xue, Fang-Gang On bounded basis with prescribed representation functions. (English) Zbl 07819755 Int. J. Number Theory 20, No. 2, 349-356 (2024). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{F.-G. Xue}, Int. J. Number Theory 20, No. 2, 349--356 (2024; Zbl 07819755) Full Text: DOI
Kaur, Ramandeep; Singh, Sandeep On direct and inverse problems related to some dilated sumsets. (English) Zbl 07816882 C. R., Math., Acad. Sci. Paris 362, 99-105 (2024). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{R. Kaur} and \textit{S. Singh}, C. R., Math., Acad. Sci. Paris 362, 99--105 (2024; Zbl 07816882) Full Text: DOI
Xu, Ji-Zhen; Chen, Yong-Gao On subsets of asymptotic bases. (English) Zbl 07816875 C. R., Math., Acad. Sci. Paris 362, 45-49 (2024). MSC: 11B13 11B05 11P99 PDFBibTeX XMLCite \textit{J.-Z. Xu} and \textit{Y.-G. Chen}, C. R., Math., Acad. Sci. Paris 362, 45--49 (2024; Zbl 07816875) Full Text: DOI
Mohan; Pandey, Ram Krishna Generalized \(H\)-fold sumset and subsequence sum. (English) Zbl 07816873 C. R., Math., Acad. Sci. Paris 362, 1-19 (2024). MSC: 11P70 11B75 11B13 PDFBibTeX XMLCite \textit{Mohan} and \textit{R. K. Pandey}, C. R., Math., Acad. Sci. Paris 362, 1--19 (2024; Zbl 07816873) 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
Mangerel, Alexander P. Large sums of high-order characters. (English) Zbl 07809014 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12841, 44 p. (2024). MSC: 11L40 11N64 11P70 11N25 11N36 PDFBibTeX XMLCite \textit{A. P. Mangerel}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12841, 44 p. (2024; Zbl 07809014) Full Text: DOI arXiv OA License
Darbar, Pranendu; Mukhopadhyay, Anirban Correlation of multiplicative functions over \(\mathbb{F}_q[x]\): a pretentious approach. (English) Zbl 07796297 Mathematika 70, No. 1, Article ID e12227, 51 p. (2024). MSC: 11K65 11N35 11N37 11N60 11T06 PDFBibTeX XMLCite \textit{P. Darbar} and \textit{A. Mukhopadhyay}, Mathematika 70, No. 1, Article ID e12227, 51 p. (2024; Zbl 07796297) Full Text: DOI OA License
Conant, Gabriel; Pillay, Anand Approximate subgroups with bounded VC-dimension. (English) Zbl 07796289 Math. Ann. 388, No. 1, 1001-1043 (2024). MSC: 11P70 11B30 03C45 03C20 PDFBibTeX XMLCite \textit{G. Conant} and \textit{A. Pillay}, Math. Ann. 388, No. 1, 1001--1043 (2024; Zbl 07796289) Full Text: DOI arXiv
Hathi, Shehzad; Johnston, Daniel R. On the sum of a prime and a square-free number with divisibility conditions. (English) Zbl 07794616 J. Number Theory 256, 354-372 (2024). MSC: 11P32 PDFBibTeX XMLCite \textit{S. Hathi} and \textit{D. R. Johnston}, J. Number Theory 256, 354--372 (2024; Zbl 07794616) Full Text: DOI arXiv
Fish, Alexander; Jiang, Leo; Shkredov, Ilya D. Direct and inverse results for popular differences in trees of positive dimension. (English) Zbl 07793981 Ergodic Theory Dyn. Syst. 44, No. 2, 481-508 (2024). Reviewer: Thomas B. Ward (Durham) MSC: 37A30 37E25 37E15 05C05 05D10 05C63 11B13 11P70 PDFBibTeX XMLCite \textit{A. Fish} et al., Ergodic Theory Dyn. Syst. 44, No. 2, 481--508 (2024; Zbl 07793981) Full Text: DOI arXiv OA License
Cranston, Michael; Mountford, Thomas A new proof of the Erdős-Kac central limit theorem. (English) Zbl 07789123 Trans. Am. Math. Soc. 377, No. 2, 1475-1503 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N64 11K65 60F05 PDFBibTeX XMLCite \textit{M. Cranston} and \textit{T. Mountford}, Trans. Am. Math. Soc. 377, No. 2, 1475--1503 (2024; Zbl 07789123) Full Text: DOI
Cvetko-Vah, Karin; Kinyon, Michael; Pisanski, Tomaž On elementary, odd, semimagic and other classes of antilattices. (English) Zbl 07773273 J. Algebra Appl. 23, No. 1, Article ID 2450012, 22 p. (2024). MSC: 06B75 05A15 05A17 03G10 11P99 PDFBibTeX XMLCite \textit{K. Cvetko-Vah} et al., J. Algebra Appl. 23, No. 1, Article ID 2450012, 22 p. (2024; Zbl 07773273) Full Text: DOI arXiv
Grynkiewicz, David J. The \(3k-4\) Theorem modulo a Prime: High Density for \(A+B\). arXiv:2402.15028 Preprint, arXiv:2402.15028 [math.NT] (2024). MSC: 11P70 BibTeX Cite \textit{D. J. Grynkiewicz}, ``The $3k-4$ Theorem modulo a Prime: High Density for $A+B$'', Preprint, arXiv:2402.15028 [math.NT] (2024) Full Text: arXiv OA License
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
Jambhale, Aditya; Kaldybayev, Rauan; Miller, Steven J.; Yao, Chris Limiting Behavior in Missing Sums of Sumsets. arXiv:2401.17254 Preprint, arXiv:2401.17254 [math.NT] (2024). MSC: 11P99 11B13 BibTeX Cite \textit{A. Jambhale} et al., ``Limiting Behavior in Missing Sums of Sumsets'', Preprint, arXiv:2401.17254 [math.NT] (2024) Full Text: arXiv OA License
Mohan; Bhanja, Jagannath; Pandey, Ram Krishna Freiman’s \((3k-4)\)-like results for subset and subsequence sums. arXiv:2401.08208 Preprint, arXiv:2401.08208 [math.NT] (2024). MSC: 11P70 11B75 11B13 BibTeX Cite \textit{Mohan} et al., ``Freiman's $(3k-4)$-like results for subset and subsequence sums'', Preprint, arXiv:2401.08208 [math.NT] (2024) Full Text: arXiv OA License
Kaur, Ramandeep; Singh, Sandeep On the problems associated with sum of dilates. (English) Zbl 07820494 Math. Notes 114, No. 6, 1233-1237 (2023). MSC: 11Bxx 11Pxx 11-XX PDFBibTeX XMLCite \textit{R. Kaur} and \textit{S. Singh}, Math. Notes 114, No. 6, 1233--1237 (2023; Zbl 07820494) Full Text: DOI
Bagdasaryan, Armen G. Solving third-order linear recurrence relations with applications to number theory and combinatorics. (English) Zbl 07820153 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 97-121 (2023). MSC: 11B37 39A06 11B83 39A05 39A10 11B39 11C20 PDFBibTeX XMLCite \textit{A. G. Bagdasaryan}, Springer Proc. Math. Stat. 416, 97--121 (2023; Zbl 07820153) Full Text: DOI
Kamlovskiĭ, O. V.; Mizerov, V. V. Cross-correlation function for the representations of one class of sequences over Galois rings. (Russian. English summary) Zbl 07808379 Mat. Vopr. Kriptografii 14, No. 4, 71-88 (2023). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{O. V. Kamlovskiĭ} and \textit{V. V. Mizerov}, Mat. Vopr. Kriptografii 14, No. 4, 71--88 (2023; Zbl 07808379) Full Text: DOI MNR
Lu, Zhipeng; Meng, Xianchang A note on the distinct distances problem in the hyperbolic plane. (English) Zbl 07807760 Pac. J. Math. 327, No. 1, 129-137 (2023). MSC: 11P70 52C10 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{X. Meng}, Pac. J. Math. 327, No. 1, 129--137 (2023; Zbl 07807760) Full Text: DOI
Zeng, Xiangneng; Yuan, Pingzhi On sequences without short zero-sum subsequences. (English) Zbl 07806248 Electron. J. Comb. 30, No. 4, Research Paper P4.21, 14 p. (2023). MSC: 11B75 11P70 PDFBibTeX XMLCite \textit{X. Zeng} and \textit{P. Yuan}, Electron. J. Comb. 30, No. 4, Research Paper P4.21, 14 p. (2023; Zbl 07806248) Full Text: DOI
López Nicolás, José Alfonso Advances in additive number theory. (English) Zbl 07805667 Bol. Soc. Parana. Mat. (3) 41, Paper No. 109, 20 p. (2023). MSC: 11A41 11A25 11P32 11P82 PDFBibTeX XMLCite \textit{J. A. López Nicolás}, Bol. Soc. Parana. Mat. (3) 41, Paper No. 109, 20 p. (2023; Zbl 07805667) Full Text: DOI
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
Mohan; Pandey, Ram Krishna Extended inverse theorems for \(h\)-fold sumsets in integers. (English) Zbl 07795661 Contrib. Discrete Math. 18, No. 2, 129-145 (2023). MSC: 11P70 11B75 11B13 PDFBibTeX XMLCite \textit{Mohan} and \textit{R. K. Pandey}, Contrib. Discrete Math. 18, No. 2, 129--145 (2023; Zbl 07795661) Full Text: arXiv Link
Granville, Andrew; Shakan, George; Walker, Aled Effective results on the size and structure of sumsets. (English) Zbl 07794394 Combinatorica 43, No. 6, 1139-1178 (2023). MSC: 11B13 05B10 11P70 PDFBibTeX XMLCite \textit{A. Granville} et al., Combinatorica 43, No. 6, 1139--1178 (2023; Zbl 07794394) Full Text: DOI arXiv
Tao, Terence; Ziegler, Tamar Infinite partial sumsets in the primes. (English) Zbl 07793431 J. Anal. Math. 151, No. 1, 375-389 (2023). MSC: 11N05 11P32 11N36 37A44 PDFBibTeX XMLCite \textit{T. Tao} and \textit{T. Ziegler}, J. Anal. Math. 151, No. 1, 375--389 (2023; Zbl 07793431) Full Text: DOI arXiv
Vavilov, N. A. Computers as a novel mathematical reality. IV: The Goldbach problem. (English) Zbl 07786636 Dokl. Math. 107, No. 3, 205-241 (2023). MSC: 11-03 11P32 11P55 97F60 PDFBibTeX XMLCite \textit{N. A. Vavilov}, Dokl. Math. 107, No. 3, 205--241 (2023; Zbl 07786636) Full Text: DOI
Vakhitov, Murat V.; Minenkov, Dmitrii S. On logarithmic asymptotics for the number of restricted partitions in the exponential case. (English) Zbl 07786441 Mosc. J. Comb. Number Theory 12, No. 4, 297-309 (2023). MSC: 11P70 11P81 PDFBibTeX XMLCite \textit{M. V. Vakhitov} and \textit{D. S. Minenkov}, Mosc. J. Comb. Number Theory 12, No. 4, 297--309 (2023; Zbl 07786441) Full Text: DOI
Bhanja, Jagannath; Mistri, Raj Kumar The sizes of restricted sums of multisets. (English) Zbl 1528.11104 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 40, 10 p. (2023). MSC: 11P70 11B75 11B13 PDFBibTeX XMLCite \textit{J. Bhanja} and \textit{R. K. Mistri}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 40, 10 p. (2023; Zbl 1528.11104) Full Text: DOI
Anderson, Theresa C. Discrete multilinear maximal functions and number theory. (English) Zbl 07783564 Ill. J. Math. 67, No. 3, 443-456 (2023). MSC: 11K70 11P32 42B25 PDFBibTeX XMLCite \textit{T. C. Anderson}, Ill. J. Math. 67, No. 3, 443--456 (2023; Zbl 07783564) Full Text: DOI arXiv Link
Bienvenu, Pierre-Yves Metric decomposability theorems on sets of integers. (English) Zbl 07779838 Bull. Lond. Math. Soc. 55, No. 6, 2653-2659 (2023). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P70 60C05 PDFBibTeX XMLCite \textit{P.-Y. Bienvenu}, Bull. Lond. Math. Soc. 55, No. 6, 2653--2659 (2023; Zbl 07779838) Full Text: DOI arXiv OA License
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
Bollobás, Béla; Leader, Imre; Tiba, Marius A strengthening of Freiman’s \(3k-4\) theorem. (English) Zbl 07774942 Bull. Lond. Math. Soc. 55, No. 5, 2363-2381 (2023). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B13 11P70 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Bull. Lond. Math. Soc. 55, No. 5, 2363--2381 (2023; Zbl 07774942) Full Text: DOI arXiv OA License
Győry, K.; Hajdu, L.; Sárközy, A. On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II. (Multiplicative decompositions). (English) Zbl 07771572 Acta Arith. 210, 191-204 (2023). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P70 11N99 11P99 PDFBibTeX XMLCite \textit{K. Győry} et al., Acta Arith. 210, 191--204 (2023; Zbl 07771572) Full Text: DOI
Choi, Whan-Hyuk; Güneri, Cem; Kim, Jon-Lark; Özbudak, Ferruh Theory of additive complementary dual codes, constructions and computations. (English) Zbl 07761951 Finite Fields Appl. 92, Article ID 102303, 31 p. (2023). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{W.-H. Choi} et al., Finite Fields Appl. 92, Article ID 102303, 31 p. (2023; Zbl 07761951) Full Text: DOI
Napolitano, Vito; Polverino, Olga; Santonastaso, Paolo; Zullo, Ferdinando Classifications and constructions of minimum size linear sets on the projective line. (English) Zbl 1526.05022 Finite Fields Appl. 92, Article ID 102280, 23 p. (2023). MSC: 05B25 51E20 11P70 PDFBibTeX XMLCite \textit{V. Napolitano} et al., Finite Fields Appl. 92, Article ID 102280, 23 p. (2023; Zbl 1526.05022) Full Text: DOI arXiv
Wu, Hai-Liang; She, Yue-Feng Additive decompositions of cubes in finite fields. (English) Zbl 07760619 Ramanujan J. 62, No. 3, 719-734 (2023). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 11T06 11T24 PDFBibTeX XMLCite \textit{H.-L. Wu} and \textit{Y.-F. She}, Ramanujan J. 62, No. 3, 719--734 (2023; Zbl 07760619) Full Text: DOI arXiv
Itzá-Ortiz, Benjamín A.; López-Hernández, Roberto; Miramontes, Pedro Bézout coefficients of coprime numbers approximate quadratic Bézier curves. (English) Zbl 07759414 Lobachevskii J. Math. 44, No. 7, 2838-2844 (2023). MSC: 68Uxx 11Pxx 11Nxx PDFBibTeX XMLCite \textit{B. A. Itzá-Ortiz} et al., Lobachevskii J. Math. 44, No. 7, 2838--2844 (2023; Zbl 07759414) Full Text: DOI arXiv
Hegyvári, Norbert Some remarks on the distribution of additive energy. (English) Zbl 07753746 Result. Math. 78, No. 6, Paper No. 233, 9 p. (2023). MSC: 11B75 11B30 PDFBibTeX XMLCite \textit{N. Hegyvári}, Result. Math. 78, No. 6, Paper No. 233, 9 p. (2023; Zbl 07753746) Full Text: DOI arXiv OA License
Arias, Fabián; Borja, Jerson; Anaya, Samuel Counting integers representable as sums of \(k\)-th powers modulo \(n\). (English) Zbl 1525.11107 J. Integer Seq. 26, No. 8, Article 23.8.1, 17 p. (2023). MSC: 11P05 11D85 PDFBibTeX XMLCite \textit{F. Arias} et al., J. Integer Seq. 26, No. 8, Article 23.8.1, 17 p. (2023; Zbl 1525.11107) Full Text: Link
Kátai, Imre Some old and new problems on arithmetical functions. (English) Zbl 07751571 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133-150 (2023). MSC: 11A07 11A25 11N25 11N64 11D61 11E45 11K16 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133--150 (2023; Zbl 07751571) Full Text: Link
Alkan, Emre Covering sumsets of a prime field and class numbers. (English) Zbl 07751281 Res. Math. Sci. 10, No. 4, Paper No. 39, 38 p. (2023). MSC: 11T30 11R29 11A15 11B13 11T24 PDFBibTeX XMLCite \textit{E. Alkan}, Res. Math. Sci. 10, No. 4, Paper No. 39, 38 p. (2023; Zbl 07751281) Full Text: DOI
Barber, Ben; Erde, Joshua; Keevash, Peter; Roberts, Alexander Isoperimetric stability in lattices. (English) Zbl 1527.05084 Proc. Am. Math. Soc. 151, No. 12, 5021-5029 (2023). Reviewer: Joy Morris (Lethbridge) MSC: 05C25 05C20 11P70 PDFBibTeX XMLCite \textit{B. Barber} et al., Proc. Am. Math. Soc. 151, No. 12, 5021--5029 (2023; Zbl 1527.05084) Full Text: DOI arXiv
Bradshow, Peter J. Growth in sumsets of higher convex functions. (English) Zbl 07745900 Combinatorica 43, No. 4, 769-789 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11B13 11P70 PDFBibTeX XMLCite \textit{P. J. Bradshow}, Combinatorica 43, No. 4, 769--789 (2023; Zbl 07745900) Full Text: DOI arXiv
Shkredov, I. D. On an application of higher energies to Sidon sets. (English) Zbl 07745878 Combinatorica 43, No. 2, 329-345 (2023). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B13 11B75 05B10 PDFBibTeX XMLCite \textit{I. D. Shkredov}, Combinatorica 43, No. 2, 329--345 (2023; Zbl 07745878) Full Text: DOI arXiv
Kiuchi, Isao On a sum involving squarefull numbers. II. (English) Zbl 07743994 Mosc. J. Comb. Number Theory 12, No. 3, 241-246 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 11P99 PDFBibTeX XMLCite \textit{I. Kiuchi}, Mosc. J. Comb. Number Theory 12, No. 3, 241--246 (2023; Zbl 07743994) Full Text: DOI
Ryan, Patrick J. Szemerédi’s theorem: an exploration of impurity, explanation, and content. (English) Zbl 1522.00148 Rev. Symb. Log. 16, No. 3, 700-739 (2023). MSC: 00A30 03A05 11P99 11B25 28D05 37A44 03F03 03B30 03F35 PDFBibTeX XMLCite \textit{P. J. Ryan}, Rev. Symb. Log. 16, No. 3, 700--739 (2023; Zbl 1522.00148) Full Text: DOI
Fang, Jin-Hui On the density of bounded bases. (English) Zbl 07738149 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 832-844 (2023). MSC: 11B13 11B34 11B75 PDFBibTeX XMLCite \textit{J.-H. Fang}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 832--844 (2023; Zbl 07738149) Full Text: DOI
Carlet, Claude; Picek, Stjepan On the exponents of APN power functions and Sidon sets, sum-free sets, and Dickson polynomials. (English) Zbl 07736622 Adv. Math. Commun. 17, No. 6, 1507-1525 (2023). MSC: 94D10 11B13 11T71 12E20 11T06 PDFBibTeX XMLCite \textit{C. Carlet} and \textit{S. Picek}, Adv. Math. Commun. 17, No. 6, 1507--1525 (2023; Zbl 07736622) Full Text: DOI
Konieczny, Jakub Characterisation of Meyer sets via the Freiman-Ruzsa theorem. (English) Zbl 07734976 J. Number Theory 253, 278-294 (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11P70 52C23 11B25 PDFBibTeX XMLCite \textit{J. Konieczny}, J. Number Theory 253, 278--294 (2023; Zbl 07734976) Full Text: DOI arXiv
Rani, Mamta; Sharma, Avnish K.; Tiwari, Sharwan K.; Panigrahi, Anupama On \(r\)-primitive \(k\)-normal elements with prescribed norm and trace over finite fields. (English) Zbl 1521.11079 Finite Fields Appl. 91, Article ID 102253, 15 p. (2023). MSC: 11T30 12E20 11T23 PDFBibTeX XMLCite \textit{M. Rani} et al., Finite Fields Appl. 91, Article ID 102253, 15 p. (2023; Zbl 1521.11079) Full Text: DOI
Kabluchko, Zakhar; Marynych, Alexander; Raschel, Kilian Multivariate multiplicative functions of uniform random vectors in large integer domains. (English) Zbl 07732345 Result. Math. 78, No. 5, Paper No. 201, 22 p. (2023). MSC: 11K65 60F05 11N60 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Result. Math. 78, No. 5, Paper No. 201, 22 p. (2023; Zbl 07732345) Full Text: DOI arXiv
Wiener, Michael J. The largest integer not the sum of distinct 8th powers. (English) Zbl 07732131 J. Integer Seq. 26, No. 5, Article 23.5.4, 19 p. (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B50 11P70 PDFBibTeX XMLCite \textit{M. J. Wiener}, J. Integer Seq. 26, No. 5, Article 23.5.4, 19 p. (2023; Zbl 07732131) Full Text: Link
Maier, Helmut (ed.); Steuding, Jörn (ed.); Steuding, Rasa (ed.) Number theory in memory of Eduard Wirsing. (English) Zbl 07730930 Cham: Springer (ISBN 978-3-031-31616-6/hbk; 978-3-031-31619-7/pbk; 978-3-031-31617-3/ebook). x, 333 p. (2023). MSC: 11-06 11A55 11A25 11P32 11Nxx 11M06 00B30 PDFBibTeX XMLCite \textit{H. Maier} (ed.) et al., Number theory in memory of Eduard Wirsing. Cham: Springer (2023; Zbl 07730930) Full Text: DOI
Brochero Martínez, F. E.; Lemos, A.; Moriya, B. K.; Ribas, S. The main zero-sum constants over \(D_{2n}\times C_2\). (English) Zbl 07725059 SIAM J. Discrete Math. 37, No. 3, 1496-1508 (2023). MSC: 11B75 11B50 11P70 PDFBibTeX XMLCite \textit{F. E. Brochero Martínez} et al., SIAM J. Discrete Math. 37, No. 3, 1496--1508 (2023; Zbl 07725059) Full Text: DOI arXiv
Campos, Marcelo; Coulson, Matthew; Serra, Oriol; Wötzel, Maximilian The typical approximate structure of sets with bounded sumset. (English) Zbl 07725054 SIAM J. Discrete Math. 37, No. 3, 1386-1418 (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11P70 11B30 05C65 PDFBibTeX XMLCite \textit{M. Campos} et al., SIAM J. Discrete Math. 37, No. 3, 1386--1418 (2023; Zbl 07725054) Full Text: DOI arXiv
Murty, M. Ram; Sinha, Kaneenika An introduction to the circle method. (English) Zbl 07713442 Student Mathematical Library 104. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7203-0/pbk; 978-1-4704-7424-9/ebook). xix, 257 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Pxx 11Dxx PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{K. Sinha}, An introduction to the circle method. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07713442) 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
Griesmer, John T.; Le, Anh N.; Lê, Thái Hoàng Bohr sets in sumsets II: countable abelian groups. (English) Zbl 1522.37007 Forum Math. Sigma 11, Paper No. e57, 34 p. (2023). MSC: 37A44 11B13 43A07 PDFBibTeX XMLCite \textit{J. T. Griesmer} et al., Forum Math. Sigma 11, Paper No. e57, 34 p. (2023; Zbl 1522.37007) Full Text: DOI arXiv
Konstantinos, Gaitanas Correction to: “On subset sums of \(\mathbb{Z}_n^{\times}\) which are equally distributed modulo \(n\)”. (English) Zbl 07707514 Arch. Math. 121, No. 1, 109-110 (2023). MSC: 11P70 11B13 PDFBibTeX XMLCite \textit{G. Konstantinos}, Arch. Math. 121, No. 1, 109--110 (2023; Zbl 07707514) Full Text: DOI
Konstantinos, Gaitanas On subset sums of \(\mathbb{Z}_n^{\times}\) which are equally distributed modulo \(n\). (English) Zbl 07707508 Arch. Math. 121, No. 1, 47-54 (2023); correction ibid. 121, No. 1, 109-110 (2023). Reviewer: Wolfgang A. Schmid (Paris) MSC: 11P70 11B13 11B30 PDFBibTeX XMLCite \textit{G. Konstantinos}, Arch. Math. 121, No. 1, 47--54 (2023; Zbl 07707508) Full Text: DOI arXiv
Sharma, Avnish K.; Rani, Mamta; Tiwari, Sharwan K. Primitive normal values of rational functions over finite fields. (English) Zbl 1523.11227 J. Algebra Appl. 22, No. 7, Article ID 2350152, 19 p. (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{A. K. Sharma} et al., J. Algebra Appl. 22, No. 7, Article ID 2350152, 19 p. (2023; Zbl 1523.11227) Full Text: DOI arXiv
Yao, Ting; Xu, Heqian; Tang, Yongsheng; Zhu, Shixin Asymptotically good \(\mathbb{Z}_p\mathbb{Z}_p[u]/\langle u^t\rangle\)-additive cyclic codes. (English) Zbl 07704900 Adv. Math. Commun. 17, No. 5, 1290-1301 (2023). MSC: 94B05 94B15 11T71 PDFBibTeX XMLCite \textit{T. Yao} et al., Adv. Math. Commun. 17, No. 5, 1290--1301 (2023; Zbl 07704900) Full Text: DOI
Zhang, Tao Fuglede’s conjecture holds in \(\mathbb{Z}_p\times\mathbb{Z}_{p^n}\). (English) Zbl 1527.43004 SIAM J. Discrete Math. 37, No. 2, 1180-1197 (2023). MSC: 43A45 52C20 11P99 42B05 43A40 PDFBibTeX XMLCite \textit{T. Zhang}, SIAM J. Discrete Math. 37, No. 2, 1180--1197 (2023; Zbl 1527.43004) Full Text: DOI arXiv
Lev, Vsevolod F.; Serra, Oriol Towards \(3n-4\) in groups of prime order. (English) Zbl 1528.11105 Electron. J. Comb. 30, No. 2, Research Paper P2.48, 10 p. (2023). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P70 11B25 PDFBibTeX XMLCite \textit{V. F. Lev} and \textit{O. Serra}, Electron. J. Comb. 30, No. 2, Research Paper P2.48, 10 p. (2023; Zbl 1528.11105) Full Text: DOI arXiv
Sharma, Sandeep; Sharma, Anuradha Multi-twisted additive codes over finite fields are asymptotically good. (English) Zbl 1518.94142 Cryptogr. Commun. 15, No. 1, 17-33 (2023). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{S. Sharma} and \textit{A. Sharma}, Cryptogr. Commun. 15, No. 1, 17--33 (2023; Zbl 1518.94142) Full Text: DOI
Pavone, Marco Subset sums and block designs in a finite vector space. (English) Zbl 1516.05015 Des. Codes Cryptography 91, No. 7, 2585-2603 (2023). MSC: 05B05 05B25 51E05 11B75 11P70 11B13 05A05 05A18 PDFBibTeX XMLCite \textit{M. Pavone}, Des. Codes Cryptography 91, No. 7, 2585--2603 (2023; Zbl 1516.05015) Full Text: DOI
Fernández-Córdoba, Cristina; Szabo, Steve \(\mathbb{Z}_2\mathbb{Z}_4\)-additive codes as codes over rings. (English) Zbl 1522.94109 Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 133-150 (2023). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{C. Fernández-Córdoba} and \textit{S. Szabo}, Contemp. Math. 785, 133--150 (2023; Zbl 1522.94109) Full Text: DOI
Edmonds, Chelsea; Koutsoukou-Argyraki, Angeliki; Paulson, Lawrence C. Formalising Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions in Isabelle/HOL. (English) Zbl 07695705 J. Autom. Reasoning 67, No. 1, Paper No. 2, 21 p. (2023). MSC: 68V15 05C35 05A17 11P81 03B35 68V15 68V20 68V35 PDFBibTeX XMLCite \textit{C. Edmonds} et al., J. Autom. Reasoning 67, No. 1, Paper No. 2, 21 p. (2023; Zbl 07695705) Full Text: DOI arXiv
Klurman, Oleksiy; Shkredov, Ilya D.; Xu, Max Wenqiang On the random Chowla conjecture. (English) Zbl 07694917 Geom. Funct. Anal. 33, No. 3, 749-777 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11K65 60F05 11N37 11N60 PDFBibTeX XMLCite \textit{O. Klurman} et al., Geom. Funct. Anal. 33, No. 3, 749--777 (2023; Zbl 07694917) Full Text: DOI arXiv
Krachun, Dmitry; Petrov, Fedor On the size of \(A+ \lambda A\) for algebraic \(\lambda \). (English) Zbl 1525.11012 Mosc. J. Comb. Number Theory 12, No. 2, 117-126 (2023). MSC: 11B13 05B10 PDFBibTeX XMLCite \textit{D. Krachun} and \textit{F. Petrov}, Mosc. J. Comb. Number Theory 12, No. 2, 117--126 (2023; Zbl 1525.11012) Full Text: DOI arXiv
Bell, J. P.; Shallit, J. Counterexamples to a conjecture of Dombi in additive number theory. (English) Zbl 07692654 Acta Math. Hung. 169, No. 2, 562-565 (2023). MSC: 11B34 05A20 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{J. Shallit}, Acta Math. Hung. 169, No. 2, 562--565 (2023; Zbl 07692654) Full Text: DOI arXiv
Godinho, H.; Lemos, A.; Neumann, V. G. L.; Oliveira, F. A. A. Quadratic symmetric polynomials and an analogue of the Davenport constant. (English) Zbl 07692642 Acta Math. Hung. 169, No. 2, 382-396 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11P70 11B30 PDFBibTeX XMLCite \textit{H. Godinho} et al., Acta Math. Hung. 169, No. 2, 382--396 (2023; Zbl 07692642) Full Text: DOI arXiv
Peng, Jiangtao; Wang, Mingrui; Hu, Yuting; Li, Yuanlin Inverse problems associated with subsequence sums in \(C_p \oplus C_p\). II. (English) Zbl 1518.11025 Discrete Math. 346, No. 8, Article ID 113422, 10 p. (2023). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B75 11P70 PDFBibTeX XMLCite \textit{J. Peng} et al., Discrete Math. 346, No. 8, Article ID 113422, 10 p. (2023; Zbl 1518.11025) Full Text: DOI
Wang, Xuan; Shi, Minjia Gray images of cyclic codes over \(\mathbb{Z}_{p^2}\) and \(\mathbb{Z}_p \mathbb{Z}_{p^2}\). (English) Zbl 1518.94143 Discrete Math. 346, No. 7, Article ID 113382, 14 p. (2023). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{X. Wang} and \textit{M. Shi}, Discrete Math. 346, No. 7, Article ID 113382, 14 p. (2023; Zbl 1518.94143) Full Text: DOI arXiv
Hegyvári, Norbert On Boolean functions defined on bracket sequences. (English) Zbl 1524.11065 DML, Discrete Math. Lett. 12, 45-49 (2023). MSC: 11B75 11B13 PDFBibTeX XMLCite \textit{N. Hegyvári}, DML, Discrete Math. Lett. 12, 45--49 (2023; Zbl 1524.11065) Full Text: DOI
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
Avelar, D. V.; Brochero Martínez, F. E.; Ribas, S. A note on Bass’ conjecture. (English) Zbl 07679889 J. Number Theory 249, 462-469 (2023). Reviewer: Jiangtao Peng (Tianjin) MSC: 11B75 11P70 PDFBibTeX XMLCite \textit{D. V. Avelar} et al., J. Number Theory 249, 462--469 (2023; Zbl 07679889) Full Text: DOI arXiv
Sagar, Vidya; Sarma, Ritumoni ACD codes over \(\mathbb{Z}_2 \mathcal{R}\) and the MacWilliams identities. (English) Zbl 1521.94098 J. Appl. Math. Comput. 69, No. 1, 1221-1238 (2023). MSC: 94B05 94B25 94B60 11T71 PDFBibTeX XMLCite \textit{V. Sagar} and \textit{R. Sarma}, J. Appl. Math. Comput. 69, No. 1, 1221--1238 (2023; Zbl 1521.94098) Full Text: DOI
Mondal, Santanu; Paul, Krishnendu; Paul, Shameek On a different weighted zero-sum constant. (English) Zbl 1523.11041 Discrete Math. 346, No. 6, Article ID 113350, 8 p. (2023). Reviewer: Luis Gallardo (Brest) MSC: 11B50 05E16 11P70 PDFBibTeX XMLCite \textit{S. Mondal} et al., Discrete Math. 346, No. 6, Article ID 113350, 8 p. (2023; Zbl 1523.11041) Full Text: DOI arXiv
Mohammadi, Ali; Stevens, Sophie Attaining the exponent 5/4 for the sum-product problem in finite fields. (English) Zbl 1518.11013 Int. Math. Res. Not. 2023, No. 4, 3516-3532 (2023). Reviewer: Chao Liu (Memphis) MSC: 11B30 11B13 11B75 PDFBibTeX XMLCite \textit{A. Mohammadi} and \textit{S. Stevens}, Int. Math. Res. Not. 2023, No. 4, 3516--3532 (2023; Zbl 1518.11013) Full Text: DOI arXiv
Hui, W.; Li, Y.; Peng, J.; Wang, M. Inverse problems associated with \(k\)-sums of sequences over finite abelian groups. (English) Zbl 1524.11066 Acta Math. Hung. 169, No. 1, 312-324 (2023). MSC: 11B75 11P70 PDFBibTeX XMLCite \textit{W. Hui} et al., Acta Math. Hung. 169, No. 1, 312--324 (2023; Zbl 1524.11066) Full Text: DOI
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
Andrews, G. E.; Jha, Sumit Kumar; López-Bonilla, J. Sums of squares, triangular numbers, and divisor sums. (English) Zbl 1516.11012 J. Integer Seq. 26, No. 2, Article 23.2.5, 8 p. (2023). Reviewer: Armen Bagdasaryan (Madīnat al-Kuwait) MSC: 11A25 11E25 11P99 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., J. Integer Seq. 26, No. 2, Article 23.2.5, 8 p. (2023; Zbl 1516.11012) Full Text: Link
Zhu, Li Two prime squares, four prime cubes and powers of 2. (English) Zbl 1525.11109 Ramanujan J. 60, No. 2, 427-445 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{L. Zhu}, Ramanujan J. 60, No. 2, 427--445 (2023; Zbl 1525.11109) Full Text: DOI
Inoue, Shōta; Kiuchi, Isao On sums of gcd-sum functions. (English) Zbl 1512.11006 Int. J. Number Theory 19, No. 3, 593-619 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11A25 11N37 11P99 PDFBibTeX XMLCite \textit{S. Inoue} and \textit{I. Kiuchi}, Int. J. Number Theory 19, No. 3, 593--619 (2023; Zbl 1512.11006) Full Text: DOI
Yildiz, Eda; Abualrub, Taher; Aydogdu, Ismail On the number of \(\mathbb{Z}_2 \mathbb{Z}_4\) and \(\mathbb{Z}_p \mathbb{Z}_{p^2}\)-additive cyclic codes. (English) Zbl 1519.94248 Appl. Algebra Eng. Commun. Comput. 34, No. 1, 81-97 (2023). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{E. Yildiz} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 1, 81--97 (2023; Zbl 1519.94248) Full Text: DOI
van Hintum, Peter; Spink, Hunter; Tiba, Marius Sets in \(\mathbb{Z}^k\) with doubling \(2^k + \delta\) are near convex progressions. (English) Zbl 1528.11106 Adv. Math. 413, Article ID 108830, 72 p. (2023). Reviewer: Paolo Leonetti (Milano) MSC: 11P70 11B13 52A40 PDFBibTeX XMLCite \textit{P. van Hintum} et al., Adv. Math. 413, Article ID 108830, 72 p. (2023; Zbl 1528.11106) Full Text: DOI arXiv
Costello, Kevin P.; Elvin, Gabriel Avoiding monochromatic solutions to 3-term equations. (English) Zbl 1506.05205 J. Comb. 14, No. 3, 281-304 (2023). MSC: 05D10 11B75 PDFBibTeX XMLCite \textit{K. P. Costello} and \textit{G. Elvin}, J. Comb. 14, No. 3, 281--304 (2023; Zbl 1506.05205) Full Text: DOI arXiv
Kaminski, Michael; Shparlinski, Igor E.; Waldschmidt, Michel On sets of linear forms of maximal complexity. (English) Zbl 07638239 Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023). MSC: 68Q17 11C08 13F20 PDFBibTeX XMLCite \textit{M. Kaminski} et al., Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023; Zbl 07638239) Full Text: DOI arXiv
Lev, Vsevolod F. Small doubling in cyclic groups. (English) Zbl 1512.11072 J. Number Theory 243, 561-614 (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11P70 11B75 PDFBibTeX XMLCite \textit{V. F. Lev}, J. Number Theory 243, 561--614 (2023; Zbl 1512.11072) Full Text: DOI arXiv
Eliahou, Shalom; García-García, Juan Ignacio; Marín-Aragón, Daniel; Vigneron-Tenorio, Alberto The Buchweitz set of a numerical semigroup. (English) Zbl 1514.11062 Bull. Braz. Math. Soc. (N.S.) 54, No. 1, Paper No. 4, 11 p. (2023). Reviewer: Georges Grekos (St. Étienne) MSC: 11P70 PDFBibTeX XMLCite \textit{S. Eliahou} et al., Bull. Braz. Math. Soc. (N.S.) 54, No. 1, Paper No. 4, 11 p. (2023; Zbl 1514.11062) Full Text: DOI arXiv
Qu, Yongke; Li, Yuanlin On a conjecture of Zhuang and Gao. (English) Zbl 1511.11029 Colloq. Math. 171, No. 1, 113-126 (2023). Reviewer: Chao Liu (Memphis) MSC: 11B75 11P70 PDFBibTeX XMLCite \textit{Y. Qu} and \textit{Y. Li}, Colloq. Math. 171, No. 1, 113--126 (2023; Zbl 1511.11029) Full Text: DOI arXiv
Amanov, Alimzhan; Yeliussizov, Damir Tensor slice rank and Cayley’s first hyperdeterminant. (English) Zbl 1508.15015 Linear Algebra Appl. 656, 224-246 (2023). Reviewer: Lienhard Wimmer (Isny) MSC: 15A69 15A72 15A15 13A50 05B10 11B13 51M20 52B05 PDFBibTeX XMLCite \textit{A. Amanov} and \textit{D. Yeliussizov}, Linear Algebra Appl. 656, 224--246 (2023; Zbl 1508.15015) Full Text: DOI arXiv