Zhu, Li Almost prime triples and Chen’s theorem. (English) Zbl 07963374 Int. J. Number Theory 21, No. 1, 133-151 (2025). MSC: 11N25 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Rulin; Jin, Yutao Groups whose same-order types are arithmetic progressions. (English) Zbl 07950847 Int. J. Group Theory 14, No. 3, 165-170 (2025). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20D60 20D15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuda; Dai, Xiangjun; Li, Huixi Some computational results on a conjecture of de Polignac about numbers of the form \(p + 2^k\). (English) Zbl 07930593 J. Number Theory 266, 249-268 (2025). MSC: 11P32 11B25 11Y16 11Y55 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Leng, James; Sah, Ashwin; Sawhney, Mehtaab Improved bounds for five-term arithmetic progressions. (English) Zbl 07964098 Math. Proc. Camb. Philos. Soc. 177, No. 3, 371-413 (2024). MSC: 11B25 11B30 11B75 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Makki Naciri, Abderrahim On the variant \(Q(n!)=P(x)\) of the Brocard-Ramanujan Diophantine equation. (English) Zbl 07951619 Ramanujan J. 65, No. 4, 1791-1798 (2024). MSC: 11A15 11A41 11B25 11C08 11D45 11D72 × Cite Format Result Cite Review PDF Full Text: DOI
van Hintum, Peter; Keevash, Peter Sharp bounds for a discrete John’s theorem. (English) Zbl 07938735 Comb. Probab. Comput. 33, No. 4, 484-486 (2024). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11B25 52C07 52A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jakimczuk, Rafael \(k\)-free and \(k\)-full numbers with prime factors in an arithmetic progression. (English) Zbl 07930837 Gulf J. Math. 17, No. 2, 292-314 (2024). MSC: 11N13 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Sobolewski, Bartosz On monochromatic arithmetic progressions in binary words associated with pattern sequences. (English) Zbl 07922979 Theor. Comput. Sci. 1018, Article ID 114815, 27 p. (2024). MSC: 68Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Jyotsna; Sarma, Ritumoni; Laishram, Shanta Arithmetic progressions of \(r\)-primitive elements in a field. (English) Zbl 07922404 Bull. Braz. Math. Soc. (N.S.) 55, No. 3, Paper No. 40, 15 p. (2024). MSC: 12E20 11T23 12E30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dan Sums of coefficients of general \(L\)-functions over arithmetic progressions and applications. (English) Zbl 07921104 J. Number Theory 265, 117-137 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11F30 × Cite Format Result Cite Review PDF Full Text: DOI
Hua, Guodong The distributions of coefficients of triple product \(L\)-functions over arithmetic progressions. (English) Zbl 1546.11068 Funct. Approximatio, Comment. Math. 70, No. 2, 143-164 (2024). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F30 11F11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Balasubramanian, R.; Deshouillers, Jean-Marc; Gun, Sanoli The set of values of any finite iteration of Euler’s \(\varphi\) function contains long arithmetic progressions. (English) Zbl 07903820 Acta Arith. 214, 343-351 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11B25 11B05 11N32 11A25 × Cite Format Result Cite Review PDF Full Text: DOI
Grundman, Helen G.; Harrington, Joshua; Wong, Tony W. H. Arithmetic progressions of \(b\)-Niven numbers. (English) Zbl 07903767 Rocky Mt. J. Math. 54, No. 3, 723-733 (2024). Reviewer: Rusen Li (Xiangtan) MSC: 11A63 11B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Liuying On the least almost-prime in arithmetic progressions. (English) Zbl 07893397 Czech. Math. J. 74, No. 2, 535-548 (2024). MSC: 11N13 11N35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Pongsriiam, Prapanpong Sums of divisors on arithmetic progressions. (English) Zbl 07880180 Period. Math. Hung. 88, No. 2, 443-460 (2024). Reviewer: István Gaál (Debrecen) MSC: 11A25 11B25 11N64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kerr, Bryce; Mello, Jorge; Shparlinski, Igor E. An effective local-global principle and additive combinatorics in finite fields. (English) Zbl 07874884 J. Anal. Math. 152, No. 1, 109-135 (2024). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B30 11G25 37P05 11B34 11T06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moree, Pieter; Perucca, Antonella; Sgobba, Pietro The distribution of the multiplicative index of algebraic numbers over residue classes. (English) Zbl 07873894 Abh. Math. Semin. Univ. Hamb. 94, No. 1, 1-17 (2024). Reviewer: Ratko Darda (Basel) MSC: 11R45 11A07 11R44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harrington, Joshua; Litman, Matthew; Wong, Tony W. H. Every arithmetic progression contains infinitely many \(b\)-Niven numbers. (English) Zbl 07873461 Bull. Aust. Math. Soc. 109, No. 3, 409-413 (2024). Reviewer: Rusen Li (Xiangtan) MSC: 11A63 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadek, Mohammad; Yesin, Tugba A dynamical analogue of a question of Fermat. (English) Zbl 07870738 Math. Scand. 130, No. 1, 5-20 (2024). Reviewer: Leonard Jones (Shippensburg) MSC: 37P05 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daykin, Jacqueline W.; Köppl, Dominik; Kübel, David; Stober, Florian On arithmetically progressed suffix arrays and related Burrows-Wheeler transforms. (English) Zbl 07869042 Discrete Appl. Math. 355, 180-199 (2024). MSC: 68Rxx 68Wxx 68Pxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agrawal, Raj; Bhatia, Prarthana; Gupta, Kratik; Lamb, Powers; Lott, Andrew; Rice, Alex; Ward, Christine Rose Computations and observations on congruence covering systems. (English) Zbl 07860863 Integers 24A, Paper A1, 10 p. (2024). Reviewer: Štefan Porubský (Praha) MSC: 11A07 11B25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bennett, Michael A.; Walsh, P. G. Computing four-term arithmetic progressions of powerful numbers. (English) Zbl 07860858 Integers 24A, Paper A3, 5 p. (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N25 11B25 × Cite Format Result Cite Review PDF Full Text: Link
Onphaeng, Kritkhajohn; Khemaratchatakumthorn, Tammatada; Phunphayap, Phakhinkon Napp; Pongsriiam, Prapanpong Exact formulas for the number of palindromes in certain arithmetic progressions. (English) Zbl 1539.11021 J. Integer Seq. 27, No. 4, Article 24.4.8, 30 p. (2024). MSC: 11A63 05A15 × Cite Format Result Cite Review PDF Full Text: Link
Wu, Bing-Ling; Yan, Xiao-Hui On the denominators of generalized harmonic numbers. II. (English) Zbl 07829415 Publ. Math. Debr. 104, No. 1-2, 221-230 (2024). MSC: 11B05 11B25 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Wu-Xia; Chen, Yong-Gao On a problem on restricted \(k\)-colored partitions. II. (English) Zbl 1535.05030 Ramanujan J. 63, No. 4, 1109-1118 (2024). MSC: 05A17 11P83 × Cite Format Result Cite Review PDF Full Text: DOI
Chahal, Bittu; Chaubey, Sneha; Goel, Shivani On the distribution of index of Farey sequences. (English) Zbl 1536.11041 Res. Number Theory 10, No. 2, Paper No. 27, 34 p. (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B57 11N37 11N69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cranston, Michael; Mountford, Thomas A new proof of the Erdős-Kac central limit theorem. (English) Zbl 1541.11079 Trans. Am. Math. Soc. 377, No. 2, 1475-1503 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N64 11K65 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Murakami, Shintaro; Tachiya, Yohei Linear independence of certain numbers in the base-\(b\) number system. (English) Zbl 1540.11094 Arch. Math. 122, No. 1, 31-40 (2024). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Adam Elementary number theory problems. XII: Primes in arithmetic progression. (English) Zbl 1540.68286 Formaliz. Math. 31, No. 1, 277-286 (2023). MSC: 68V20 11A41 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Filaseta, Michael; Juillerat, Jacob; Luckner, Thomas Consecutive primes which are widely digitally delicate and Brier numbers. (English) Zbl 07856158 Integers 23, Paper A75, 24 p. (2023). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11B25 11A41 11A63 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Madriz-Mendoza, Maira Aposyndesis in \(\mathbb{N}\). (English) Zbl 07830514 Commentat. Math. Univ. Carol. 64, No. 3, 359-371 (2023). MSC: 11B25 54D05 11A41 11B05 54A05 54D10 × Cite Format Result Cite Review PDF Full Text: DOI
van Dobben de Bruyn, Josse; Gijswijt, Dion On the size of subsets of \(\mathbb{F}_q^n\) avoiding solutions to linear systems with repeated columns. (English) Zbl 1533.11024 Electron. J. Comb. 30, No. 4, Research Paper P4.1, 30 p. (2023). MSC: 11B25 05D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borsos, B.; Kovács, A.; Tihanyi, N. On reciprocal sums of infinitely many arithmetic progressions with increasing prime power moduli. (English) Zbl 1549.11150 Acta Math. Hung. 171, No. 2, 203-220 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11N05 11N13 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Burgin, Alex; Goldberg, Samuel; Keleti, Tamás; MacMahon, Connor; Wang, Xianzhi Large sets avoiding infinite arithmetic / geometric progressions. (English) Zbl 1538.28001 Real Anal. Exch. 48, No. 2, 351-364 (2023). MSC: 28A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Miller, Joe; Warnberg, Nathan Anti-van der Waerden numbers of graph products of cycles. (English) Zbl 1528.05028 Australas. J. Comb. 87, Part 1, 24-40 (2023). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C15 05C76 05C38 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Matomäki, Kaisa; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni Higher uniformity of arithmetic functions in short intervals. I: All intervals. (English) Zbl 1541.11081 Forum Math. Pi 11, Paper No. e29, 97 p. (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni Multiplicative functions in short arithmetic progressions. (English) Zbl 1530.11077 Proc. Lond. Math. Soc. (3) 127, No. 2, 366-446 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de la Bretèche, R.; Fiorilli, D. Moments of moments of primes in arithmetic progressions. (English) Zbl 1530.11072 Proc. Lond. Math. Soc. (3) 127, No. 1, 165-220 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N13 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Konieczny, Jakub Characterisation of Meyer sets via the Freiman-Ruzsa theorem. (English) Zbl 1535.11138 J. Number Theory 253, 278-294 (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11P70 52C23 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Versteegen, Leo Linear configurations containing 4-term arithmetic progressions are uncommon. (English) Zbl 1519.05244 J. Comb. Theory, Ser. A 200, Article ID 105792, 38 p. (2023). MSC: 05D10 11B75 05C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berktav, Kadri İlker; Özbudak, Ferruh Euclidean polynomials for certain arithmetic progressions and the multiplicative group of \(\mathbb{F}_{p^2}\). (English) Zbl 1529.11006 Quaest. Math. 46, No. 7, 1283-1292 (2023). Reviewer: Jitender Singh (Amritsar) MSC: 11A41 11C08 11N13 11T06 12E20 × Cite Format Result Cite Review PDF Full Text: DOI
Konstantinos, Gaitanas On subset sums of \(\mathbb{Z}_n^{\times}\) which are equally distributed modulo \(n\). (English) Zbl 1531.11097 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elsholtz, Christian; Klahn, Benjamin; Lipnik, Gabriel F. Large subsets of \(\mathbb{Z}_m^n\) without arithmetic progressions. (English) Zbl 1523.11017 Des. Codes Cryptography 91, No. 4, 1443-1452 (2023). MSC: 11B25 05D05 20K01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petrov, F. Logarithmic asymptotics of Landau-Okhotin function. (English) Zbl 1524.11020 Acta Math. Hung. 169, No. 1, 272-276 (2023). MSC: 11B25 11B75 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Mesloub, F.; Merah, A.; Boulaaras, S. Solution blow-up for a fractional fourth-order equation of Moore-Gibson-Thompson type with nonlinearity nonlocal in time. (English) Zbl 1527.35475 Math. Notes 113, No. 1, 72-79 (2023). MSC: 35R11 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor Zhenyu; Li, Jinjiang; Zhang, Min Piatetski-Shapiro primes in arithmetic progressions. (English) Zbl 1525.11099 Ramanujan J. 60, No. 3, 677-692 (2023). Reviewer: László Tóth (Pécs) MSC: 11N05 11L07 11B25 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinjiang; Zhang, Min; Cai, Yingchun On the least almost-prime in arithmetic progression. (English) Zbl 07655761 Czech. Math. J. 73, No. 1, 177-188 (2023). MSC: 11N13 11N35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Tsz Ho Arithmetic progressions among powerful numbers. (English) Zbl 1515.11089 J. Integer Seq. 26, No. 1, Article 23.1.1, 10 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11N25 11D41 11A05 11B25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mao, Yaping; Ozeki, Kenta; Robertson, Aaron; Wang, Zhao Arithmetic progressions, quasi progressions, and Gallai-Ramsey colorings. (English) Zbl 1508.05169 J. Comb. Theory, Ser. A 193, Article ID 105672, 28 p. (2023). MSC: 05D10 × Cite Format Result Cite Review PDF Full Text: DOI
Koperecz, Julien Triquadratic \(p\)-rational fields. (English) Zbl 1509.11106 J. Number Theory 242, 402-408 (2023). MSC: 11R32 11R29 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Adam Elementary number theory problems. VI. (English) Zbl 1539.68365 Formaliz. Math. 30, No. 3, 235-244 (2022). MSC: 68V20 11A41 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Sah, Ashwin; Sawhney, Mehtaab Local limit theorems for subgraph counts. (English) Zbl 1519.05223 J. Lond. Math. Soc., II. Ser. 105, No. 2, 950-1011 (2022). MSC: 05C80 05C30 60F05 06E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nunes, Ramon M. Moments of the distribution of \(k\)-free numbers in short intervals and arithmetic progressions. (English) Zbl 1529.11100 Bull. Lond. Math. Soc. 54, No. 4, 1282-1298 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Madriz-Mendoza, Maira The common division topology on \(\mathbb{N}\). (English) Zbl 1524.54054 Commentat. Math. Univ. Carol. 63, No. 3, 329-349 (2022). MSC: 54D05 11B25 11A41 11B05 54A05 54D10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ya-Li A note on a problem of Erdős, Nathanson and Sárközy. (English) Zbl 1538.11027 Period. Math. Hung. 85, No. 2, 275-279 (2022). MSC: 11B13 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Gohn, Michael; Harrington, Joshua; Lebiere, Sophia; Samamah, Hani; Shappell, Kyla; Wong, Tony W. H. Arithmetic progressions of \(b\)-prodigious numbers. (English) Zbl 1511.11004 J. Integer Seq. 25, No. 8, Article 22.8.7, 10 p. (2022). Reviewer: Amin Witno (Amman) MSC: 11A63 11B25 × Cite Format Result Cite Review PDF Full Text: Link
Kirova, V. O.; Sagdeev, A. A. Two-colorings of normed spaces with no long monochromatic unit arithmetic progressions. (English. Russian original) Zbl 1505.05123 Dokl. Math. 106, No. 2, 348-350 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 54-56 (2022). MSC: 05D10 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Cereceda, José L. A note on the coefficients of power sums of arithmetic progressions. (English) Zbl 1513.11072 Miskolc Math. Notes 23, No. 2, 551-557 (2022). MSC: 11B68 11B73 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fox, Jacob; Xu, Max Wenqiang; Zhou, Yunkun Discrepancy in modular arithmetic progressions. (English) Zbl 1510.11129 Compos. Math. 158, No. 11, 2082-2108 (2022). Reviewer: Anton Shutov (Vladimir) MSC: 11K38 11B25 11A07 11B30 05D40 05D10 11A25 11B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barthel, Jim; Müller, Volker A conjecture on primes in arithmetic progressions and geometric intervals. (English) Zbl 1506.11119 Am. Math. Mon. 129, No. 10, 979-983 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11N13 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Delgadillo-Piñón, Gerardo Totally Brown subsets of the Golomb space and the Kirch space. (English) Zbl 07613030 Commentat. Math. Univ. Carol. 63, No. 2, 189-219 (2022). MSC: 11B25 54D05 11A41 11B05 54A05 54D10 × Cite Format Result Cite Review PDF Full Text: DOI
Bollobás, Béla Remarks on a paper of J. Barát and P. P. Varjú. (English. French summary) Zbl 1518.11012 J. Théor. Nombres Bordx. 34, No. 2, 515-516 (2022). MSC: 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
David, Chantal; Devin, Lucile; Nam, Jungbae; Schlitt, Jeremy Lemke Oliver and Soundararajan bias for consecutive sums of two squares. (English) Zbl 1514.11057 Math. Ann. 384, No. 3-4, 1181-1242 (2022). Reviewer: Prapanpong Pongsriiam (Nakhon Pathom) MSC: 11N25 11N69 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO MO
Lazorec, Mihai-Silviu; Tărnăuceanu, Marius Groups whose same-order types are arithmetic progressions. (English) Zbl 1514.20086 Quaest. Math. 45, No. 8, 1309-1316 (2022). Reviewer: Yangming Li (Guangzhou) MSC: 20D60 20D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aedo, Ibai; Grimm, Uwe; Nagai, Yasushi; Staynova, Petra Monochromatic arithmetic progressions in binary Thue-Morse-like words. (English) Zbl 1537.68156 Theor. Comput. Sci. 934, 65-80 (2022). MSC: 68R15 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Xiao; Hong, Shaofang A generalisation of a theorem of Erdős and Niven. (English) Zbl 1505.11042 Bull. Aust. Math. Soc. 106, No. 2, 215-223 (2022). Reviewer: Weidong Gao (Tianjin) MSC: 11B75 11B25 11B83 11N13 × Cite Format Result Cite Review PDF Full Text: DOI
Nagai, Yasushi; Akiyama, Shigeki; Lee, Jeong-Yup On arithmetic progressions in non-periodic self-affine tilings. (English) Zbl 1503.37036 Ergodic Theory Dyn. Syst. 42, No. 9, 2957-2989 (2022). MSC: 37B52 52C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Green, Ben New lower bounds for van der Waerden numbers. (English) Zbl 1510.11032 Forum Math. Pi 10, Paper No. e18, 51 p. (2022). Reviewer: Sándor Kiss (Budapest) MSC: 11B25 11B30 05D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berikkyzy, Zhanar; Schulte, Alex; Sprangel, Elizabeth; Walker, Shanise; Warnberg, Nathan; Young, Michael Anti-van der Waerden numbers on graphs. (English) Zbl 1493.05205 Graphs Comb. 38, No. 4, Paper No. 124, 16 p. (2022). MSC: 05C55 05D10 05C15 05C76 05C05 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campos, Marcelo; Collares, Maurício; Morris, Robert; Morrison, Natasha; Souza, Victor The typical structure of sets with small sumset. (English) Zbl 1498.11032 Int. Math. Res. Not. 2022, No. 14, 11011-11055 (2022). MSC: 11B13 11B30 11P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Hùng Việt When the nontrivial, small divisors of a natural number are in arithmetic progression. (English) Zbl 1497.11027 Quaest. Math. 45, No. 6, 969-977 (2022). MSC: 11B25 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yu-Chen; Pan, Hao On the gaps between consecutive primes. (English) Zbl 1504.11096 Forum Math. 34, No. 4, 919-932 (2022). Reviewer: Michael Th. Rassias (Zürich) MSC: 11N05 05D40 11N13 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Egbert, Nick On elliptic Carmichael numbers in arithmetic progressions. (English) Zbl 1496.11007 Integers 22, Paper A6, 18 p. (2022). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A51 11N25 11G05 × Cite Format Result Cite Review PDF Full Text: Link
Huicochea, M. A Freiman’s 2.4 theorem-type result for different subsets. (English) Zbl 1524.11019 Acta Math. Hung. 166, No. 2, 393-406 (2022). MSC: 11B13 11P70 05B10 × Cite Format Result Cite Review PDF Full Text: DOI
Labihi, O.; Raouj, A. Short sums of multiplicative functions. (Sommes courtes de certaines fonctions multiplicatives.) (French. English summary) Zbl 1497.11016 Int. J. Number Theory 18, No. 8, 1651-1668 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A25 11N05 11N56 11C08 11N64 × Cite Format Result Cite Review PDF Full Text: DOI
Pach, Péter Pál Bounds on the size of progression-free sets in \(\mathbb{Z}_m^n\). (English) Zbl 1514.11018 Unif. Distrib. Theory 17, No. 1, 1-10 (2022). Reviewer: C. P. Anil Kumar (Andhra Pradesh) MSC: 11B25 05D99 × Cite Format Result Cite Review PDF Full Text: DOI
Martirosyan, Lilit; Moree, Pieter Large absolute values of cyclotomic polynomials at roots of unity. (English) Zbl 1504.11101 J. Number Theory 239, 251-272 (2022). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huaning; Qi, Yuchan Gowers norms and pseudorandom measures of subsets. (English) Zbl 1494.11064 Front. Math. China 17, No. 2, 289-313 (2022); translation from Adv. Math., Beijing 48, No. 4, 399–418 (2019). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K38 11K45 11B25 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xihe; Broersma, Hajo; Wang, Ligong Integer colorings with no rainbow 3-term arithmetic progression. (English) Zbl 1495.11019 Electron. J. Comb. 29, No. 2, Research Paper P2.28, 15 p. (2022). Reviewer: Yoshiharu Kohayakawa (São Paulo) MSC: 11B25 11B75 05D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Vega, F. Javier A complete solution of the partition of a number into arithmetic progressions. (English) Zbl 1499.11304 JP J. Algebra Number Theory Appl. 53, No. 2, 109-122 (2022). MSC: 11P81 11A51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Vega, F. Javier An extension of Furstenberg’s theorem of the infinitude of primes. (English) Zbl 1499.11023 JP J. Algebra Number Theory Appl. 53, No. 1, 21-43 (2022). MSC: 11A41 11N80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Durcik, Polona; Kovač, Vjekoslav A Szemerédi-type theorem for subsets of the unit cube. (English) Zbl 1486.05305 Anal. PDE 15, No. 2, 507-549 (2022). MSC: 05D10 42B20 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sripayap, Angkana; Ruengsinsub, Pattira; Srichan, Teerapat On generalized square-full numbers in an arithmetic progression. (English) Zbl 07511558 Czech. Math. J. 72, No. 1, 149-163 (2022). MSC: 11B50 11N25 11N69 × Cite Format Result Cite Review PDF Full Text: DOI
Alkan, Emre Number of shifted primes as \(k\)-free integers. (English) Zbl 1494.11079 Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 15-34 (2022). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11N13 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Wu-Xia; Chen, Yong-Gao On a problem on restricted \(k\)-colored partitions. (English) Zbl 1486.05023 Int. J. Number Theory 18, No. 3, 467-472 (2022). MSC: 05A17 11P83 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Shubin, Andrei Fractional parts of non-integer powers of primes. II. (English) Zbl 1505.11120 Q. J. Math. 73, No. 1, 277-310 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N13 11L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guo, Victor Zhenyu; Qi, Jinyun A generalization of Piatetski-Shapiro sequences. (English) Zbl 1527.11019 Taiwanese J. Math. 26, No. 1, 33-47 (2022). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11B83 11L07 11N13 × Cite Format Result Cite Review PDF Full Text: DOI
Alsetri, Ali; Shao, Xuancheng On Hilbert cubes and primitive roots in finite fields. (English) Zbl 1497.11193 Arch. Math. 118, No. 1, 49-56 (2022). MSC: 11L40 11B25 11B75 11P70 × Cite Format Result Cite Review PDF Full Text: DOI
Hejda, Tomáš; Kala, Vítězslav Ternary quadratic forms representing a given arithmetic progression. (English) Zbl 1487.11036 J. Number Theory 234, 140-152 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srichan, Teerapat On the distribution of \((k,r)\)-integer in an arithmetic progression. (English) Zbl 1490.11095 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 3, 16 p. (2022). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11N37 11N69 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong-Gao; Wu, Bing-Ling On generalized harmonic numbers. (English) Zbl 1509.11018 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 107-129 (2021). MSC: 11B83 11B05 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Gilson, Amelia; Killen, Hadley; Lengyel, Tamás; Miller, Steven J.; Razek, Nadia; Siktar, Joshua M.; Sulkin, Liza Zeckendorf’s theorem using indices in an arithmetic progression. (English) Zbl 1503.11028 Fibonacci Q. 59, No. 4, 327-337 (2021). MSC: 11B39 11A67 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Alon, Noga; Alweiss, Ryan; Liu, Yang P.; Martinsson, Anders; Narayanan, Shyam Arithmetic progressions in sumsets of sparse sets. (English) Zbl 1497.11024 Integers 21A, Paper A3, 7 p. (2021). Reviewer: Xiaohui Yan (Nanjing) MSC: 11B13 11B25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ramaré, Olivier Accurate computations of Euler products over primes in arithmetic progressions. (English) Zbl 1489.11209 Funct. Approximatio, Comment. Math. 65, No. 1, 33-45 (2021). Reviewer: Michael Th. Rassias (Zürich) MSC: 11Y60 11N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Maji, Hemanta K.; Nguyen, Hai H.; Paskin-Cherniavsky, Anat; Suad, Tom; Wang, Mingyuan Leakage-resilience of the Shamir secret-sharing scheme against physical-bit leakages. (English) Zbl 1479.94336 Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12697, 344-374 (2021). MSC: 94A62 94A60 94B05 × Cite Format Result Cite Review PDF Full Text: DOI
Matsusaka, Toshiki; Saito, Kota Linear Diophantine equations in Piatetski-Shapiro sequences. (English) Zbl 1490.11079 Acta Arith. 200, No. 1, 91-110 (2021). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 11D04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkowitz, Ross; Sah, Ashwin; Sawhney, Mehtaab Number of arithmetic progressions in dense random subsets of \(\mathbb{Z}/n\mathbb{Z}\). (English) Zbl 1503.11016 Isr. J. Math. 244, No. 2, 589-620 (2021). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 11B25 60F05 60C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pongsriiam, Prapanpong; Subwattanachai, Kittipong Arithmetic progressions in the values of a quadratic polynomial. (English) Zbl 1489.11017 Am. Math. Mon. 128, No. 10, 937-941 (2021). Reviewer: Leonard Jones (Shippensburg) MSC: 11B25 11C08 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. III. (English) Zbl 1482.11131 Ramanujan J. 56, No. 2, 697-719 (2021). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A25 11B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Saradha, N. Rational points with large denominator on Erdős-Selfridge. (English) Zbl 1488.11094 Publ. Math. Debr. 99, No. 3-4, 317-329 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI