Baier, Stephan; Lynch, Sean B. Large sieve inequalities with power moduli and Waring’s problem. (English) Zbl 07928583 Proc. Am. Math. Soc. 152, No. 11, 4593-4605 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N35 11P05 11B57 11J25 11J71 11L03 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chahal, Bittu; Chaubey, Sneha Pair correlation of Farey fractions with square-free denominators. (English) Zbl 07927170 Acta Arith. 215, No. 4, 289-307 (2024). Reviewer: Manuel Hauke (Trondheim) MSC: 11B57 11J71 11K06 11K36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mauth, Lukas Exact formula for cubic partitions. (English) Zbl 07904951 Ramanujan J. 64, No. 4, 1323-1334 (2024). MSC: 11B57 11F03 11F20 11F30 11F37 11P82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderson, Jack; Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru Distribution of angles to lattice points seen from a fast moving observer. (English) Zbl 07881680 Res. Number Theory 10, No. 3, Paper No. 62, 31 p. (2024). MSC: 11P21 11K99 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bożyk, Łukasz Combinatorial proof of Girard-Waring formula. (English) Zbl 1543.05006 Contrib. Discrete Math. 19, No. 2, 20-22 (2024). MSC: 05A19 05E05 11B39 11B57 × Cite Format Result Cite Review PDF Full Text: Link
Richman, David Harry Lower rational approximations and Farey staircases. (English) Zbl 1545.11018 Integers 24, Paper A37, 18 p. (2024). MSC: 11B57 11A25 11J70 26A30 40A05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Shparlinski, Igor E. Rational numbers with small denominators in short intervals. (English) Zbl 07846264 Arch. Math. 122, No. 6, 629-637 (2024). MSC: 11B57 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Mauth, Lukas On the asymptotics of certain colored partitions. arXiv:2412.11622 Preprint, arXiv:2412.11622 [math.NT] (2024). MSC: 11P82 11B57 11F03 11F20 11F30 11F37 × Cite Format Result Cite Full Text: arXiv OA License
Benzaira, Sammy; Short, Ian; van Son, Matty; Zabolotskii, Andrei Enumerating tame friezes over \(\mathbb{Z}/n\mathbb{Z}\). arXiv:2410.23400 Preprint, arXiv:2410.23400 [math.CO] (2024). MSC: 05E16 11B57 × Cite Format Result Cite Full Text: arXiv
Corrigan, Chandler C. A large sieve inequality for characters to quadratic moduli. arXiv:2410.05704 Preprint, arXiv:2410.05704 [math.NT] (2024). MSC: 11B57 11L07 11L15 11L40 11M26 11N35 × Cite Format Result Cite Full Text: arXiv OA License
Marklof, Jens; Pollicott, Mark Extreme events for horocycle flows. arXiv:2408.01781 Preprint, arXiv:2408.01781 [math.DS] (2024). MSC: 37D40 37D50 11B57 × Cite Format Result Cite Full Text: arXiv
Sayous, Rafael Gaps in the complex Farey sequence of an imaginary quadratic number field. arXiv:2407.04380 Preprint, arXiv:2407.04380 [math.NT] (2024). MSC: 11B05 11B57 11R11 37A44 60B10 × Cite Format Result Cite Full Text: arXiv OA License
Cheung, Yitwah; Quas, Anthony BCZ map is weakly mixing. arXiv:2403.14976 Preprint, arXiv:2403.14976 [math.DS] (2024). MSC: 37A25 37A17 11B57 × Cite Format Result Cite Full Text: arXiv
Korolëv, Maksim Aleksandrovich A distribution related to Farey series. (Russian. English summary) Zbl 1536.11042 Chebyshevskiĭ Sb. 24, No. 4(90), 137-190 (2023). MSC: 11B57 11N37 11J81 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Cereceda, José Luis Sums of powers of integers and generalized Stirling numbers of the second kind. (English) Zbl 1529.11036 Appl. Math. E-Notes 23, 449-458 (2023). MSC: 11B57 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Anholcer, Marcin; Bosek, Bartłomiej; Grytczuk, Jarosław; Gutowski, Grzegorz; Przybyło, Jakub; Pyzik, Rafał; Zając, Mariusz On a problem of Steinhaus. (English) Zbl 1536.11040 Bull. Lond. Math. Soc. 55, No. 6, 2635-2652 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11B57 11B75 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Jiang, Xing-Wang; Li, Ya-Li On the structure of certain subset of Farey sequence. (English) Zbl 1531.11005 Bull. Korean Math. Soc. 60, No. 4, 915-931 (2023). MSC: 11A05 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Tseng, Jimmy Shrinking target horospherical equidistribution via translated Farey sequences. (English) Zbl 1529.37001 Adv. Math. 432, Article ID 109255, 85 p. (2023). MSC: 37A17 11B57 15A23 22E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balazard, Michel; Martin, Bruno Proof of a conjecture of Kruyswijk and Meijer on the smallest denominator of rational numbers of an interval. (Démonstration d’une conjecture de Kruyswijk et Meijer sur le plus petit dénominateur des nombres rationnels d’un intervalle.) (French. English summary) Zbl 1539.11035 Bull. Sci. Math. 187, Article ID 103305, 22 p. (2023). Reviewer: Georges Grekos (St. Étienne) MSC: 11B57 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gyoda, Yasuaki Cluster duality between Calkin-Wilf tree and Stern-Brocot tree. (English) Zbl 1517.13018 Ito, Yukari (ed.) et al., McKay correspondence, mutation and related topics. Proceedings of the conference on McKay correspondence, mutation and related topics, Tokyo, Japan, July 17 – August 14, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 88, 491-517 (2023). MSC: 13F60 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chen, Huayang; Haynes, Alan Expected value of the smallest denominator in a random interval of fixed radius. (English) Zbl 1528.11061 Int. J. Number Theory 19, No. 6, 1405-1413 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Yali; Wei, Chun; Wen, Shengyou Box-counting dimensions of popcorn subsets. (English) Zbl 1512.11013 J. Math. Anal. Appl. 524, No. 2, Article ID 127088, 10 p. (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B25 11B57 28A75 11N05 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Paulsen, William Calkin-Wilf sequences for irrational numbers. (English) Zbl 1518.11021 Fibonacci Q. 61, No. 1, 51-59 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B57 11A55 11D09 × Cite Format Result Cite Review PDF Full Text: Link
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Safe, Martín D. Lochs-type theorems beyond positive entropy. (English) Zbl 1529.11094 Monatsh. Math. 200, No. 4, 737-779 (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 11K50 11B57 28D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hida, Takanori On Mallows’ variation of the Stern-Brocot tree. (English) Zbl 1523.11042 J. Comb. 14, No. 3, 339-368 (2023). MSC: 11B57 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Short, Ian Classifying \(\mathrm{SL}_2 \)-tilings. (English) Zbl 1504.05300 Trans. Am. Math. Soc. 376, No. 1, 1-38 (2023). MSC: 05E16 05B45 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elizalde, Mauricio; Guevara, Cesar Properties and approximations of fractions associated to Ford circles extracted by inclined lines. arXiv:2312.12539 Preprint, arXiv:2312.12539 [math.NT] (2023). MSC: 11N37 11P21 11B57 52C26 51M15 × Cite Format Result Cite Full Text: arXiv OA License
Abramson, Heather; Chesebro, Eric; Cummins, Vivian; Emlen, Cory; Ke, Kenton; Grady, Ryan Continued fractions and lines across the Stern–Brocot diagram. arXiv:2308.04654 Preprint, arXiv:2308.04654 [math.GT] (2023). MSC: 57M50 11B57 × Cite Format Result Cite Full Text: arXiv OA License
Cereceda, José L. A refinement of Lang’s formula for the sum of powers of integers. arXiv:2301.02141 Preprint, arXiv:2301.02141 [math.NT] (2023). MSC: 11B57 11B73 11B83 05E05 × Cite Format Result Cite Full Text: DOI arXiv OA License
Cordelli, Alessandro Pick’s theorem and Farey’s sequences. (Italian. English summary) Zbl 1543.11024 Mat. Cult. Soc., Riv. Unione Mat. Ital. (1) 7, No. 2, 159-168 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11B57 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Baker, Roger C.; Munsch, Marc; Shparlinski, Igor E. Additive energy and a large sieve inequality for sparse sequences. (English) Zbl 07738299 Mathematika 68, No. 2, 362-399 (2022). Reviewer: Stephan Baier (Hāoṛā) MSC: 11L07 11N13 11D45 11L15 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E. On sparsity of representations of polynomials as linear combinations of exponential functions. (English) Zbl 1547.11092 J. Lond. Math. Soc., II. Ser. 105, No. 4, 2076-2103 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11L07 11A63 11B57 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tóth, Csaba D. Minimum weight Euclidean \((1+\varepsilon)\)-spanners. (English) Zbl 07682428 Bekos, Michael A. (ed.) et al., Graph-theoretic concepts in computer science. 48th international workshop, WG 2022, Tübingen, Germany, June 22–24, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13453, 439-452 (2022). MSC: 68R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Northshield, Sam Some generalizations of a formula of Reznick. (English) Zbl 1534.11027 Fibonacci Q. 60, No. 5, Spec. Iss., 299-315 (2022). Reviewer: Attila Bérczes (Debrecen) MSC: 11B50 11K31 11B57 × Cite Format Result Cite Review PDF Full Text: Link
Calero-Sanz, Jorge; Luque, Bartolo; Lacasa, Lucas Haros graphs: an exotic representation of real numbers. (English) Zbl 1506.11038 J. Complex Netw. 10, No. 5, Article ID cnac043, 50 p. (2022). MSC: 11B75 11B57 05C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banks, William D. On the distribution of reduced fractions with squarefree denominators. (English) Zbl 1516.11082 Acta Arith. 206, No. 1, 1-34 (2022). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M26 11B57 11N56 × 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
Liechty, Karl; Petersen, T. Kyle Monotone subsets in lattices and the Schensted shape of a Sós permutation. (English) Zbl 1508.11067 Comb. Theory 2, No. 2, Paper No. 9, 41 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11H06 11B57 11K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demir, Bilal; Koruoğlu, Özden On parabolic and elliptic elements of the modular group. (English) Zbl 1510.20048 Turk. J. Math. 46, No. 7, 2751-2760 (2022). Reviewer: Nihal Özgür (Izmir) MSC: 20H10 11B57 11F06 × Cite Format Result Cite Review PDF Full Text: DOI
Pethő, Attila Common values of a class of linear recurrences. (English) Zbl 1518.11056 Indag. Math., New Ser. 33, No. 6, 1172-1188 (2022). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11J86 15A15 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boca, Florin P.; Siskaki, Maria A note on the pair correlation of Farey fractions. (English) Zbl 1508.11075 Acta Arith. 205, No. 2, 121-135 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J71 11B57 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Haipeng; Fraser, Jonathan M.; Yu, Han Dimensions of the popcorn graph. (English) Zbl 1512.28006 Proc. Am. Math. Soc. 150, No. 11, 4729-4742 (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lutsko, Christopher Farey sequences for thin groups. (English) Zbl 1498.11063 Int. Math. Res. Not. 2022, No. 15, 11642-11689 (2022). MSC: 11B57 11K55 20H05 20H10 22E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aiylam, Dhroova; Khovanova, Tanya Stern-Brocot sequences from weighted mediants. (English) Zbl 1498.11062 J. Number Theory 238, 313-330 (2022). MSC: 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Miller, Steven J.; Treviño, Enrique On the sum of \(k\)-th powers in terms of earlier sums. (English) Zbl 1505.97010 Coll. Math. J. 53, No. 3, 220-225 (2022). MSC: 97F60 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Lara; Lagarias, Jeffrey C. Partial factorizations of products of binomial coefficients. (English) Zbl 1491.11027 Int. J. Number Theory 18, No. 3, 691-728 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11B65 11B57 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Musgrave, Hans; Zerr, Ryan Infinite series as sums of triangular areas. (English) Zbl 1505.26021 Math. Mag. 95, No. 1, 14-20 (2022). MSC: 26A42 11B57 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Halupczok, Karin; Munsch, Marc Large sieve estimate for multivariate polynomial moduli and applications. (English) Zbl 1505.11109 Monatsh. Math. 197, No. 3, 463-478 (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L07 11N36 11N32 11C08 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akiyama, Shigeki Asymptotic formula for balanced words. (English) Zbl 1492.11137 J. Number Theory 236, 144-159 (2022). Reviewer: Kaisa Matomäki (Turku) MSC: 11N37 11B57 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimberling, Clark Self-containing sequences, fractal sequences, selection functions, and parasequences. (English) Zbl 1489.11044 J. Integer Seq. 25, No. 2, Article 22.2.1, 17 p. (2022). Reviewer: Peter Massopust (München) MSC: 11B83 28A80 × Cite Format Result Cite Review PDF Full Text: Link
Tomás, R. Partial Franel sums. (English) Zbl 1492.11031 J. Integer Seq. 25, No. 1, Article 22.1.5, 13 p. (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11B57 11M26 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Doan, Nhat Minh; Kim, Sang-hyun; Lang, Mong Lung; Tan, Ser Peow Optimal independent generating system for the congruence subgroups \(\Gamma_0(p)\) and \(\Gamma_0(p^2)\). arXiv:2209.13937 Preprint, arXiv:2209.13937 [math.NT] (2022). MSC: 11F06 11B57 30F35 × Cite Format Result Cite Full Text: arXiv
Elzenaar, Alex; Martin, Gaven; Schillewaert, Jeroen The combinatorics of Farey words and their traces. arXiv:2204.08076 Preprint, arXiv:2204.08076 [math.GT] (2022). MSC: 11B37 11B39 11B57 20F36 57K20 32G15 30F40 33C45 41A10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Bonanno, Claudio; Del Vigna, Alessio Representation and coding of rational pairs on a triangular tree and Diophantine approximation in \(\mathbb R^2\). (English) Zbl 1495.11038 Acta Arith. 200, No. 4, 389-427 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B57 11J70 37A44 37E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Decelle, Rémi; Ngo, Phuc; Debled-Rennesson, Isabelle; Mothe, Frédéric; Longuetaud, Fleur Digital straight segment filter for geometric description. (English) Zbl 1484.68275 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 255-268 (2021). MSC: 68U05 11B57 68U10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Wang, Liuquan Farey sequence and Graham’s conjectures. (English) Zbl 1477.11005 J. Number Theory 229, 399-404 (2021). Reviewer: Gennady Bachman (Las Vegas) MSC: 11A05 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simoson, Andrew J. Ford circles strike gold. (English) Zbl 1473.11013 Am. Math. Mon. 128, No. 6, 500-512 (2021). Reviewer: Anton Shutov (Vladimir) MSC: 11A55 11B57 11J70 × Cite Format Result Cite Review PDF Full Text: DOI
Bockting-Conrad, Sarah; Kashina, Yevgenia; Kyle Petersen, T.; Tenner, Bridget Eileen Sós permutations. (English) Zbl 1464.05003 Am. Math. Mon. 128, No. 5, 407-422 (2021). MSC: 05A05 05A15 11K06 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Munsch, Marc A large sieve inequality for power moduli. (English) Zbl 1471.11248 Acta Arith. 197, No. 2, 207-211 (2021). Reviewer: John H. Loxton (Greenwich) MSC: 11N35 11B57 11L03 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heersink, Byron Equidistribution of Farey sequences on horospheres in covers of \(\text{SL}(n+1,\mathbb{Z})\backslash \text{SL}(n+1,\mathbb{R})\) and applications. (English) Zbl 1455.37003 Ergodic Theory Dyn. Syst. 41, No. 2, 471-493 (2021). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A17 37A44 11B57 11K60 11D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arab, Mohammad Creative proofs in combinations. arXiv:2112.08020 Preprint, arXiv:2112.08020 [math.CO] (2021). MSC: 05A15 05A20 05A10 11B57 11P81 × Cite Format Result Cite Full Text: arXiv
Doan, Nhat Minh Ortho-integral surfaces. arXiv:2112.10694 Preprint, arXiv:2112.10694 [math.GT] (2021). MSC: 30F60 11B57 11D09 11G55 51K99 32G15 57K20 52C26 11D25 × Cite Format Result Cite Full Text: arXiv OA License
Abdalaoui, el Houcein el A disproof of \(L^\alpha\) polynomials Rudin conjecture, \(2 \leq \alpha<4.\). arXiv:2110.05486 Preprint, arXiv:2110.05486 [math.CA] (2021). MSC: 37A20 35Q55 37A44 11B25 11B57 × Cite Format Result Cite Full Text: arXiv OA License
Cox, Darrell; Ghosh, Sourangshu; Sultanow, Eldar The Farey Sequence and the Mertens Function. arXiv:2105.12352 Preprint, arXiv:2105.12352 [math.NT] (2021). MSC: 11B57 11A25 11M26 × Cite Format Result Cite Full Text: DOI arXiv OA License
Bause, Falko An efficient brute force approach to fit finite mixture distributions. (English) Zbl 1490.62011 Hermanns, Holger (ed.), Measurement, modelling and evaluation of computing systems. 20th international GI/ITG conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12040, 208-224 (2020). MSC: 62-08 62H30 × Cite Format Result Cite Review PDF Full Text: DOI
Cereceda, José Luis Binary quadratic forms and sums of powers of integers. (English) Zbl 1474.11085 Ann. Math. Inform. 52, 71-84 (2020). MSC: 11D25 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Northshield, Sam Topographs; Conway and otherwise. (English) Zbl 1469.11028 Fibonacci Q. 58, No. 5, 172-189 (2020). MSC: 11B57 05B45 52C15 × Cite Format Result Cite Review PDF Full Text: Link
Federico Elizeche, Edgar; Tripathi, Amitabha A note on a generalization of fundamental gaps in numerical semigroups. (English) Zbl 1461.20011 Integers 20, Paper A40, 8 p. (2020). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 20M14 20M05 11B57 × Cite Format Result Cite Review PDF Full Text: Link
Singerman, David; Strudwick, James The Farey maps modulo \(n\). (English) Zbl 1521.11023 Acta Math. Univ. Comen., New Ser. 89, No. 1, 39-52 (2020). MSC: 11F06 11B57 30F10 05C30 05C10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Surányi, Gergő On Sidon sequences of Farey sequences, square roots and reciprocals. (English) Zbl 1505.11035 Math. Slovaca 70, No. 3, 547-556 (2020). MSC: 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Deepa, S.; Gnanam, A. Extraction of Cantor one-third set from Stern-Brocot sequence. (English) Zbl 1460.11026 Int. J. Math. Comput. Sci. 15, No. 4, 1149-1153 (2020). MSC: 11B57 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Kunik, Matthias New insight into results of Ostrowski and Lang on sums of remainders using Farey sequences. (English) Zbl 1478.11024 Online J. Anal. Comb. 15, Article 11, 23 p. (2020). MSC: 11B57 11M06 11K60 44A15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Braun, Lukas; Hättig, Daniel Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes. (English) Zbl 1469.14007 Rocky Mt. J. Math. 50, No. 3, 881-939 (2020). Reviewer: Milena Wrobel (Oldenburg) MSC: 14B05 14M25 11B57 14R05 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Boca, Florin P.; Radziwiłł, Maksym Limiting distribution of eigenvalues in the large sieve matrix. (English) Zbl 1505.11108 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287-2329 (2020). MSC: 11L07 11B57 11N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zimhoni, Noam A forest of Eisensteinian triangles. (English) Zbl 1481.11033 Am. Math. Mon. 127, No. 7, 629-637 (2020). Reviewer: Victor Wang (Princeton) MSC: 11D09 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haynes, Alan; Measures, Kayleigh Higher moments of distances between consecutive Ford spheres. (English) Zbl 1442.11037 J. Number Theory 212, 88-104 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11B57 11N56 11P21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morier-Genoud, Sophie; Ovsienko, Valentin \(q\)-deformed rationals and \(q\)-continued fractions. (English) Zbl 1434.05023 Forum Math. Sigma 8, Paper No. e13, 55 p. (2020). MSC: 05A30 05A10 11A55 11B57 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Junxian; Tamazyan, Albert; Zaharescu, Alexandru Ducci iterates and similar ordering of visible points in convex regions. (English) Zbl 1473.11044 Int. J. Number Theory 16, No. 1, 1-28 (2020). Reviewer: Emre Alkan (Istanbul) MSC: 11B57 11B99 × Cite Format Result Cite Review PDF Full Text: DOI
Koleda, Denis V. Distribution of real algebraic integers. (English) Zbl 1446.11180 J. Number Theory 210, 333-372 (2020). Reviewer: Michel Waldschmidt (Paris) MSC: 11N45 11R45 11J83 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Xibao; Zhong, Yumin A probabilistic proof of a recursion formula for sums of powers. (English) Zbl 1456.60033 Am. Math. Mon. 127, No. 2, 166-168 (2020). MSC: 60C05 11B37 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Cereceda, José L. Figurate numbers and sums of powers of integers. arXiv:2001.03208 Preprint, arXiv:2001.03208 [math.NT] (2020). MSC: 11B83 11B57 × Cite Format Result Cite Full Text: arXiv OA License
Ding, Pengyong On a variance associated with the distribution of \(r_3(n)\) in arithmetic progressions. arXiv:2010.04319 Preprint, arXiv:2010.04319 [math.NT] (2020). MSC: 11N37 11B57 11P55 × Cite Format Result Cite Full Text: arXiv OA License
Simoson, Andrew J. Exploring continued fractions. From the integers to solar eclipses. (English) Zbl 1496.11009 AMS/MAA Dolciani Mathematical Expositions 53. Providence, RI: MAA Press/American Mathematical Society (AMS) (ISBN 978-1-4704-6128-7/pbk; 978-1-4704-5156-1/ebook). xix, 480 p. (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11A55 11-01 00A09 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Svinin, A. K.; Svinina, S. V. On some generalizations of sum of powers of natural numbers. (English. Russian original) Zbl 1473.11045 Russ. Math. 63, No. 8, 25-37 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 8, 31-44 (2019). MSC: 11B57 05A15 11B65 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuravlev, V. G. The karyon algorithm for expansion in multidimensional continued fractions. (English. Russian original) Zbl 1440.40002 J. Math. Sci., New York 242, No. 4, 487-508 (2019); translation from Zap. Nauchn. Semin. POMI 469, 32-63 (2018). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 40A15 11J70 11A55 11B57 11K50 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Korolëv, M. A.; Ustinov, A. V. Distribution of rational points on the circle of unit radius. (English. Russian original) Zbl 1436.11012 Izv. Math. 83, No. 5, 1008-1049 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 5, 107-148 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A55 11B83 11N60 62E20 97K60 82B20 37N20 37C83 11D79 × Cite Format Result Cite Review PDF Full Text: DOI
Measures, Kayleigh First moment of distances between centres of Ford spheres. (English) Zbl 1479.11043 J. Math. Anal. Appl. 478, No. 2, 1100-1120 (2019). MSC: 11B57 51M99 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mantica, Giorgio; Totik, Vilmos Regularity of Minkowski’s question mark measure, its inverse and a class of IFS invariant measures. (English) Zbl 1423.42048 J. Lond. Math. Soc., II. Ser. 99, No. 3, 707-732 (2019). Reviewer: Christoph Aistleitner (Graz) MSC: 42C05 31A15 11A55 11B57 37D40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lennerstad, Håkan The \(n\)-dimensional Stern-Brocot tree. (English) Zbl 1450.11069 Int. J. Number Theory 15, No. 6, 1219-1236 (2019). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11B57 11B37 05C50 × Cite Format Result Cite Review PDF Full Text: DOI
Bettin, Sandro; Drappeau, Sary; Spiegelhofer, Lukas Statistical distribution of the Stern sequence. (English) Zbl 1453.11031 Comment. Math. Helv. 94, No. 2, 241-271 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11B57 37C30 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mundici, Daniele Triangles in Diophantine approximation. (English) Zbl 1459.11018 J. Number Theory 201, 176-189 (2019). MSC: 11A55 11B57 11Y65 11J70 11K60 14M25 22F05 37A20 37C85 40A15 × Cite Format Result Cite Review PDF Full Text: DOI
Koleda, D. V. On the distribution of real algebraic numbers of equal height. (Russian. English summary) Zbl 1429.11186 Dal’nevost. Mat. Zh. 18, No. 1, 56-70 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11N45 11R04 11J83 11G50 × Cite Format Result Cite Review PDF Full Text: MNR
Prelovskiĭ, Nikolaĭ Nikolaevich Infinite-valued Łukasiewicz logic and Farey sequences. (Russian. English summary) Zbl 1431.03037 Log. Issled. 24, No. 2, 123-128 (2018). MSC: 03B50 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Ledoan, A. H. The discrepancy of Farey series. (English) Zbl 1424.11108 Acta Math. Hung. 156, No. 2, 465-480 (2018). MSC: 11K38 11B57 11N25 × Cite Format Result Cite Review PDF Full Text: DOI
Kunik, Matthias A scaling property of Farey fractions. IV: Mean value formulas. (English) Zbl 1419.11037 Eur. J. Math. 4, No. 4, 1549-1559 (2018). MSC: 11B57 11M06 11N05 44A20 42B30 11K60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuravlev, V. G. Linear-fractional invariance of multidimensional continued fractions. (English. Russian original) Zbl 1411.11069 J. Math. Sci., New York 234, No. 5, 616-639 (2018); translation from Zap. Nauchn. Semin. POMI 458, 42-76 (2017). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11B57 11J68 11K50 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Reiter, Harold; Holshouser, Arthur Generating Stern-Brocot type rational numbers with mediants. (English) Zbl 1444.11019 Missouri J. Math. Sci. 30, No. 1, 93-104 (2018). MSC: 11A55 11B57 × Cite Format Result Cite Review PDF Full Text: Euclid
Boca, Florin P.; Linden, Christopher On Minkowski type question mark functions associated with even or odd continued fractions. (English) Zbl 1465.11042 Monatsh. Math. 187, No. 1, 35-57 (2018). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11A25 26A30 11B57 11B83 37B10 37E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Treviño, Enrique A short proof of a sum of powers formula. (English) Zbl 1392.05009 Am. Math. Mon. 125, No. 7, 659-659 (2018). MSC: 05A15 05A10 11B57 × Cite Format Result Cite Review PDF Full Text: DOI