Zhou, Nian Hong Eventual log-concavity of \(k\)-rank statistics for integer partitions. (English) Zbl 07813868 J. Number Theory 259, 242-272 (2024). MSC: 11P82 05A16 05A17 PDFBibTeX XMLCite \textit{N. H. Zhou}, J. Number Theory 259, 242--272 (2024; Zbl 07813868) Full Text: DOI arXiv
Males, Joshua A note on the equidistribution of 3-colour partitions. (English) Zbl 07803224 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 001, 8 p. (2024). MSC: 11P82 PDFBibTeX XMLCite \textit{J. Males}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 001, 8 p. (2024; Zbl 07803224) Full Text: DOI arXiv
Technau, Marc Remark on the Farey fraction spin chain. (English) Zbl 07757731 Proc. Am. Math. Soc. 152, No. 1, 63-69 (2024). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11C20 11P21 PDFBibTeX XMLCite \textit{M. Technau}, Proc. Am. Math. Soc. 152, No. 1, 63--69 (2024; Zbl 07757731) Full Text: DOI arXiv
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
Baker, Andrew; Males, Joshua Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions. (English) Zbl 07761567 Ann. Comb. 27, No. 4, 769-780 (2023). Reviewer: Stephan Wagner (Uppsala) MSC: 11P82 05A17 11P81 PDFBibTeX XMLCite \textit{A. Baker} and \textit{J. Males}, Ann. Comb. 27, No. 4, 769--780 (2023; Zbl 07761567) Full Text: DOI arXiv
Ballantine, Cristina; Burson, Hannah E.; Craig, William; Folsom, Amanda; Wen, Boya Hook length biases and general linear partition inequalities. (English) Zbl 07751283 Res. Math. Sci. 10, No. 4, Paper No. 41, 36 p. (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 05A17 05A15 05A19 11P83 PDFBibTeX XMLCite \textit{C. Ballantine} et al., Res. Math. Sci. 10, No. 4, Paper No. 41, 36 p. (2023; Zbl 07751283) Full Text: DOI arXiv
Andrade, J. C.; Best, C. G. Random matrix theory and moments of moments of \(L\)-functions. (English) Zbl 1525.60017 Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023). Reviewer: Weiping Li (Guanghan) MSC: 60B20 11M06 11M50 PDFBibTeX XMLCite \textit{J. C. Andrade} and \textit{C. G. Best}, Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023; Zbl 1525.60017) Full Text: DOI arXiv
Johnston, Daniel R.; Males, Joshua Exact formulae and Turán inequalities for Vafa-Witten invariants of \(K3\) surfaces. (English) Zbl 07738150 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 845-861 (2023). Reviewer: Zili Zhang (Shanghai) MSC: 11F12 11F23 PDFBibTeX XMLCite \textit{D. R. Johnston} and \textit{J. Males}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 845--861 (2023; Zbl 07738150) Full Text: DOI arXiv
Banerjee, Koustav; Paule, Peter; Radu, Cristian-Silviu; Zeng, WenHuan New inequalities for \(p(n)\) and \(\log p(n)\). (English) Zbl 1527.11076 Ramanujan J. 61, No. 4, 1295-1338 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A20 PDFBibTeX XMLCite \textit{K. Banerjee} et al., Ramanujan J. 61, No. 4, 1295--1338 (2023; Zbl 1527.11076) Full Text: DOI
Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan; Osburn, Robert Asymptotics and sign patterns for coefficients in expansions of Habiro elements. (English) Zbl 07711369 Math. Z. 304, No. 4, Paper No. 57, 17 p. (2023). MSC: 05A16 05A19 11B83 13B35 33D05 57K16 PDFBibTeX XMLCite \textit{A. Goswami} et al., Math. Z. 304, No. 4, Paper No. 57, 17 p. (2023; Zbl 07711369) Full Text: DOI arXiv
Hilberdink, T.; Pushnitski, A. Spectral asymptotics for a family of LCM matrices. (English) Zbl 07709469 St. Petersbg. Math. J. 34, No. 3, 463-481 (2023) and Algebra Anal. 34, No. 3, 207-231 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 11C20 PDFBibTeX XMLCite \textit{T. Hilberdink} and \textit{A. Pushnitski}, St. Petersbg. Math. J. 34, No. 3, 463--481 (2023; Zbl 07709469) Full Text: DOI arXiv
Schlosser, Michael J.; Zhou, Nian Hong On the infinite Borwein product raised to a positive real power. (English) Zbl 07695117 Ramanujan J. 61, No. 2, 515-543 (2023). MSC: 11P55 11F03 11F30 26D20 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{N. H. Zhou}, Ramanujan J. 61, No. 2, 515--543 (2023; Zbl 07695117) Full Text: DOI arXiv
Jackson, Faye; Otgonbayar, Misheel Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. (English) Zbl 1511.05013 J. Number Theory 248, 310-342 (2023). MSC: 05A17 11P82 11P81 PDFBibTeX XMLCite \textit{F. Jackson} and \textit{M. Otgonbayar}, J. Number Theory 248, 310--342 (2023; Zbl 1511.05013) Full Text: DOI arXiv
Wei, Chuanan On two double series for \(\pi\) and their \(q\)-analogues. (English) Zbl 07663052 Ramanujan J. 60, No. 3, 615-625 (2023). MSC: 33D15 33D05 33C20 11A07 11B65 34M30 05A30 PDFBibTeX XMLCite \textit{C. Wei}, Ramanujan J. 60, No. 3, 615--625 (2023; Zbl 07663052) Full Text: DOI
Rahm, Rob Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function. (English) Zbl 1510.35124 Concr. Oper. 10, Article ID conop-2022-0139, 8 p. (2023). MSC: 35J10 35P20 11E45 PDFBibTeX XMLCite \textit{R. Rahm}, Concr. Oper. 10, Article ID conop-2022--0139, 8 p. (2023; Zbl 1510.35124) Full Text: DOI arXiv
Björklund, Michael; Gorodnik, Alexander Poisson approximation and Weibull asymptotics in the geometry of numbers. (English) Zbl 1526.11035 Trans. Am. Math. Soc. 376, No. 3, 2155-2180 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11H06 37A50 37A44 PDFBibTeX XMLCite \textit{M. Björklund} and \textit{A. Gorodnik}, Trans. Am. Math. Soc. 376, No. 3, 2155--2180 (2023; Zbl 1526.11035) Full Text: DOI arXiv
Stević, Stevo On integer parts of the reciprocal remainders of some sums. (English) Zbl 1509.41016 J. Inequal. Appl. 2022, Paper No. 139, 17 p. (2022). MSC: 41A80 11M06 PDFBibTeX XMLCite \textit{S. Stević}, J. Inequal. Appl. 2022, Paper No. 139, 17 p. (2022; Zbl 1509.41016) Full Text: DOI
Chernyshev, V. L.; Hilberdink, T. W.; Minenkov, D. S.; Nazaikinskii, V. E. Restricted partitions: the polynomial case. (English. Russian original) Zbl 1520.11085 Funct. Anal. Appl. 56, No. 4, 299-309 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 80-92 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11B75 05C80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Funct. Anal. Appl. 56, No. 4, 299--309 (2022; Zbl 1520.11085); translation from Funkts. Anal. Prilozh. 56, No 4, 80--92 (2022) Full Text: DOI
Baril, Jean-Luc; Kirgizov, Sergey; Vajnovszki, Vincent Asymptotic bit frequency in Fibonacci words. (English) Zbl 07614092 PU.M.A., Pure Math. Appl. 30, No. 1, 23-30 (2022). Reviewer: Stefano Capparelli (Roma) MSC: 05A16 05A15 11B39 68R15 PDFBibTeX XMLCite \textit{J.-L. Baril} et al., PU.M.A., Pure Math. Appl. 30, No. 1, 23--30 (2022; Zbl 07614092) Full Text: DOI arXiv
Bridges, Walter; Franke, Johann; Garnowski, Taylor Asymptotics for the twisted eta-product and applications to sign changes in partitions. (English) Zbl 1504.11109 Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11P83 PDFBibTeX XMLCite \textit{W. Bridges} et al., Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022; Zbl 1504.11109) Full Text: DOI arXiv
Wang, Liuquan Sign changes of coefficients of powers of the infinite Borwein product. (English) Zbl 1523.11181 Adv. Appl. Math. 141, Article ID 102405, 31 p. (2022). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P55 11F03 11F30 26D15 26D20 PDFBibTeX XMLCite \textit{L. Wang}, Adv. Appl. Math. 141, Article ID 102405, 31 p. (2022; Zbl 1523.11181) Full Text: DOI arXiv
Craig, William On the number of parts in congruence classes for partitions into distinct parts. (English) Zbl 1505.11135 Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022). Reviewer: Stephan Wagner (Uppsala) MSC: 11P82 05A17 11P81 PDFBibTeX XMLCite \textit{W. Craig}, Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022; Zbl 1505.11135) Full Text: DOI arXiv
Ciolan, Alexandru Inequalities between overpartition ranks for all moduli. (English) Zbl 1498.11208 Ramanujan J. 58, No. 2, 463-489 (2022). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 11P55 PDFBibTeX XMLCite \textit{A. Ciolan}, Ramanujan J. 58, No. 2, 463--489 (2022; Zbl 1498.11208) Full Text: DOI arXiv
Ramacher, Pablo; Wakatsuki, Satoshi Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients. (English) Zbl 07537678 Adv. Math. 404, Part A, Article ID 108372, 47 p. (2022). MSC: 11F12 58J40 PDFBibTeX XMLCite \textit{P. Ramacher} and \textit{S. Wakatsuki}, Adv. Math. 404, Part A, Article ID 108372, 47 p. (2022; Zbl 07537678) Full Text: DOI arXiv
Assiotis, Theodoros On the moments of the partition function of the \(C\beta E\) field. (English) Zbl 1487.15042 J. Stat. Phys. 187, No. 2, Paper No. 14, 22 p. (2022). MSC: 15B52 60B20 60G70 05E05 05B20 11M50 33C47 47A57 PDFBibTeX XMLCite \textit{T. Assiotis}, J. Stat. Phys. 187, No. 2, Paper No. 14, 22 p. (2022; Zbl 1487.15042) Full Text: DOI arXiv
Liu, Zhi-Guo; Zhou, Nian Hong Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions. (English) Zbl 1502.11050 Ramanujan J. 57, No. 3, 1085-1123 (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11F27 11F30 11P82 05A17 PDFBibTeX XMLCite \textit{Z.-G. Liu} and \textit{N. H. Zhou}, Ramanujan J. 57, No. 3, 1085--1123 (2022; Zbl 1502.11050) Full Text: DOI arXiv
Blecher, Aubrey; Knopfmacher, Arnold; Mansour, Toufik Alphabetic points in restricted growth functions. (English) Zbl 1481.05013 Discrete Appl. Math. 309, 130-137 (2022). MSC: 05A18 05A15 11B73 PDFBibTeX XMLCite \textit{A. Blecher} et al., Discrete Appl. Math. 309, 130--137 (2022; Zbl 1481.05013) Full Text: DOI
Fokas, Athanassios S.; Lenells, Jonatan On the asymptotics to all orders of the Riemann zeta function and of a two-parameter generalization of the Riemann zeta function. (English) Zbl 1498.11005 Memoirs of the American Mathematical Society 1351. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5098-4/pbk; 978-1-4704-7017-3/ebook). vii, 114 p. (2022). Reviewer: Michael Th. Rassias (Zürich) MSC: 11-02 11M06 30E15 33E20 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{J. Lenells}, On the asymptotics to all orders of the Riemann zeta function and of a two-parameter generalization of the Riemann zeta function. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1498.11005) Full Text: DOI arXiv
Çelik, Şermin Çam; Göral, Haydar A note on points on algebraic sets. (English) Zbl 1488.13065 Hacet. J. Math. Stat. 50, No. 3, 821-824 (2021). MSC: 13G05 12E05 11C08 PDFBibTeX XMLCite \textit{Ş. Ç. Çelik} and \textit{H. Göral}, Hacet. J. Math. Stat. 50, No. 3, 821--824 (2021; Zbl 1488.13065) Full Text: DOI
Zhou, Nian Hong; Sun, Yalin Counting the number of solutions to certain infinite Diophantine equations. (English) Zbl 1497.11078 Taiwanese J. Math. 25, No. 2, 223-232 (2021). MSC: 11D45 11P82 PDFBibTeX XMLCite \textit{N. H. Zhou} and \textit{Y. Sun}, Taiwanese J. Math. 25, No. 2, 223--232 (2021; Zbl 1497.11078) Full Text: DOI arXiv
Zhou, Nian Hong Note on partitions into polynomials with number of parts in an arithmetic progression. (English) Zbl 1478.11120 Int. J. Number Theory 17, No. 9, 1951-1963 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11P83 05A16 PDFBibTeX XMLCite \textit{N. H. Zhou}, Int. J. Number Theory 17, No. 9, 1951--1963 (2021; Zbl 1478.11120) Full Text: DOI arXiv
Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl The asymptotic distribution of the rank for unimodal sequences. (English) Zbl 1480.11129 J. Number Theory 229, 444-462 (2021). MSC: 11P82 11F37 60F05 PDFBibTeX XMLCite \textit{K. Bringmann} et al., J. Number Theory 229, 444--462 (2021; Zbl 1480.11129) Full Text: DOI arXiv
Chern, Shane Asymptotics for the Taylor coefficients of certain infinite products. (English) Zbl 1482.11136 Ramanujan J. 55, No. 3, 987-1014 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 PDFBibTeX XMLCite \textit{S. Chern}, Ramanujan J. 55, No. 3, 987--1014 (2021; Zbl 1482.11136) Full Text: DOI arXiv
Kim, Byungchan; Kim, Eunmi; Lovejoy, Jeremy On weighted overpartitions related to some \(q\)-series in Ramanujan’s lost notebook. (English) Zbl 1470.11262 Int. J. Number Theory 17, No. 3, 603-619 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 33D15 PDFBibTeX XMLCite \textit{B. Kim} et al., Int. J. Number Theory 17, No. 3, 603--619 (2021; Zbl 1470.11262) Full Text: DOI
Males, Joshua Asymptotic equidistribution and convexity for partition ranks. (English) Zbl 1468.11214 Ramanujan J. 54, No. 2, 397-413 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 PDFBibTeX XMLCite \textit{J. Males}, Ramanujan J. 54, No. 2, 397--413 (2021; Zbl 1468.11214) Full Text: DOI arXiv
McNew, Nathan Counting primitive subsets and other statistics of the divisor graph of \(\{1,2,\dots,n\}\). (English) Zbl 1473.11059 Eur. J. Comb. 92, Article ID 103237, 20 p. (2021). Reviewer: Paul Melotti (Paris) MSC: 11B75 11N37 PDFBibTeX XMLCite \textit{N. McNew}, Eur. J. Comb. 92, Article ID 103237, 20 p. (2021; Zbl 1473.11059) Full Text: DOI arXiv
Fang, Wenjie; Hwang, Hsien-Kuei; Kang, Mihyun Phase transitions from \(\exp( n^{1/2})\) to \(\exp(n^{2/3})\) in the asymptotics of banded plane partitions. (English) Zbl 1458.05023 J. Comb. Theory, Ser. A 178, Article ID 105363, 42 p. (2021). Reviewer: Dazhao Tang (Chongqing) MSC: 05A17 11P82 05A16 PDFBibTeX XMLCite \textit{W. Fang} et al., J. Comb. Theory, Ser. A 178, Article ID 105363, 42 p. (2021; Zbl 1458.05023) Full Text: DOI arXiv
Khera, Jessica; Lundberg, Erik; Melczer, Stephen Asymptotic enumeration of lonesum matrices. (English) Zbl 1457.05010 Adv. Appl. Math. 123, Article ID 102118, 18 p. (2021). MSC: 05A16 05A15 05A05 62R01 11B68 PDFBibTeX XMLCite \textit{J. Khera} et al., Adv. Appl. Math. 123, Article ID 102118, 18 p. (2021; Zbl 1457.05010) Full Text: DOI arXiv
Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E. Asymptotics of the number of restricted partitions. (English) Zbl 1469.11387 Russ. J. Math. Phys. 27, No. 4, 456-468 (2020). MSC: 11N45 11P81 05A17 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Russ. J. Math. Phys. 27, No. 4, 456--468 (2020; Zbl 1469.11387) Full Text: DOI
Fuchs, Michael; Kao, Louis; Wu, Wan-Zhen On binomial and Poisson sums arising from the displacement of randomly placed sensors. (English) Zbl 1461.05011 Taiwanese J. Math. 24, No. 6, 1353-1382 (2020). MSC: 05A16 05A15 05A10 11B65 60C05 68W40 PDFBibTeX XMLCite \textit{M. Fuchs} et al., Taiwanese J. Math. 24, No. 6, 1353--1382 (2020; Zbl 1461.05011) Full Text: DOI Euclid
Sanna, C. A note on product sets of random sets. (English) Zbl 1474.11164 Acta Math. Hung. 162, No. 1, 76-83 (2020). MSC: 11N37 11N99 PDFBibTeX XMLCite \textit{C. Sanna}, Acta Math. Hung. 162, No. 1, 76--83 (2020; Zbl 1474.11164) Full Text: DOI arXiv
Kelmer, Dubi; Yu, Shucheng Values of random polynomials in shrinking targets. (English) Zbl 1477.11123 Trans. Am. Math. Soc. 373, No. 12, 8677-8695 (2020). Reviewer: Matthias Schymura (Cottbus) MSC: 11H60 11P21 PDFBibTeX XMLCite \textit{D. Kelmer} and \textit{S. Yu}, Trans. Am. Math. Soc. 373, No. 12, 8677--8695 (2020; Zbl 1477.11123) Full Text: DOI arXiv
Coons, Michael Degree-one Mahler functions: asymptotics, applications and speculations. (English) Zbl 1461.11109 Bull. Aust. Math. Soc. 102, No. 3, 399-409 (2020). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J91 11B85 30B10 68R15 PDFBibTeX XMLCite \textit{M. Coons}, Bull. Aust. Math. Soc. 102, No. 3, 399--409 (2020; Zbl 1461.11109) Full Text: DOI
Sobol, Ilya M.; Shukhman, Boris V. QMC integration errors and quasi-asymptotics. (English) Zbl 1454.65005 Monte Carlo Methods Appl. 26, No. 3, 171-176 (2020). MSC: 65C05 11K45 65D30 PDFBibTeX XMLCite \textit{I. M. Sobol} and \textit{B. V. Shukhman}, Monte Carlo Methods Appl. 26, No. 3, 171--176 (2020; Zbl 1454.65005) Full Text: DOI
Gerhold, Stefan; Hubalek, Friedrich; Tomovski, Živorad Asymptotics of some generalized Mathieu series. (English) Zbl 1455.33015 Math. Scand. 126, No. 3, 424-450 (2020). Reviewer: István Mező (Nanjing) MSC: 33E20 11M41 44A15 PDFBibTeX XMLCite \textit{S. Gerhold} et al., Math. Scand. 126, No. 3, 424--450 (2020; Zbl 1455.33015) Full Text: DOI arXiv
Hančl Jr., Jaroslav Complementary Schur asymptotics for partitions. (English) Zbl 1448.05011 Discrete Math. 343, No. 12, Article ID 112110, 7 p. (2020). MSC: 05A17 11P81 05A15 PDFBibTeX XMLCite \textit{J. Hančl Jr.}, Discrete Math. 343, No. 12, Article ID 112110, 7 p. (2020; Zbl 1448.05011) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. Cotangent sums related to the Riemann hypothesis for various shifts of the argument. (English) Zbl 1448.33002 Can. Math. Bull. 63, No. 3, 522-535 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33B10 11M06 28A25 41A60 60E10 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Can. Math. Bull. 63, No. 3, 522--535 (2020; Zbl 1448.33002) Full Text: DOI arXiv
Zhou, Nian Hong Uniform asymptotic formulas for restricted bipartite partitions. (English) Zbl 1452.11123 Bull. Aust. Math. Soc. 102, No. 2, 217-225 (2020). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 05A16 05A17 PDFBibTeX XMLCite \textit{N. H. Zhou}, Bull. Aust. Math. Soc. 102, No. 2, 217--225 (2020; Zbl 1452.11123) Full Text: DOI arXiv
Deninger, Christopher \(p\)-adic limits of renormalized logarithmic Euler characteristics. (English) Zbl 1471.11175 Groups Geom. Dyn. 14, No. 2, 427-467 (2020). Reviewer: Jean Raimbault (Marseille) MSC: 11F75 19B28 20G10 20E26 PDFBibTeX XMLCite \textit{C. Deninger}, Groups Geom. Dyn. 14, No. 2, 427--467 (2020; Zbl 1471.11175) Full Text: DOI arXiv
O’Sullivan, Cormac Rademacher’s conjecture and expansions at roots of unity of products generating restricted partitions. (English) Zbl 1505.11136 J. Number Theory 216, 335-379 (2020). MSC: 11P82 41A60 PDFBibTeX XMLCite \textit{C. O'Sullivan}, J. Number Theory 216, 335--379 (2020; Zbl 1505.11136) Full Text: DOI arXiv
Lagacé, Jean Eigenvalue optimisation on flat tori and lattice points in anisotropically expanding domains. (English) Zbl 1448.58026 Can. J. Math. 72, No. 4, 967-987 (2020). MSC: 58J50 11H06 35P15 35P20 35R01 PDFBibTeX XMLCite \textit{J. Lagacé}, Can. J. Math. 72, No. 4, 967--987 (2020; Zbl 1448.58026) Full Text: DOI arXiv
Baustian, Falko; Bobkov, Vladimir On asymptotic behavior of Dirichlet inverse. (English) Zbl 1457.11010 Int. J. Number Theory 16, No. 6, 1337-1354 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11N56 05A16 05A17 PDFBibTeX XMLCite \textit{F. Baustian} and \textit{V. Bobkov}, Int. J. Number Theory 16, No. 6, 1337--1354 (2020; Zbl 1457.11010) Full Text: DOI arXiv
Dyson, Freeman J.; Frankel, Norman E.; Guttmann, Anthony J. SanD primes and numbers. (English) Zbl 1508.11004 J. Integer Seq. 23, No. 3, Article 20.3.4, 20 p. (2020). MSC: 11A41 11A63 11Y55 11Y60 PDFBibTeX XMLCite \textit{F. J. Dyson} et al., J. Integer Seq. 23, No. 3, Article 20.3.4, 20 p. (2020; Zbl 1508.11004) Full Text: arXiv Link
Jennings-Shaffer, Chris; Reihill, Dillon Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts. (English) Zbl 1445.11117 Ramanujan J. 52, No. 1, 175-242 (2020). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 11P81 PDFBibTeX XMLCite \textit{C. Jennings-Shaffer} and \textit{D. Reihill}, Ramanujan J. 52, No. 1, 175--242 (2020; Zbl 1445.11117) Full Text: DOI arXiv
Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander A shifted sum for the congruent number problem. (English) Zbl 1475.11173 Ramanujan J. 51, No. 2, 267-274 (2020). Reviewer: Lee Troupe (Macon) MSC: 11N37 11G05 PDFBibTeX XMLCite \textit{T. A. Hulse} et al., Ramanujan J. 51, No. 2, 267--274 (2020; Zbl 1475.11173) Full Text: DOI arXiv
Beckwith, Olivia Class number divisibility for imaginary quadratic fields. (English) Zbl 1448.11200 Res. Number Theory 6, No. 1, Paper No. 13, 12 p. (2020). Reviewer: Ayberk Zeytin (Istanbul) MSC: 11R29 11G05 11G40 PDFBibTeX XMLCite \textit{O. Beckwith}, Res. Number Theory 6, No. 1, Paper No. 13, 12 p. (2020; Zbl 1448.11200) Full Text: DOI arXiv
Ciolan, Alexandru Asymptotics and inequalities for partitions into squares. (English) Zbl 1457.11141 Int. J. Number Theory 16, No. 1, 121-143 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 11P83 PDFBibTeX XMLCite \textit{A. Ciolan}, Int. J. Number Theory 16, No. 1, 121--143 (2020; Zbl 1457.11141) Full Text: DOI arXiv
Mező, István Combinatorics and number theory of counting sequences. (English) Zbl 1445.05001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-138-56485-5/hbk; 978-1-032-47535-6/pbk; 978-1-315-12265-6/ebook). xvii, 479 p. (2020). Reviewer: Seema Thakran (Gurgaon) MSC: 05-01 11-01 05A15 05A16 05A17 05A18 05A19 05A20 05A05 05A10 11B65 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{I. Mező}, Combinatorics and number theory of counting sequences. Boca Raton, FL: CRC Press (2020; Zbl 1445.05001) Full Text: DOI
Fokas, A. S. A novel approach to the Lindelöf hypothesis. (English) Zbl 1490.11085 Trans. Math. Appl. 3, Article ID tnz006, 49 p. (2019). MSC: 11M26 30D15 PDFBibTeX XMLCite \textit{A. S. Fokas}, Trans. Math. Appl. 3, Article ID tnz006, 49 p. (2019; Zbl 1490.11085) Full Text: DOI arXiv
Zudilin, Wadim Congruences for \(q\)-binomial coefficients. (English) Zbl 1431.11032 Ann. Comb. 23, No. 3-4, 1123-1135 (2019). MSC: 11B65 05A10 11A07 PDFBibTeX XMLCite \textit{W. Zudilin}, Ann. Comb. 23, No. 3--4, 1123--1135 (2019; Zbl 1431.11032) Full Text: DOI arXiv
Ashton, A. C. L. Power means of the Hurwitz zeta function over large intervals. (English) Zbl 1449.11090 J. Class. Anal. 15, No. 1, 41-59 (2019). MSC: 11M35 34E10 PDFBibTeX XMLCite \textit{A. C. L. Ashton}, J. Class. Anal. 15, No. 1, 41--59 (2019; Zbl 1449.11090) Full Text: DOI
Chern, Shane Unlimited parity alternating partitions. (English) Zbl 1427.11104 Quaest. Math. 42, No. 10, 1345-1352 (2019). MSC: 11P82 05A17 11G05 PDFBibTeX XMLCite \textit{S. Chern}, Quaest. Math. 42, No. 10, 1345--1352 (2019; Zbl 1427.11104) Full Text: DOI arXiv
Brent, Richard P. On the accuracy of asymptotic approximations to the log-gamma and Riemann-Siegel theta functions. (English) Zbl 1436.11106 J. Aust. Math. Soc. 107, No. 3, 319-337 (2019). Reviewer: István Mező (Debrecen) MSC: 11M06 33B15 33B99 65D20 PDFBibTeX XMLCite \textit{R. P. Brent}, J. Aust. Math. Soc. 107, No. 3, 319--337 (2019; Zbl 1436.11106) Full Text: DOI arXiv
Koukoulopoulos, Dimitris The distribution of prime numbers. (English) Zbl 1468.11001 Graduate Studies in Mathematics 203. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4754-0/hbk; 978-1-4704-5420-3/ebook). xii, 356 p. (2019). Reviewer: Michael Th. Rassias (Zürich) MSC: 11-01 11N05 11Mxx PDFBibTeX XMLCite \textit{D. Koukoulopoulos}, The distribution of prime numbers. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1468.11001) Full Text: DOI
Goulden, I. P.; Granville, Andrew; Richmond, L. Bruce; Shallit, Jeffrey Natural exact covering systems and the reversion of the Möbius series. (English) Zbl 1427.05022 Ramanujan J. 50, No. 1, 211-235 (2019). MSC: 05A16 11A07 11A25 11B25 11N37 PDFBibTeX XMLCite \textit{I. P. Goulden} et al., Ramanujan J. 50, No. 1, 211--235 (2019; Zbl 1427.05022) Full Text: DOI arXiv
Raimbault, Jean Asymptotics of analytic torsion for hyperbolic three-manifolds. (English) Zbl 1433.58028 Comment. Math. Helv. 94, No. 3, 459-531 (2019). Reviewer: Gabor Etesi (Budapest) MSC: 58J52 58J37 11F75 11F72 22E40 57M10 PDFBibTeX XMLCite \textit{J. Raimbault}, Comment. Math. Helv. 94, No. 3, 459--531 (2019; Zbl 1433.58028) Full Text: DOI arXiv
Bony, Jean-François; Espinoza, Nicolás; Raikov, Georgi Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields. (English) Zbl 1423.35261 Publ. Res. Inst. Math. Sci. 55, No. 3, 453-487 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 81Q05 81Q10 35J10 47N50 11F66 PDFBibTeX XMLCite \textit{J.-F. Bony} et al., Publ. Res. Inst. Math. Sci. 55, No. 3, 453--487 (2019; Zbl 1423.35261) Full Text: DOI arXiv
Ciolan, Alexandru Ranks of overpartitions: asymptotics and inequalities. (English) Zbl 1443.11220 J. Math. Anal. Appl. 480, No. 2, Article ID 123444, 28 p. (2019). Reviewer: Mihály Szalay (Budapest) MSC: 11P83 05A17 11P82 PDFBibTeX XMLCite \textit{A. Ciolan}, J. Math. Anal. Appl. 480, No. 2, Article ID 123444, 28 p. (2019; Zbl 1443.11220) Full Text: DOI arXiv
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun Vector-valued higher depth quantum modular forms and higher Mordell integrals. (English) Zbl 1470.11096 J. Math. Anal. Appl. 480, No. 2, Article ID 123397, 22 p. (2019). MSC: 11F37 11F22 11F27 PDFBibTeX XMLCite \textit{K. Bringmann} et al., J. Math. Anal. Appl. 480, No. 2, Article ID 123397, 22 p. (2019; Zbl 1470.11096) Full Text: DOI arXiv
Zhou, Nian Hong On the distribution of the rank statistic for strongly concave compositions. (English) Zbl 1454.11184 Bull. Aust. Math. Soc. 100, No. 2, 230-238 (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 05A16 05A17 PDFBibTeX XMLCite \textit{N. H. Zhou}, Bull. Aust. Math. Soc. 100, No. 2, 230--238 (2019; Zbl 1454.11184) Full Text: DOI arXiv
Chern, Shane; Tang, Dazhao; Wang, Liuquan Some inequalities for Garvan’s bicrank function of 2-colored partitions. (English) Zbl 1419.05023 Acta Arith. 190, No. 2, 171-191 (2019). MSC: 11P82 05A17 11P55 11P83 PDFBibTeX XMLCite \textit{S. Chern} et al., Acta Arith. 190, No. 2, 171--191 (2019; Zbl 1419.05023) Full Text: DOI arXiv
Chern, Shane A further look at the truncated pentagonal number theorem. (English) Zbl 1455.11134 Acta Arith. 189, No. 4, 397-403 (2019). Reviewer: Dazhao Tang (Chongqing) MSC: 11P82 05A17 PDFBibTeX XMLCite \textit{S. Chern}, Acta Arith. 189, No. 4, 397--403 (2019; Zbl 1455.11134) Full Text: DOI arXiv
Bringmann, Kathrin; Jennings-Shaffer, Chris Unimodal sequence generating functions arising from partition ranks. (English) Zbl 1416.05016 Res. Number Theory 5, No. 3, Paper No. 25, 17 p. (2019). MSC: 05A15 05A16 05A17 11F03 11P81 11P82 PDFBibTeX XMLCite \textit{K. Bringmann} and \textit{C. Jennings-Shaffer}, Res. Number Theory 5, No. 3, Paper No. 25, 17 p. (2019; Zbl 1416.05016) Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim A \(q\)-microscope for supercongruences. (English) Zbl 1464.11028 Adv. Math. 346, 329-358 (2019). MSC: 11B65 11A07 11Y60 33C20 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, Adv. Math. 346, 329--358 (2019; Zbl 1464.11028) Full Text: DOI arXiv
Chern, Shane Asymptotics for the Fourier coefficients of eta-quotients. (English) Zbl 1459.11200 J. Number Theory 199, 168-191 (2019). MSC: 11P55 11P82 11F30 PDFBibTeX XMLCite \textit{S. Chern}, J. Number Theory 199, 168--191 (2019; Zbl 1459.11200) Full Text: DOI arXiv
O’Sullivan, Cormac Revisiting the saddle-point method of Perron. (English) Zbl 1410.41045 Pac. J. Math. 298, No. 1, 157-199 (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 41A60 05A17 11P82 PDFBibTeX XMLCite \textit{C. O'Sullivan}, Pac. J. Math. 298, No. 1, 157--199 (2019; Zbl 1410.41045) Full Text: DOI arXiv
Watt, Nigel On eigenfunctions of the kernel \(\frac{1}{2} + \lfloor \frac{1}{xy} \rfloor - \frac{1}{xy}\). arXiv:1912.01716 Preprint, arXiv:1912.01716 [math.NT] (2019). MSC: 33E30 45M05 47B35 11M06 BibTeX Cite \textit{N. Watt}, ``On eigenfunctions of the kernel $\frac{1}{2} + \lfloor \frac{1}{xy} \rfloor - \frac{1}{xy}$'', Preprint, arXiv:1912.01716 [math.NT] (2019) Full Text: arXiv OA License
Garbin, Daniel; Jorgenson, Jay Spectral asymptotics on sequences of elliptically degenerating Riemann surfaces. (English) Zbl 1444.58012 Enseign. Math. (2) 64, No. 1-2, 161-206 (2018). MSC: 58J50 11F72 11M36 58J35 58J37 PDFBibTeX XMLCite \textit{D. Garbin} and \textit{J. Jorgenson}, Enseign. Math. (2) 64, No. 1--2, 161--206 (2018; Zbl 1444.58012) Full Text: DOI arXiv
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Typical shape of elements in an arithmetical semigroup with exponentially growing prime counting function and deviations from the Bose-Einstein distribution. (English) Zbl 1439.11260 Math. Notes 104, No. 6, 939-942 (2018). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Math. Notes 104, No. 6, 939--942 (2018; Zbl 1439.11260) Full Text: DOI
O’Sullivan, Cormac Partitions and Sylvester waves. (English) Zbl 1454.11183 Ramanujan J. 47, No. 2, 339-381 (2018). MSC: 11P82 41A60 PDFBibTeX XMLCite \textit{C. O'Sullivan}, Ramanujan J. 47, No. 2, 339--381 (2018; Zbl 1454.11183) Full Text: DOI arXiv
Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru Partitions into \(k\)th powers of terms in an arithmetic progression. (English) Zbl 1412.11129 Math. Z. 290, No. 3-4, 1277-1307 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 11N37 11P55 11P83 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Math. Z. 290, No. 3--4, 1277--1307 (2018; Zbl 1412.11129) Full Text: DOI
Spiegelhofer, Lukas; Wallner, Michael Divisibility of binomial coefficients by powers of two. (English) Zbl 1444.11038 J. Number Theory 192, 221-239 (2018). MSC: 11B65 05A16 11A63 11B50 60F99 PDFBibTeX XMLCite \textit{L. Spiegelhofer} and \textit{M. Wallner}, J. Number Theory 192, 221--239 (2018; Zbl 1444.11038) Full Text: DOI arXiv
Harnad, J; Ortmann, Janosch Asymptotics of quantum weighted Hurwitz numbers. (English) Zbl 1397.82048 J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018). MSC: 82D05 82B30 11M35 37K10 PDFBibTeX XMLCite \textit{J Harnad} and \textit{J. Ortmann}, J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018; Zbl 1397.82048) Full Text: DOI arXiv
Kim, Eunmi On a sign pattern for the crank function of cubic partition pairs. (English) Zbl 1440.11190 J. Number Theory 190, 229-240 (2018). MSC: 11P55 11P82 11P83 PDFBibTeX XMLCite \textit{E. Kim}, J. Number Theory 190, 229--240 (2018; Zbl 1440.11190) Full Text: DOI
Hou, Elaine; Jagadeesan, Meena Dyson’s partition ranks and their multiplicative extensions. (English) Zbl 1459.11206 Ramanujan J. 45, No. 3, 817-839 (2018). Reviewer: Emil Alexandru Ciolan (Bonn) MSC: 11P83 11P82 05A17 PDFBibTeX XMLCite \textit{E. Hou} and \textit{M. Jagadeesan}, Ramanujan J. 45, No. 3, 817--839 (2018; Zbl 1459.11206) Full Text: DOI arXiv
Rassias, Michael Th. From a cotangent sum to a generalized totient function. (English) Zbl 1499.33002 Appl. Anal. Discrete Math. 11, No. 2, 369-385 (2017). MSC: 33B10 11L03 11N37 PDFBibTeX XMLCite \textit{M. Th. Rassias}, Appl. Anal. Discrete Math. 11, No. 2, 369--385 (2017; Zbl 1499.33002) Full Text: DOI arXiv
Lelechenko, A. V. Exponential and infinitary divisors. (English. Ukrainian original) Zbl 1450.11098 Ukr. Math. J. 68, No. 8, 1222-1237 (2017); translation from Ukr. Mat. Zh. 68, No. 8, 1068-1079 (2016). MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{A. V. Lelechenko}, Ukr. Math. J. 68, No. 8, 1222--1237 (2017; Zbl 1450.11098); translation from Ukr. Mat. Zh. 68, No. 8, 1068--1079 (2016) Full Text: DOI arXiv
Schmidt, Eric The probability that the number of points on a complete intersection is squarefree. (English) Zbl 1434.11203 Rocky Mt. J. Math. 47, No. 8, 2777-2796 (2017). MSC: 11N37 11G25 PDFBibTeX XMLCite \textit{E. Schmidt}, Rocky Mt. J. Math. 47, No. 8, 2777--2796 (2017; Zbl 1434.11203) Full Text: DOI Euclid
Beckwith, Olivia; Mertens, Michael H. On the number of parts of integer partitions lying in given residue classes. (English) Zbl 1387.11074 Ann. Comb. 21, No. 4, 507-517 (2017). Reviewer: Robert Davis (East Lansing) MSC: 11P81 11P82 05A17 PDFBibTeX XMLCite \textit{O. Beckwith} and \textit{M. H. Mertens}, Ann. Comb. 21, No. 4, 507--517 (2017; Zbl 1387.11074) Full Text: DOI arXiv
Jang, Min-Joo Asymptotic behavior of odd-even partitions. (English) Zbl 1372.05013 Electron. J. Comb. 24, No. 3, Research Paper P3.62, 15 p. (2017). MSC: 05A17 11P82 PDFBibTeX XMLCite \textit{M.-J. Jang}, Electron. J. Comb. 24, No. 3, Research Paper P3.62, 15 p. (2017; Zbl 1372.05013) Full Text: arXiv Link
Coons, Michael An asymptotic approach in Mahler’s method. (English) Zbl 1432.11097 N. Z. J. Math. 47, 27-42 (2017). MSC: 11J85 11J91 30B30 PDFBibTeX XMLCite \textit{M. Coons}, N. Z. J. Math. 47, 27--42 (2017; Zbl 1432.11097) Full Text: arXiv
Chekhonadskikh, Alexander Vasil’evich Some classical number sequences in control system design. (English) Zbl 1369.93221 Sib. Èlektron. Mat. Izv. 14, 620-628 (2017). MSC: 93B55 93C05 34E10 49N35 11B39 PDFBibTeX XMLCite \textit{A. V. Chekhonadskikh}, Sib. Èlektron. Mat. Izv. 14, 620--628 (2017; Zbl 1369.93221) Full Text: DOI
Coons, Michael; Tachiya, Yohei Transcendence over meromorphic functions. (English) Zbl 1430.11100 Bull. Aust. Math. Soc. 95, No. 3, 393-399 (2017). MSC: 11J81 11J91 30B30 PDFBibTeX XMLCite \textit{M. Coons} and \textit{Y. Tachiya}, Bull. Aust. Math. Soc. 95, No. 3, 393--399 (2017; Zbl 1430.11100) Full Text: DOI
Petrushov, Oleg A. Asymptotic expansion of certain power series with multiplicative coefficients near the unit circle. (English. Russian original) Zbl 1366.30002 Math. Notes 101, No. 2, 297-309 (2017); translation from Mat. Zametki 100, No. 6, 887-899 (2016). MSC: 30B10 30B50 11N37 PDFBibTeX XMLCite \textit{O. A. Petrushov}, Math. Notes 101, No. 2, 297--309 (2017; Zbl 1366.30002); translation from Mat. Zametki 100, No. 6, 887--899 (2016) Full Text: DOI
Protasov, Vladimir Yu. The Euler binary partition function and subdivision schemes. (English) Zbl 1358.05024 Math. Comput. 86, No. 305, 1499-1524 (2017). MSC: 05A17 39A99 11P99 65D17 15A60 PDFBibTeX XMLCite \textit{V. Yu. Protasov}, Math. Comput. 86, No. 305, 1499--1524 (2017; Zbl 1358.05024) Full Text: DOI
Kocharovsky, Vitaly V.; Kocharovsky, Vladimir V. On the permanents of circulant and degenerate Schur matrices. (English) Zbl 1358.15005 Linear Algebra Appl. 519, 366-381 (2017). MSC: 15A15 15B05 05A18 05A30 11D04 11D45 82B20 PDFBibTeX XMLCite \textit{V. V. Kocharovsky} and \textit{V. V. Kocharovsky}, Linear Algebra Appl. 519, 366--381 (2017; Zbl 1358.15005) Full Text: DOI
Bringmann, Kathrin; Kane, Ben; Parry, Daniel; Rhoades, Robert On the Andrews-Zagier asymptotics for partitions without sequences. (English) Zbl 1367.11076 Adv. Math. 309, 436-451 (2017). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 60C05 60K35 05A17 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Adv. Math. 309, 436--451 (2017; Zbl 1367.11076) Full Text: DOI
Wang, Chenying; Mező, István Some limit theorems with respect to constrained permutations and partitions. (English) Zbl 1356.05011 Monatsh. Math. 182, No. 1, 155-164 (2017). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A16 05A05 05A18 11B73 PDFBibTeX XMLCite \textit{C. Wang} and \textit{I. Mező}, Monatsh. Math. 182, No. 1, 155--164 (2017; Zbl 1356.05011) Full Text: DOI
Bell, Jason P.; Coons, Michael Transcendence tests for Mahler functions. (English) Zbl 1365.11092 Proc. Am. Math. Soc. 145, No. 3, 1061-1070 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11J91 39A06 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{M. Coons}, Proc. Am. Math. Soc. 145, No. 3, 1061--1070 (2017; Zbl 1365.11092) Full Text: DOI arXiv
Milgram, Michael Exploring Riemann’s functional equation. (English) Zbl 1438.11121 Cogent Math. 3, Article ID 1179246, 32 p. (2016). MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{M. Milgram}, Cogent Math. 3, Article ID 1179246, 32 p. (2016; Zbl 1438.11121) Full Text: DOI arXiv