Schopieray, Andrew Prime decomposition of modular tensor categories of local modules of type D. (English) Zbl 07305664 Quantum Topol. 11, No. 3, 489-524 (2020). MSC: 18D10 17B67 PDF BibTeX XML Cite \textit{A. Schopieray}, Quantum Topol. 11, No. 3, 489--524 (2020; Zbl 07305664) Full Text: DOI
Petrov, Fedor; Sun, Zhi-Wei Proof of some conjectures involving quadratic residues. (English) Zbl 07220321 Electron Res. Arch. 28, No. 2, 589-597 (2020). MSC: 11A15 05A05 11R11 33B10 PDF BibTeX XML Cite \textit{F. Petrov} and \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 2, 589--597 (2020; Zbl 07220321) Full Text: DOI
Binner, Damanvir Singh The number of solutions to \(ax + by + cz = n\) and its relation to quadratic residues. (English) Zbl 07212811 J. Integer Seq. 23, No. 6, Article 20.6.5, 19 p. (2020). MSC: 11D45 05A15 11A15 11A05 11A07 11D04 11D72 PDF BibTeX XML Cite \textit{D. S. Binner}, J. Integer Seq. 23, No. 6, Article 20.6.5, 19 p. (2020; Zbl 07212811) Full Text: Link
Gras, Georges New criteria for Vandiver’s conjecture using Gauss sums – heuristics and numerical experiments. (English) Zbl 1448.11194 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020). MSC: 11R18 11L05 11R37 11R29 PDF BibTeX XML Cite \textit{G. Gras}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020; Zbl 1448.11194) Full Text: DOI
Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté On the discrete Fuglede and Pompeiu problems. (English) Zbl 07190791 Anal. PDE 13, No. 3, 765-788 (2020). MSC: 43A46 20K 39B32 13F20 PDF BibTeX XML Cite \textit{G. Kiss} et al., Anal. PDE 13, No. 3, 765--788 (2020; Zbl 07190791) Full Text: DOI
Takeyama, Yoshihiro Derivations on the algebra of multiple harmonic \(q\)-series and their applications. (English) Zbl 1437.05026 Ramanujan J. 52, No. 1, 41-65 (2020). MSC: 05A30 11M32 33E20 PDF BibTeX XML Cite \textit{Y. Takeyama}, Ramanujan J. 52, No. 1, 41--65 (2020; Zbl 1437.05026) Full Text: DOI
Laugwitz, Robert; Miemietz, Vanessa Cell 2-representations and categorification at prime roots of unity. (English) Zbl 1430.18017 Adv. Math. 361, Article ID 106937, 66 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18D20 17B10 PDF BibTeX XML Cite \textit{R. Laugwitz} and \textit{V. Miemietz}, Adv. Math. 361, Article ID 106937, 66 p. (2020; Zbl 1430.18017) Full Text: DOI
Tongsomporn, Janyarak; Oswald, Nicola; Steuding, Jörn Waring’s problem for Hurwitz quaternion integers. (English) Zbl 07157986 J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D85 11R52 PDF BibTeX XML Cite \textit{J. Tongsomporn} et al., J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019; Zbl 07157986) Full Text: Link
Shi, Ruxi Fuglede’s conjecture holds on cyclic groups \(\mathbb{Z}_{pqr}\). (English) Zbl 1430.43005 Discrete Anal. 2019, Paper No. 14, 14 p. (2019). MSC: 43A99 05B45 PDF BibTeX XML Cite \textit{R. Shi}, Discrete Anal. 2019, Paper No. 14, 14 p. (2019; Zbl 1430.43005) Full Text: DOI arXiv
Qi, You A categorification of a quantum Frobenius map. (English) Zbl 1435.81101 J. Inst. Math. Jussieu 18, No. 5, 899-939 (2019). Reviewer: Jan E. Grabowski (Lancaster) MSC: 81R50 17B37 16E20 16E35 13A35 16E30 PDF BibTeX XML Cite \textit{Y. Qi}, J. Inst. Math. Jussieu 18, No. 5, 899--939 (2019; Zbl 1435.81101) Full Text: DOI arXiv
Etingof, Pavel; Neshveyev, Sergey Relations in quantized function algebras. (English) Zbl 07075201 Algebr. Represent. Theory 22, No. 3, 589-602 (2019). MSC: 20G42 17B37 18D10 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{S. Neshveyev}, Algebr. Represent. Theory 22, No. 3, 589--602 (2019; Zbl 07075201) Full Text: DOI arXiv
Alexandersson, Per; Amini, Nima The cone of cyclic sieving phenomena. (English) Zbl 1414.05300 Discrete Math. 342, No. 6, 1581-1601 (2019). MSC: 05E10 05E18 13A50 PDF BibTeX XML Cite \textit{P. Alexandersson} and \textit{N. Amini}, Discrete Math. 342, No. 6, 1581--1601 (2019; Zbl 1414.05300) Full Text: DOI
Ward, Jacob The \(q\)-unit circle: the unit circle in prime characteristics and its properties. (English) Zbl 1436.11140 Finite Fields Appl. 58, 222-256 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R60 11R32 11R58 11T22 11T55 12E20 52C26 PDF BibTeX XML Cite \textit{J. Ward}, Finite Fields Appl. 58, 222--256 (2019; Zbl 1436.11140) Full Text: DOI
Zhang, Guanghui On the Chebotarëv theorem over finite fields. (English) Zbl 1408.15008 Finite Fields Appl. 56, 97-108 (2019). MSC: 15A15 94B05 PDF BibTeX XML Cite \textit{G. Zhang}, Finite Fields Appl. 56, 97--108 (2019; Zbl 1408.15008) Full Text: DOI
Drungilas, Paulius; Dubickas, Artūras Multiplicative dependence of two integers shifted by a root of unity. (English) Zbl 1422.11223 Proc. Am. Math. Soc. 147, No. 2, 505-511 (2019). Reviewer: Henri Johnston (Exeter) MSC: 11R18 11R04 11A63 11D41 PDF BibTeX XML Cite \textit{P. Drungilas} and \textit{A. Dubickas}, Proc. Am. Math. Soc. 147, No. 2, 505--511 (2019; Zbl 1422.11223) Full Text: DOI
Aziz, Ryan; Majid, Shahn Co-double bosonisation and dual bases of \(c_q[SL_2]\) and \(c_q[SL_3]\). (English) Zbl 1445.16031 J. Algebra 518, 75-118 (2019). MSC: 16T05 20F36 PDF BibTeX XML Cite \textit{R. Aziz} and \textit{S. Majid}, J. Algebra 518, 75--118 (2019; Zbl 1445.16031) Full Text: DOI
Dubickas, Artūras On sums of two and three roots of unity. (English) Zbl 1447.11111 J. Number Theory 192, 65-79 (2018). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R18 PDF BibTeX XML Cite \textit{A. Dubickas}, J. Number Theory 192, 65--79 (2018; Zbl 1447.11111) Full Text: DOI
Sevostyanov, A. Representations of quantum groups at roots of unity, Whittaker vectors and \(q\)-\(W\) algebras. (English) Zbl 1426.17010 J. Algebra 511, 63-94 (2018). MSC: 17B37 20G42 PDF BibTeX XML Cite \textit{A. Sevostyanov}, J. Algebra 511, 63--94 (2018; Zbl 1426.17010) Full Text: DOI
Sawhney, Mehtaab; Stoner, David On symmetric but not cyclotomic numerical semigroups. (English) Zbl 06890152 SIAM J. Discrete Math. 32, No. 2, 1296-1304 (2018). MSC: 20M14 11C08 PDF BibTeX XML Cite \textit{M. Sawhney} and \textit{D. Stoner}, SIAM J. Discrete Math. 32, No. 2, 1296--1304 (2018; Zbl 06890152) Full Text: DOI arXiv
Beli, Constantin N.; Stan, Florin; Zaharescu, Alexandru An effective bound for the cyclotomic Loxton-Kedlaya rank. (English) Zbl 1456.11208 Glasg. Math. J. 60, No. 1, 97-110 (2018). Reviewer: John H. Loxton (Greenwich) MSC: 11R18 11R06 PDF BibTeX XML Cite \textit{C. N. Beli} et al., Glasg. Math. J. 60, No. 1, 97--110 (2018; Zbl 1456.11208) Full Text: DOI
Schneider, Carsten Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects. (English) Zbl 1403.12002 J. Symb. Comput. 80, Part 3, 616-664 (2017). MSC: 12H10 68W30 PDF BibTeX XML Cite \textit{C. Schneider}, J. Symb. Comput. 80, Part 3, 616--664 (2017; Zbl 1403.12002) Full Text: DOI
Amiot, Emmanuel Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. (English) Zbl 1395.00021 J. Math. Music 11, No. 2-3, 67-75 (2017). MSC: 00A65 11R32 PDF BibTeX XML Cite \textit{E. Amiot}, J. Math. Music 11, No. 2--3, 67--75 (2017; Zbl 1395.00021) Full Text: DOI
Knoebel, Arthur Fourier analysis of operations that preserve permutations. (English) Zbl 1429.08003 Algebra Univers. 78, No. 4, 533-544 (2017). MSC: 08A40 15A09 16Y60 20B25 40E15 42B05 PDF BibTeX XML Cite \textit{A. Knoebel}, Algebra Univers. 78, No. 4, 533--544 (2017; Zbl 1429.08003) Full Text: DOI
Malikiosis, Romanos-Diogenes Rotations by roots of unity and Diophantine approximation. (English) Zbl 1432.11082 Ramanujan J. 44, No. 1, 105-113 (2017). MSC: 11J71 PDF BibTeX XML Cite \textit{R.-D. Malikiosis}, Ramanujan J. 44, No. 1, 105--113 (2017; Zbl 1432.11082) Full Text: DOI
Ciamprone, Sergio; Pinzari, Claudia Quasi-coassociative \(C^\ast\)-quantum groupoids of type \(A\) and modular \(C^\ast\)-categories. (English) Zbl 1403.17019 Adv. Math. 322, 971-1032 (2017). MSC: 17B37 46L10 PDF BibTeX XML Cite \textit{S. Ciamprone} and \textit{C. Pinzari}, Adv. Math. 322, 971--1032 (2017; Zbl 1403.17019) Full Text: DOI
Nguyen, Bach; Trampel, Kurt; Yakimov, Milen Noncommutative discriminants via Poisson primes. (English) Zbl 1403.17020 Adv. Math. 322, 269-307 (2017). MSC: 17B37 53D17 17B63 14M15 PDF BibTeX XML Cite \textit{B. Nguyen} et al., Adv. Math. 322, 269--307 (2017; Zbl 1403.17020) Full Text: DOI arXiv
Miyanohara, Eiji A generalization of the Erdős-Surányi problem. (English) Zbl 1421.11013 Indag. Math., New Ser. 28, No. 2, 353-361 (2017). MSC: 11A67 11P05 PDF BibTeX XML Cite \textit{E. Miyanohara}, Indag. Math., New Ser. 28, No. 2, 353--361 (2017; Zbl 1421.11013) Full Text: DOI
Lenstra, H. W. jun.; Silverberg, A. Roots of unity in orders. (English) Zbl 1384.16012 Found. Comput. Math. 17, No. 3, 851-877 (2017). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 16H15 11Y16 11R54 13A99 PDF BibTeX XML Cite \textit{H. W. Lenstra jun.} and \textit{A. Silverberg}, Found. Comput. Math. 17, No. 3, 851--877 (2017; Zbl 1384.16012) Full Text: DOI arXiv
Ostafe, Alina On roots of unity in orbits of rational functions. (English) Zbl 1360.11111 Proc. Am. Math. Soc. 145, No. 5, 1927-1936 (2017). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R18 37F10 PDF BibTeX XML Cite \textit{A. Ostafe}, Proc. Am. Math. Soc. 145, No. 5, 1927--1936 (2017; Zbl 1360.11111) Full Text: DOI arXiv
Panzer, Erik The parity theorem for multiple polylogarithms. (English) Zbl 1419.11109 J. Number Theory 172, 93-113 (2017). MSC: 11M32 33B30 PDF BibTeX XML Cite \textit{E. Panzer}, J. Number Theory 172, 93--113 (2017; Zbl 1419.11109) Full Text: DOI arXiv
Paulin, Roland An explicit André-Oort type result for \(\mathbb{P}^1(\mathbb{C}) \times \mathbb{G}_m(\mathbb{C})\) based on logarithmic forms. (English) Zbl 1374.11070 Publ. Math. 88, No. 1-2, 21-33 (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 11G18 11J86 PDF BibTeX XML Cite \textit{R. Paulin}, Publ. Math. 88, No. 1--2, 21--33 (2016; Zbl 1374.11070) Full Text: DOI
Fanaï, H.-R. On matrices over roots of unity with vanishing permanent. (English) Zbl 1413.15012 Ars Comb. 126, 117-119 (2016). MSC: 15A15 PDF BibTeX XML Cite \textit{H. R. Fanaï}, Ars Comb. 126, 117--119 (2016; Zbl 1413.15012)
Zhigljavsky, Anatoly; Golyandina, Nina; Gryaznov, Svyatoslav Deconvolution of a discrete uniform distribution. (English) Zbl 1353.60015 Stat. Probab. Lett. 118, 37-44 (2016). MSC: 60E05 PDF BibTeX XML Cite \textit{A. Zhigljavsky} et al., Stat. Probab. Lett. 118, 37--44 (2016; Zbl 1353.60015) Full Text: DOI
Rodtes, Kijti Symmetry classes of tensors associated to nonabelian groups of order \(pq\). (English) Zbl 1354.20006 Bull. Aust. Math. Soc. 94, No. 1, 36-42 (2016). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20C30 15A69 PDF BibTeX XML Cite \textit{K. Rodtes}, Bull. Aust. Math. Soc. 94, No. 1, 36--42 (2016; Zbl 1354.20006) Full Text: DOI
Akbari, S.; Ariannejad, M.; Tajfirouz, Z. Permanents of matrices over roots of unity. (English) Zbl 1341.05145 Linear Multilinear Algebra 64, No. 9, 1769-1775 (2016). MSC: 05C50 15A15 PDF BibTeX XML Cite \textit{S. Akbari} et al., Linear Multilinear Algebra 64, No. 9, 1769--1775 (2016; Zbl 1341.05145) Full Text: DOI
Elias, Ben; Qi, You A categorification of quantum \(\mathfrak{sl}(2)\) at prime roots of unity. (English) Zbl 1355.81096 Adv. Math. 299, 863-930 (2016). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81R50 17B37 16T05 PDF BibTeX XML Cite \textit{B. Elias} and \textit{Y. Qi}, Adv. Math. 299, 863--930 (2016; Zbl 1355.81096) Full Text: DOI arXiv
Wake, Preston Full level structures revisited: pairs of roots of unity. (English) Zbl 1355.14032 J. Number Theory 168, 81-100 (2016). Reviewer: Xiao Xiao (Utica) MSC: 14L15 14G35 PDF BibTeX XML Cite \textit{P. Wake}, J. Number Theory 168, 81--100 (2016; Zbl 1355.14032) Full Text: DOI
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon On a divisibility relation for Lucas sequences. (English) Zbl 1402.11023 J. Number Theory 163, 1-18 (2016). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. F. Bilu} et al., J. Number Theory 163, 1--18 (2016; Zbl 1402.11023) Full Text: DOI
Elias, Ben; Qi, You An approach to categorification of some small quantum groups. II. (English) Zbl 1329.81238 Adv. Math. 288, 81-151 (2016). MSC: 81R50 17B37 22E70 16E20 16E35 PDF BibTeX XML Cite \textit{B. Elias} and \textit{Y. Qi}, Adv. Math. 288, 81--151 (2016; Zbl 1329.81238) Full Text: DOI arXiv
Schneider, Carsten A difference ring theory for symbolic summation. (English) Zbl 1328.12015 J. Symb. Comput. 72, 82-127 (2016). MSC: 12H10 33F10 39A10 68W30 PDF BibTeX XML Cite \textit{C. Schneider}, J. Symb. Comput. 72, 82--127 (2016; Zbl 1328.12015) Full Text: DOI
Kumar, Neeraj; Kumar, K. Senthil Note on vanishing power sums of roots of unity. (English) Zbl 1345.11060 Math. Stud. 84, No. 3-4, 69-73 (2015). MSC: 11L03 11R18 PDF BibTeX XML Cite \textit{N. Kumar} and \textit{K. S. Kumar}, Math. Stud. 84, No. 3--4, 69--73 (2015; Zbl 1345.11060) Full Text: arXiv
Ciolan, Emil-Alexandru; Neiss, Robert Axel Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction. (English) Zbl 1342.11012 Res. Number Theory 1, Paper No. 15, 18 p. (2015). MSC: 11A55 30B70 40A15 PDF BibTeX XML Cite \textit{E.-A. Ciolan} and \textit{R. A. Neiss}, Res. Number Theory 1, Paper No. 15, 18 p. (2015; Zbl 1342.11012) Full Text: DOI arXiv
Berele, Allan; Catoiu, Stefan Rationalizing denominators. (English) Zbl 1325.11109 Math. Mag. 88, No. 2, 121-136 (2015). MSC: 11R09 12F05 12F10 PDF BibTeX XML Cite \textit{A. Berele} and \textit{S. Catoiu}, Math. Mag. 88, No. 2, 121--136 (2015; Zbl 1325.11109) Full Text: DOI
Larcombe, Peter J.; Fennessey, Eric J. On the phenomenon of masked periodic Horadam sequences. (English) Zbl 1353.11053 Util. Math. 96, 111-123 (2015). MSC: 11B83 15B36 PDF BibTeX XML Cite \textit{P. J. Larcombe} and \textit{E. J. Fennessey}, Util. Math. 96, 111--123 (2015; Zbl 1353.11053)
Kim, Dae San Some symmetry identities for generalized twisted Bernoulli polynomials twisted by unramified roots of unity. (English) Zbl 1393.11020 Bull. Korean Math. Soc. 52, No. 2, 603-618 (2015). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{D. S. Kim}, Bull. Korean Math. Soc. 52, No. 2, 603--618 (2015; Zbl 1393.11020) Full Text: DOI Link arXiv
Garton, Derek Random matrices, the Cohen-Lenstra heuristics, and roots of unity. (English) Zbl 1326.11068 Algebra Number Theory 9, No. 1, 149-171 (2015). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R58 15B52 PDF BibTeX XML Cite \textit{D. Garton}, Algebra Number Theory 9, No. 1, 149--171 (2015; Zbl 1326.11068) Full Text: DOI arXiv
Pomykała, Jacek On \(q\)-orders in primitive modular groups. (English) Zbl 1320.11101 Acta Arith. 166, No. 4, 397-404 (2014). Reviewer: Pieter Moree (Bonn) MSC: 11R45 11M41 11M06 11Z05 PDF BibTeX XML Cite \textit{J. Pomykała}, Acta Arith. 166, No. 4, 397--404 (2014; Zbl 1320.11101) Full Text: DOI
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N. Numerical algorithms based on analytic function values at roots of unity. (English) Zbl 1305.41006 SIAM J. Numer. Anal. 52, No. 4, 1795-1821 (2014). Reviewer: Josef Kofroň (Praha) MSC: 41A10 41A20 65E05 PDF BibTeX XML Cite \textit{A. P. Austin} et al., SIAM J. Numer. Anal. 52, No. 4, 1795--1821 (2014; Zbl 1305.41006) Full Text: DOI
Jain, Nitin A.; Murthy, Kushal D.; Hamsapriye Matrix methods for finding \(\root n \of {m^u}\). (English) Zbl 1314.97012 Int. J. Math. Educ. Sci. Technol. 45, No. 5, 754-762 (2014). MSC: 97N50 97H60 65D20 15A99 PDF BibTeX XML Cite \textit{N. A. Jain} et al., Int. J. Math. Educ. Sci. Technol. 45, No. 5, 754--762 (2014; Zbl 1314.97012) Full Text: DOI
Holt, Benjamin V. Some general results and open questions on palintiple numbers. (English) Zbl 1307.11015 Integers 14, Paper A42, 13 p. (2014). Reviewer: Thomas Stoll (Vandœuvre-lés Nancy) MSC: 11A63 PDF BibTeX XML Cite \textit{B. V. Holt}, Integers 14, Paper A42, 13 p. (2014; Zbl 1307.11015) Full Text: EMIS
Qi, You Hopfological algebra. (English) Zbl 1343.16010 Compos. Math. 150, No. 1, 1-45 (2014). MSC: 16E35 16E45 18G60 18E30 16T05 PDF BibTeX XML Cite \textit{Y. Qi}, Compos. Math. 150, No. 1, 1--45 (2014; Zbl 1343.16010) Full Text: DOI arXiv
Kim, Dae San Identities of symmetry for generalized twisted Bernoulli polynomials twisted by ramified roots of unity. (English) Zbl 1299.11022 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 60, No. 1, 19-36 (2014). MSC: 11B68 11S80 05A19 PDF BibTeX XML Cite \textit{D. S. Kim}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 60, No. 1, 19--36 (2014; Zbl 1299.11022) Full Text: DOI arXiv
Malik, Amita; Stan, Florin; Zaharescu, Alexandru The Siegel norm, the length function and character values of finite groups. (English) Zbl 1301.20007 Indag. Math., New Ser. 25, No. 3, 475-486 (2014). Reviewer: Robert W. van der Waall (Huizen) MSC: 20C15 11R27 11R04 11L40 PDF BibTeX XML Cite \textit{A. Malik} et al., Indag. Math., New Ser. 25, No. 3, 475--486 (2014; Zbl 1301.20007) Full Text: DOI
Zhou, Li Fun with sign. (English) Zbl 1383.97003 Math. Gaz. 97, No. 540, 465-473 (2013). MSC: 97F60 11B75 00A08 PDF BibTeX XML Cite \textit{L. Zhou}, Math. Gaz. 97, No. 540, 465--473 (2013; Zbl 1383.97003) Full Text: DOI
Kuznetsov, Oleg; Hall, Thomas Eric A method of constructing a quaternion perfect sequence using composition of sequences of even lengths. (English) Zbl 1312.94025 Int. J. Inf. Coding Theory 2(2011), No. 2-3, 67-83 (2013). MSC: 94A55 PDF BibTeX XML Cite \textit{O. Kuznetsov} and \textit{T. E. Hall}, Int. J. Inf. Coding Theory 2, No. 2--3, 67--83 (2013; Zbl 1312.94025) Full Text: DOI
Szabó, Sándor Direct product of generalized simulated and distorted cyclic subsets. (English) Zbl 1296.20050 Int. Electron. J. Algebra 14, 19-31 (2013). MSC: 20K01 52C22 20D60 11B75 05B45 PDF BibTeX XML Cite \textit{S. Szabó}, Int. Electron. J. Algebra 14, 19--31 (2013; Zbl 1296.20050) Full Text: Link
Yang, Shangjun On the inverse eigenvalue problem for doubly stochastic matrices of a small order. (Chinese. English summary) Zbl 1289.15053 J. Anhui Univ., Nat. Sci. 37, No. 2, 1-6 (2013). MSC: 15B51 15A18 15A29 PDF BibTeX XML Cite \textit{S. Yang}, J. Anhui Univ., Nat. Sci. 37, No. 2, 1--6 (2013; Zbl 1289.15053) Full Text: DOI
Yakymenko, D. Yu. Decomposition of a unitary scalar operator into a product of roots of the identity. (English) Zbl 1289.47035 Methods Funct. Anal. Topol. 19, No. 2, 191-196 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A62 20F10 68Q42 PDF BibTeX XML Cite \textit{D. Yu. Yakymenko}, Methods Funct. Anal. Topol. 19, No. 2, 191--196 (2013; Zbl 1289.47035)
Mézard, A.; Romagny, M.; Tossici, D. Models of group schemes of roots of unity. (English. French summary) Zbl 1297.14051 Ann. Inst. Fourier 63, No. 3, 1055-1135 (2013). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14L15 13F30 14G25 PDF BibTeX XML Cite \textit{A. Mézard} et al., Ann. Inst. Fourier 63, No. 3, 1055--1135 (2013; Zbl 1297.14051) Full Text: DOI
Hardin, Douglas P.; Kendall, Amos P.; Saff, Edward B. Polarization optimality of equally spaced points on the circle for discrete potentials. (English) Zbl 1271.30001 Discrete Comput. Geom. 50, No. 1, 236-243 (2013). MSC: 30C15 52A40 PDF BibTeX XML Cite \textit{D. P. Hardin} et al., Discrete Comput. Geom. 50, No. 1, 236--243 (2013; Zbl 1271.30001) Full Text: DOI
Chkifa, Moulay Abdellah On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection. (English) Zbl 1264.41003 J. Approx. Theory 166, 176-200 (2013). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 PDF BibTeX XML Cite \textit{M. A. Chkifa}, J. Approx. Theory 166, 176--200 (2013; Zbl 1264.41003) Full Text: DOI
Shirali, Shailesh A. Digging for roots using the Pascal spade. (English) Zbl 1383.11028 Math. Gaz. 96, No. 536, 251-260 (2012). MSC: 11B83 11B75 11A55 05A10 PDF BibTeX XML Cite \textit{S. A. Shirali}, Math. Gaz. 96, No. 536, 251--260 (2012; Zbl 1383.11028) Full Text: DOI
Ragozzine, Charles B. jun. A formula for \(\zeta(2n)\) following Euler’s approach. (English) Zbl 1360.11085 Pi Mu Epsilon J. 13, No. 7, 415-419 (2012). MSC: 11M06 11B68 PDF BibTeX XML Cite \textit{C. B. Ragozzine jun.}, Pi Mu Epsilon J. 13, No. 7, 415--419 (2012; Zbl 1360.11085)
Navarro, Gabriel; Robinson, Geoffrey R. Irreducible characters taking root of unity values on \(p\)-singular elements. (English) Zbl 1291.20007 Proc. Am. Math. Soc. 140, No. 11, 3785-3792 (2012). MSC: 20C15 20D20 PDF BibTeX XML Cite \textit{G. Navarro} and \textit{G. R. Robinson}, Proc. Am. Math. Soc. 140, No. 11, 3785--3792 (2012; Zbl 1291.20007) Full Text: DOI arXiv
Aoki, Noboru On pure Gauss sums. (English) Zbl 1345.11061 Comment. Math. Univ. St. Pauli 61, No. 2, 133-165 (2012). MSC: 11L05 PDF BibTeX XML Cite \textit{N. Aoki}, Comment. Math. Univ. St. Pauli 61, No. 2, 133--165 (2012; Zbl 1345.11061)
Koç, Cemal; Kurtulmaz, Yosum Structure theory of central simple \(\mathbb Z_d\)-graded algebras. (English) Zbl 1273.16043 Turk. J. Math. 36, No. 4, 560-577 (2012). Reviewer: Bui Xuan Hai (Ho Chi Minh City) MSC: 16W50 16K40 15A66 PDF BibTeX XML Cite \textit{C. Koç} and \textit{Y. Kurtulmaz}, Turk. J. Math. 36, No. 4, 560--577 (2012; Zbl 1273.16043) Full Text: Link
Beyarslan, Özlem; Hrushovski, Ehud On algebraic closure in pseudofinite fields. (English) Zbl 1273.03126 J. Symb. Log. 77, No. 4, 1057-1066 (2012). MSC: 03C60 12L12 PDF BibTeX XML Cite \textit{Ö. Beyarslan} and \textit{E. Hrushovski}, J. Symb. Log. 77, No. 4, 1057--1066 (2012; Zbl 1273.03126) Full Text: DOI Euclid arXiv
Mocanu, Marcelina A problem solving approach to some applications of the roots of unity to regular polygons. (English) Zbl 1259.51006 Int. J. Geom. 1, No. 2, 46-60 (2012). MSC: 51M04 PDF BibTeX XML Cite \textit{M. Mocanu}, Int. J. Geom. 1, No. 2, 46--60 (2012; Zbl 1259.51006) Full Text: Link
Kim, Dae San Identities associated with generalized twisted Euler polynomials twisted by ramified roots of unity. (English) Zbl 1283.11039 Adv. Stud. Contemp. Math., Kyungshang 22, No. 3, 363-377 (2012). MSC: 11B68 11S80 05A19 PDF BibTeX XML Cite \textit{D. S. Kim}, Adv. Stud. Contemp. Math., Kyungshang 22, No. 3, 363--377 (2012; Zbl 1283.11039)
Shang, Yilun On a conjecture of Schinzel and Zassenhaus. (English) Zbl 1259.15027 J. Math. Inequal. 6, No. 3, 447-451 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 11R04 30C15 PDF BibTeX XML Cite \textit{Y. Shang}, J. Math. Inequal. 6, No. 3, 447--451 (2012; Zbl 1259.15027) Full Text: DOI Link
Davis, Matt Representations of rank two affine Hecke algebras at roots of unity. (English) Zbl 1259.20005 J. Algebra 352, No. 1, 104-140 (2012). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C08 22E35 PDF BibTeX XML Cite \textit{M. Davis}, J. Algebra 352, No. 1, 104--140 (2012; Zbl 1259.20005) Full Text: DOI arXiv
Leroux, Louis Computing the torsion points of a variety defined by lacunary polynomials. (English) Zbl 1263.11115 Math. Comput. 81, No. 279, 1587-1607 (2012). Reviewer: Carlos D’Andrea (Barcelona) MSC: 11Y16 12Y05 68W30 PDF BibTeX XML Cite \textit{L. Leroux}, Math. Comput. 81, No. 279, 1587--1607 (2012; Zbl 1263.11115) Full Text: DOI arXiv
Aliev, Iskander; Smyth, Chris Solving algebraic equations in roots of unity. (English) Zbl 1297.11068 Forum Math. 24, No. 3, 641-665 (2012). MSC: 11G35 11R18 13P15 PDF BibTeX XML Cite \textit{I. Aliev} and \textit{C. Smyth}, Forum Math. 24, No. 3, 641--665 (2012; Zbl 1297.11068) Full Text: DOI arXiv
Labelle, Gilbert; Lacasse, Annie Closed paths whose steps are roots of unity. (English. French summary) Zbl 1355.05032 Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13–17, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 599-610 (2011). MSC: 05A16 30C10 30C15 60G50 PDF BibTeX XML Cite \textit{G. Labelle} and \textit{A. Lacasse}, in: Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13--17, 2011. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 599--610 (2011; Zbl 1355.05032) Full Text: Link
Pulita, Andrea A basic introduction to deformation and confluence of ultrametric differential and \(q\)-difference equations. (English. French summary) Zbl 1317.39013 Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 271-306 (2011). MSC: 39A13 12H25 11S15 12H10 PDF BibTeX XML Cite \textit{A. Pulita}, Sémin. Congr. 23, 271--306 (2011; Zbl 1317.39013) Full Text: arXiv
Kunszenti-Kovács, Dávid; Nittka, Robin; Sauter, Manfred On the limits of Cesàro means of polynomial powers. (English) Zbl 1228.47014 Math. Z. 268, No. 3-4, 771-776 (2011). Reviewer: Victor Sharapov (Volgograd) MSC: 47A35 37A30 11T06 PDF BibTeX XML Cite \textit{D. Kunszenti-Kovács} et al., Math. Z. 268, No. 3--4, 771--776 (2011; Zbl 1228.47014) Full Text: DOI
Voorhees, Burton Representation of additive cylindrical cellular automata with roots of unity. (English) Zbl 1216.68179 J. Cell. Autom. 6, No. 1, 105-119 (2011). MSC: 68Q80 11Z05 PDF BibTeX XML Cite \textit{B. Voorhees}, J. Cell. Autom. 6, No. 1, 105--119 (2011; Zbl 1216.68179)
Chien, Tuan-Yow; Waldron, Shayne A classification of the harmonic frames up to unitary equivalence. (English) Zbl 1211.42028 Appl. Comput. Harmon. Anal. 30, No. 3, 307-318 (2011). MSC: 42C15 PDF BibTeX XML Cite \textit{T.-Y. Chien} and \textit{S. Waldron}, Appl. Comput. Harmon. Anal. 30, No. 3, 307--318 (2011; Zbl 1211.42028) Full Text: DOI arXiv
Sivek, Gary On vanishing sums of distinct roots of unity. (English) Zbl 1259.11098 Integers 10, No. 3, 365-368, A31 (2010). MSC: 11R18 11L03 PDF BibTeX XML Cite \textit{G. Sivek}, Integers 10, No. 3, 365--368, A31 (2010; Zbl 1259.11098) Full Text: DOI
Semikhatov, Alexei M. A Heisenberg double addition to the logarithmic Kazhdan-Lusztig duality. (English) Zbl 1222.16023 Lett. Math. Phys. 92, No. 1, 81-98 (2010). Reviewer: Nenad Manojlović (Faro) MSC: 16T05 16T20 81T40 81R50 17B37 16S40 57T05 PDF BibTeX XML Cite \textit{A. M. Semikhatov}, Lett. Math. Phys. 92, No. 1, 81--98 (2010; Zbl 1222.16023) Full Text: DOI arXiv
Stan, Florin; Zaharescu, Alexandru Siegel’s trace problem and character values of finite groups. (English) Zbl 1242.11078 J. Reine Angew. Math. 637, 217-234 (2009). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R80 11S05 PDF BibTeX XML Cite \textit{F. Stan} and \textit{A. Zaharescu}, J. Reine Angew. Math. 637, 217--234 (2009; Zbl 1242.11078) Full Text: DOI
Gross, Benedict H.; Hironaka, Eriko; McMullen, Curtis T. Cyclotomic factors of Coxeter polynomials. (English) Zbl 1183.11065 J. Number Theory 129, No. 5, 1034-1043 (2009). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 12D05 PDF BibTeX XML Cite \textit{B. H. Gross} et al., J. Number Theory 129, No. 5, 1034--1043 (2009; Zbl 1183.11065) Full Text: DOI
Marzo, Jordi; Seip, Kristian The Kadets \(1/4\) theorem for polynomials. (English) Zbl 1173.46002 Math. Scand. 104, No. 2, 311-318 (2009). Reviewer: Vania Mascioni (Muncie) MSC: 46B15 26C05 41A65 PDF BibTeX XML Cite \textit{J. Marzo} and \textit{K. Seip}, Math. Scand. 104, No. 2, 311--318 (2009; Zbl 1173.46002) Full Text: DOI
Loewy, Raphael; Mehrmann, Volker A note on Potter’s theorem for quasi-commutative matrices. (English) Zbl 1177.15019 Linear Algebra Appl. 430, No. 7, 1812-1825 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A27 15A24 PDF BibTeX XML Cite \textit{R. Loewy} and \textit{V. Mehrmann}, Linear Algebra Appl. 430, No. 7, 1812--1825 (2009; Zbl 1177.15019) Full Text: DOI
Descouens, F.; Morita, H.; Numata, Y. A bijective proof of a factorization formula for Macdonald polynomials at roots of unity. (English. French summary) Zbl 1393.05271 Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23–27, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 471-482 (2008). MSC: 05E05 33D52 PDF BibTeX XML Cite \textit{F. Descouens} et al., in: Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23--27, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 471--482 (2008; Zbl 1393.05271) Full Text: Link
Backelin, Erik; Kremnizer, Kobi Localization for quantum groups at a root of unity. (English) Zbl 1248.14003 J. Am. Math. Soc. 21, No. 4, 1001-1018 (2008). MSC: 14A22 17B37 58B32 20G42 14F05 18E30 PDF BibTeX XML Cite \textit{E. Backelin} and \textit{K. Kremnizer}, J. Am. Math. Soc. 21, No. 4, 1001--1018 (2008; Zbl 1248.14003) Full Text: DOI arXiv
Wimmer, Harald K. Polynomial matrices with Hermitian coefficients and a generalization of the Eneström-Kakeya theorem. (English) Zbl 1178.15015 Oper. Matrices 2, No. 3, 443-454 (2008). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 15A54 15B33 15A24 30C15 39A30 PDF BibTeX XML Cite \textit{H. K. Wimmer}, Oper. Matrices 2, No. 3, 443--454 (2008; Zbl 1178.15015) Full Text: DOI
Sheil-Small, T. An inequality for the modulus of a polynomial evaluated at the roots of unity. (English) Zbl 1163.30011 Bull. Lond. Math. Soc. 40, No. 6, 956-964 (2008). Reviewer: Wiesław Pleśniak (Kraków) MSC: 30C10 42A15 PDF BibTeX XML Cite \textit{T. Sheil-Small}, Bull. Lond. Math. Soc. 40, No. 6, 956--964 (2008; Zbl 1163.30011) Full Text: DOI
Steinberger, John P. Minimal vanishing sums of roots of unity with large coefficients. (English) Zbl 1209.11093 Proc. Lond. Math. Soc. (3) 97, No. 3, 689-717 (2008). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R18 11R09 PDF BibTeX XML Cite \textit{J. P. Steinberger}, Proc. Lond. Math. Soc. (3) 97, No. 3, 689--717 (2008; Zbl 1209.11093) Full Text: DOI
Zilber, Boris A class of quantum Zariski geometries. (English) Zbl 1153.03013 Chatzidakis, Zoé (ed.) et al., Model theory with applications to algebra and analysis. Vol. 1. Cambridge: Cambridge University Press (ISBN 978-0-521-69484-1/pbk). London Mathematical Society Lecture Note Series 349, 293-326 (2008). Reviewer: Immanuel Halupczok (Paris) MSC: 03C65 03C60 14A22 81R50 PDF BibTeX XML Cite \textit{B. Zilber}, Lond. Math. Soc. Lect. Note Ser. 349, 293--326 (2008; Zbl 1153.03013)
Colwell, Nancy; Illian, Josua On the minimal polynomial of \(\zeta_n+\zeta_n^{-1}\). (English) Zbl 1142.12301 Int. J. Pure Appl. Math. 44, No. 2, 195-204 (2008). MSC: 12E10 11R18 PDF BibTeX XML Cite \textit{N. Colwell} and \textit{J. Illian}, Int. J. Pure Appl. Math. 44, No. 2, 195--204 (2008; Zbl 1142.12301)
Hirano, Takato; Wada, Koichiro; Tanaka, Keisuke Public-key cryptosystems with primitive power roots of unity. (English) Zbl 1279.94085 Mu, Yi (ed.) et al., Information security and privacy. 13th Australasian conference, ACISP 2008, Wollongong, Australia, July 7–9, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-69971-2/pbk). Lecture Notes in Computer Science 5107, 98-112 (2008). MSC: 94A60 PDF BibTeX XML Cite \textit{T. Hirano} et al., Lect. Notes Comput. Sci. 5107, 98--112 (2008; Zbl 1279.94085) Full Text: DOI
Barcelo, Hélène; Reiner, Victor; Stanton, Dennis Bimahonian distributions. (English) Zbl 1202.05147 J. Lond. Math. Soc., II. Ser. 77, No. 3, 627-646 (2008). MSC: 05E10 20F55 13A50 PDF BibTeX XML Cite \textit{H. Barcelo} et al., J. Lond. Math. Soc., II. Ser. 77, No. 3, 627--646 (2008; Zbl 1202.05147) Full Text: DOI arXiv
Mandloi, A.; Pathak, A. K. \((0,2)\) Pál-type interpolation on a circle in the complex plane involving Möbius transforms. (English) Zbl 1138.30002 Numer. Algorithms 47, No. 2, 181-190 (2008). Reviewer: Jacek Gilewicz (Marseille) MSC: 30C10 30E05 PDF BibTeX XML Cite \textit{A. Mandloi} and \textit{A. K. Pathak}, Numer. Algorithms 47, No. 2, 181--190 (2008; Zbl 1138.30002) Full Text: DOI
Morita, Hideaki Garsia-Haiman modules for hook partitions and Green polynomials with two variables. (English) Zbl 1147.05059 J. Algebra 319, No. 1, 235-247 (2008). MSC: 05E10 05E05 20C30 PDF BibTeX XML Cite \textit{H. Morita}, J. Algebra 319, No. 1, 235--247 (2008; Zbl 1147.05059) Full Text: DOI
Abe, Yuuki Inductive construction of nilpotent modules of quantum groups at roots of unity. (English) Zbl 1149.17006 Tokyo J. Math. 30, No. 2, 351-371 (2007). Reviewer: Huang Hua-Lin (Shandong) MSC: 17B37 PDF BibTeX XML Cite \textit{Y. Abe}, Tokyo J. Math. 30, No. 2, 351--371 (2007; Zbl 1149.17006) Full Text: DOI arXiv
Azarian, Mohammad K. On the hyperfactorial function, hypertriangular function, and the discriminants of certain polynomials. (English) Zbl 1133.11012 Int. J. Pure Appl. Math. 36, No. 2, 251-257 (2007). Reviewer: Carsten Schneider (Linz) MSC: 11B65 05A10 11A07 PDF BibTeX XML Cite \textit{M. K. Azarian}, Int. J. Pure Appl. Math. 36, No. 2, 251--257 (2007; Zbl 1133.11012)
Sustik, Mátyás A.; Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun. On the existence of equiangular tight frames. (English) Zbl 1127.15013 Linear Algebra Appl. 426, No. 2-3, 619-635 (2007). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15B33 15B57 15B36 68R10 05C50 15A63 PDF BibTeX XML Cite \textit{M. A. Sustik} et al., Linear Algebra Appl. 426, No. 2--3, 619--635 (2007; Zbl 1127.15013) Full Text: DOI
Morita, Hideaki Green polynomials at roots of unity and Springer modules for the symmetric groups. (English) Zbl 1116.05089 Adv. Math. 212, No. 1, 277-292 (2007). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{H. Morita}, Adv. Math. 212, No. 1, 277--292 (2007; Zbl 1116.05089) Full Text: DOI
Pakovich, F. A remark on the Chebotarev theorem about roots of unity. (English) Zbl 1129.12002 Integers 7, No. 1, Paper A18, 2 p. (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 12D10 11C08 11C20 PDF BibTeX XML Cite \textit{F. Pakovich}, Integers 7, No. 1, Paper A18, 2 p. (2007; Zbl 1129.12002) Full Text: EuDML arXiv