Jindal, Ankita; Khanduja, Sudesh K. Discriminant and integral basis of number fields defined by exponential Taylor polynomials. (English) Zbl 07852918 Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 528-541 (2024). Reviewer: Paulius Drungilas (Vilnius) MSC: 11R04 11R29 × Cite Format Result Cite Review PDF Full Text: DOI
Bandman, Tatiana; Zarhin, Yuri G. Simple complex tori of algebraic dimension 0. (English. Russian original) Zbl 1530.32010 Proc. Steklov Inst. Math. 320, 21-38 (2023); translation from Tr. Mat. Inst. Steklova 320, 27-45 (2023). MSC: 32M05 12F10 14K20 32J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oukhaba, Hassan; El Kati, Mohamed Laguerre type polynomials for rational function fields and applications. (English) Zbl 1528.11045 Mediterr. J. Math. 20, No. 2, Paper No. 72, 15 p. (2023). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11G09 11R58 12F12 × Cite Format Result Cite Review PDF Full Text: DOI
Cullinan, John; Scheel, Nick On the arithmetic of Padé approximants to the exponential function. (English) Zbl 1510.11153 J. Ramanujan Math. Soc. 37, No. 3, 207-219 (2022). MSC: 11R09 11R32 33C45 41A21 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Monsef-Shokri, Khosro On the Galois groups of some recursive polynomials. (English) Zbl 1507.11100 Bull. Iran. Math. Soc. 48, No. 4, 1919-1926 (2022). MSC: 11R32 12F12 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Katz, Nicholas M. On a question of Zannier. (English) Zbl 1485.11098 Exp. Math. 30, No. 3, 422-428 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11K99 14G15 14H10 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Shokri, Khosro Monsef; Shaffaf, Jafar; Taleb, Reza Galois groups of Taylor polynomials of some elementary functions. (English) Zbl 1444.11225 Int. J. Number Theory 15, No. 6, 1127-1141 (2019). MSC: 11R32 11F85 11R29 × Cite Format Result Cite Review PDF Full Text: DOI
Cullinan, John On the Jacobians of curves defined by the generalized Laguerre polynomials. (English) Zbl 1470.11160 Exp. Math. 28, No. 2, 223-232 (2019). MSC: 11G10 11G20 × Cite Format Result Cite Review PDF Full Text: DOI
Filaseta, Michael; Moy, Richard On the Galois group over \(\mathbb Q\) of a truncated binomial expansion. (English) Zbl 1446.11193 Colloq. Math. 154, No. 2, 295-308 (2018). MSC: 11R09 12F10 11R32 12E05 12E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Pradipto On Galois groups of a one-parameter orthogonal family of polynomials. (English) Zbl 1404.11127 Acta Arith. 183, No. 1, 1-34 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 11R32 11C08 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Jindal, Ankita; Laishram, Shanta; Sarma, Ritumoni Irreducibility and Galois groups of generalized Laguerre polynomials \(L_n^{(- 1 - n - r)}(x)\). (English) Zbl 1433.11027 J. Number Theory 183, 388-406 (2018). MSC: 11C08 11R32 12F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cullinan, John; Gajek-Leonard, Rylan On the Newton polygons of Kaneko-Zagier lifts of supersingular polynomials. (English) Zbl 1411.11112 Res. Number Theory 2, Paper No. 34, 16 p. (2016). MSC: 11R32 11R09 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Laishram, Shanta; Nair, Saranya G.; Shorey, T. N. Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\). (English) Zbl 1396.11053 J. Number Theory 160, 76-107 (2016). MSC: 11C08 11A41 11B25 11N05 11N13 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Cullinan, John; Etropolski, Anastassia; Sell, Elizabeth On the ranks of the Jacobians of curves defined by Jacobi polynomials. (English) Zbl 1358.11067 Rocky Mt. J. Math. 44, No. 1, 23-33 (2014). Reviewer: Alain Kraus (Paris) MSC: 11G05 11D25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Cullinan, John; Hajir, Farshid On the Galois groups of Legendre polynomials. (English) Zbl 1307.11031 Indag. Math., New Ser. 25, No. 3, 534-552 (2014). Reviewer: Andreas Bender (Pavia) MSC: 11B83 11R32 11R09 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Pradipto; Filaseta, Michael; Finch, Carrie E.; Leidy, J. Russell On classifying Laguerre polynomials which have Galois group the alternating group. (English. French summary) Zbl 1287.11128 J. Théor. Nombres Bordx. 25, No. 1, 1-30 (2013). MSC: 11R32 11C08 33C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Akhtari, Sh.; Saradha, N. Irreducibility of some orthogonal polynomials. (English) Zbl 1229.33013 Indag. Math., New Ser. 21, No. 3-4, 127-137 (2011). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 11N13 11C08 × Cite Format Result Cite Review PDF Full Text: DOI
Fuchs, Clemens; Shorey, T. N. Divisibility properties of generalized Laguerre polynomials. (English) Zbl 1208.11036 Indag. Math., New Ser. 20, No. 2, 217-231 (2009). Reviewer: Alan Filipin (Zagreb) MSC: 11C08 33C45 11N05 × Cite Format Result Cite Review PDF Full Text: DOI
Cullinan, John; Hajir, Farshid; Sell, Elizabeth Algebraic properties of a family of Jacobi polynomials. (English) Zbl 1239.11112 J. Théor. Nombres Bordx. 21, No. 1, 97-108 (2009). Reviewer: Andreas Bender (Pohang) MSC: 11R09 11R32 33C45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
De Wannemacker, Stefan; Laffey, Thomas; Osburn, Robert On a conjecture of Wilf. (English) Zbl 1166.11012 J. Comb. Theory, Ser. A 114, No. 7, 1332-1349 (2007). Reviewer: Ping Sun (Shenyang) MSC: 11B73 11P82 05A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajir, Farshid On the Galois group of generalized Laguerre polynomials. (English) Zbl 1094.11042 J. Théor. Nombres Bordx. 17, No. 2, 517-525 (2005). Reviewer: Nuria Vila (Barcelona) MSC: 11R32 12F10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Martin, Paulo A. The Galois group of \(x^{n}-x^{n-1}-\cdots-x-1\). (English) Zbl 1045.12005 J. Pure Appl. Algebra 190, No. 1-3, 213-223 (2004). MSC: 12F10 × Cite Format Result Cite Review PDF Full Text: DOI
Sell, Elizabeth A. On a certain family of generalized Laguerre polynomials. (English) Zbl 1053.11083 J. Number Theory 107, No. 2, 266-281 (2004). Reviewer: Tanguy Rivoal (Caen) MSC: 11R09 11C08 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Moree, P. Bertrand’s postulate for primes in arithmetical progressions. (English) Zbl 0789.11001 Comput. Math. Appl. 26, No. 5, 35-43 (1993). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11A41 11N13 × Cite Format Result Cite Review PDF Full Text: DOI
Vila, Núria Local Artin root numbers associated to some classical polynomials. (English) Zbl 0704.11042 J. Algebra 131, No. 2, 678-687 (1990). Reviewer: W.B.Müller MSC: 11R32 11S20 11S40 11E81 × Cite Format Result Cite Review PDF Full Text: DOI