Berardini, Elena; Giangreco-Maidana, Alejandro J. Weil polynomials of abelian varieties over finite fields with many rational points. (English) Zbl 07543088 Int. J. Number Theory 18, No. 7, 1591-1603 (2022). MSC: 11G10 14G05 14G15 14K02 PDF BibTeX XML Cite \textit{E. Berardini} and \textit{A. J. Giangreco-Maidana}, Int. J. Number Theory 18, No. 7, 1591--1603 (2022; Zbl 07543088) Full Text: DOI OpenURL
Yu, Zhiqiang Pre-modular fusion categories of small global dimensions. (English) Zbl 07495559 Algebr. Represent. Theory 25, No. 2, 521-538 (2022). MSC: 18D10 16T05 PDF BibTeX XML Cite \textit{Z. Yu}, Algebr. Represent. Theory 25, No. 2, 521--538 (2022; Zbl 07495559) Full Text: DOI OpenURL
Wang, Cong; Wu, Jie; Wu, Qiang Totally positive algebraic integers with small trace. (English) Zbl 1469.11483 Math. Comput. 90, No. 331, 2317-2332 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11Y40 11R06 PDF BibTeX XML Cite \textit{C. Wang} et al., Math. Comput. 90, No. 331, 2317--2332 (2021; Zbl 1469.11483) Full Text: DOI OpenURL
Schopieray, Andrew Norm, trace, and formal codegrees of fusion categories. (English) Zbl 1456.18013 J. Algebra 568, 362-385 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 18M15 PDF BibTeX XML Cite \textit{A. Schopieray}, J. Algebra 568, 362--385 (2021; Zbl 1456.18013) Full Text: DOI arXiv OpenURL
Flammang, V. Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8. (English) Zbl 1465.11206 Math. Comput. 90, No. 327, 379-388 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11Y40 PDF BibTeX XML Cite \textit{V. Flammang}, Math. Comput. 90, No. 327, 379--388 (2021; Zbl 1465.11206) Full Text: DOI OpenURL
Dubickas, Artūras; Pritsker, Igor Weighted Fekete points on the real line and the unit circle. (English) Zbl 1467.30004 Comput. Methods Funct. Theory 20, No. 3-4, 403-429 (2020). Reviewer: Leonid Golinskii (Kharkov) MSC: 30C10 30C15 31C20 12D10 PDF BibTeX XML Cite \textit{A. Dubickas} and \textit{I. Pritsker}, Comput. Methods Funct. Theory 20, No. 3--4, 403--429 (2020; Zbl 1467.30004) Full Text: DOI arXiv OpenURL
Flammang, V. An analog to the Schur-Siegel-Smyth trace problem. (English) Zbl 1465.11205 Math. Comput. 89, No. 325, 2387-2398 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11Y40 PDF BibTeX XML Cite \textit{V. Flammang}, Math. Comput. 89, No. 325, 2387--2398 (2020; Zbl 1465.11205) Full Text: DOI OpenURL
Dubickas, Artūras; Pritsker, Igor Extremal problems for polynomials with real roots. (English) Zbl 1431.12001 J. Approx. Theory 253, Article ID 105376, 21 p. (2020). MSC: 12D10 26C10 30C10 30C15 31C20 PDF BibTeX XML Cite \textit{A. Dubickas} and \textit{I. Pritsker}, J. Approx. Theory 253, Article ID 105376, 21 p. (2020; Zbl 1431.12001) Full Text: DOI arXiv OpenURL
Flammang, V. The absolute trace of totally positive algebraic integers. (English) Zbl 1454.11193 Int. J. Number Theory 15, No. 1, 173-181 (2019). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11R80 11Y40 PDF BibTeX XML Cite \textit{V. Flammang}, Int. J. Number Theory 15, No. 1, 173--181 (2019; Zbl 1454.11193) Full Text: DOI OpenURL
Dong, Xiaoqian; Wu, Qiang The absolute trace of totally positive reciprocal algebraic integers. (English) Zbl 1409.11020 J. Number Theory 170, 66-74 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R04 11Y40 PDF BibTeX XML Cite \textit{X. Dong} and \textit{Q. Wu}, J. Number Theory 170, 66--74 (2017; Zbl 1409.11020) Full Text: DOI OpenURL
Pratt, Kyle; Shakan, George; Zaharescu, Alexandru A generalization of the Schur-Siegel-Smyth trace problem. (English) Zbl 1330.11067 J. Math. Anal. Appl. 436, No. 1, 489-500 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11C08 PDF BibTeX XML Cite \textit{K. Pratt} et al., J. Math. Anal. Appl. 436, No. 1, 489--500 (2016; Zbl 1330.11067) Full Text: DOI arXiv OpenURL
Stan, Florin; Zaharescu, Alexandru Weil numbers in finite extensions of \(\mathbb{Q}^{\mathrm{ab}}\): the Loxton-Kedlaya phenomenon. (English) Zbl 1322.11109 Trans. Am. Math. Soc. 367, No. 6, 4359-4376 (2015). Reviewer: Günter Lettl (Graz) MSC: 11R06 11R18 PDF BibTeX XML Cite \textit{F. Stan} and \textit{A. Zaharescu}, Trans. Am. Math. Soc. 367, No. 6, 4359--4376 (2015; Zbl 1322.11109) Full Text: DOI OpenURL
Pritsker, Igor E. Asymptotic distribution and symmetric means of algebraic numbers. (English) Zbl 1321.11036 Acta Arith. 168, No. 2, 121-138 (2015). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R09 30C15 PDF BibTeX XML Cite \textit{I. E. Pritsker}, Acta Arith. 168, No. 2, 121--138 (2015; Zbl 1321.11036) Full Text: DOI arXiv OpenURL
Flammang, V. The total distance for totally positive algebraic integers. (English) Zbl 1306.11083 Bull. Aust. Math. Soc. 90, No. 3, 391-403 (2014). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 PDF BibTeX XML Cite \textit{V. Flammang}, Bull. Aust. Math. Soc. 90, No. 3, 391--403 (2014; Zbl 1306.11083) Full Text: DOI OpenURL
Miller, Alexander R. The probability that a character value is zero for the symmetric group. (English) Zbl 1317.20007 Math. Z. 277, No. 3-4, 1011-1015 (2014). Reviewer: Mark Wildon (London) MSC: 20C30 20P05 05E10 PDF BibTeX XML Cite \textit{A. R. Miller}, Math. Z. 277, No. 3--4, 1011--1015 (2014; Zbl 1317.20007) Full Text: DOI arXiv OpenURL
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M. Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods. (English) Zbl 1291.90147 Exp. Math. 23, No. 1, 1-5 (2014). MSC: 90C11 11C08 11R09 11S05 12D10 26C10 PDF BibTeX XML Cite \textit{S. El Otmani} et al., Exp. Math. 23, No. 1, 1--5 (2014; Zbl 1291.90147) Full Text: DOI OpenURL
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 OpenURL
McKee, James; Yatsyna, Pavlo A trace bound for positive definite connected integer symmetric matrices. (English) Zbl 1286.15025 Linear Algebra Appl. 444, 227-230 (2014). MSC: 15A45 15A15 15B36 15A18 05C50 05C40 PDF BibTeX XML Cite \textit{J. McKee} and \textit{P. Yatsyna}, Linear Algebra Appl. 444, 227--230 (2014; Zbl 1286.15025) Full Text: DOI OpenURL
Pritsker, Igor E. Polynomials with integer coefficients and their zeros. (English. Russian original) Zbl 1317.11106 J. Math. Sci., New York 183, No. 6, 810-822 (2012); translation from Ukr. Mat. Visn. 9, No. 1, 81-97 (2012). Reviewer: Chris Smyth (Edinburgh) MSC: 11R09 11C08 12D10 PDF BibTeX XML Cite \textit{I. E. Pritsker}, J. Math. Sci., New York 183, No. 6, 810--822 (2012; Zbl 1317.11106); translation from Ukr. Mat. Visn. 9, No. 1, 81--97 (2012) Full Text: DOI arXiv OpenURL
Liang, Yanhua; Wu, Qiang The trace problem for totally positive algebraic integers. (English) Zbl 1290.11143 J. Aust. Math. Soc. 90, No. 3, 341-354 (2011). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11C08 11Y40 11K16 PDF BibTeX XML Cite \textit{Y. Liang} and \textit{Q. Wu}, J. Aust. Math. Soc. 90, No. 3, 341--354 (2011; Zbl 1290.11143) Full Text: DOI OpenURL
Pritsker, Igor E. Distribution of algebraic numbers. (English) Zbl 1248.11080 J. Reine Angew. Math. 657, 57-80 (2011). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11R06 31A15 PDF BibTeX XML Cite \textit{I. E. Pritsker}, J. Reine Angew. Math. 657, 57--80 (2011; Zbl 1248.11080) Full Text: DOI arXiv OpenURL
Calegari, Frank; Morrison, Scott; Snyder, Noah Cyclotomic integers, fusion categories, and subfactors. (English) Zbl 1220.18004 Commun. Math. Phys. 303, No. 3, 845-896 (2011). Reviewer: Sonia Natale (Córdoba) MSC: 18D10 46L37 11R32 11R18 PDF BibTeX XML Cite \textit{F. Calegari} et al., Commun. Math. Phys. 303, No. 3, 845--896 (2011; Zbl 1220.18004) Full Text: DOI arXiv OpenURL
McKee, James Computing totally positive algebraic integers of small trace. (English) Zbl 1216.11098 Math. Comput. 80, No. 274, 1041-1052 (2011). Reviewer: Péter Olajos (Miskolc) MSC: 11R04 11Y40 PDF BibTeX XML Cite \textit{J. McKee}, Math. Comput. 80, No. 274, 1041--1052 (2011; Zbl 1216.11098) Full Text: DOI OpenURL
Pritsker, Igor E. Equidistribution of points via energy. (English) Zbl 1217.31004 Ark. Mat. 49, No. 1, 149-173 (2011). Reviewer: Vasily A. Chernecky (Odessa) MSC: 31C15 30C85 30E10 31A15 PDF BibTeX XML Cite \textit{I. E. Pritsker}, Ark. Mat. 49, No. 1, 149--173 (2011; Zbl 1217.31004) Full Text: DOI arXiv OpenURL
Kaneko, Jyoichi Constrained extremal problems for the difference product. (English) Zbl 1213.26029 J. Approx. Theory 162, No. 11, 1879-1918 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 26D20 26D05 33C45 PDF BibTeX XML Cite \textit{J. Kaneko}, J. Approx. Theory 162, No. 11, 1879--1918 (2010; Zbl 1213.26029) Full Text: DOI OpenURL
Flammang, V. Trace of totally positive algebraic integers and integer transfinite diameter. (English) Zbl 1215.11099 Math. Comput. 78, No. 266, 1119-1125 (2009). Reviewer: Henri Johnston (Cambridge) MSC: 11R04 11Y40 PDF BibTeX XML Cite \textit{V. Flammang}, Math. Comput. 78, No. 266, 1119--1125 (2009; Zbl 1215.11099) Full Text: DOI OpenURL
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 OpenURL
Bell, Jason; Skandera, Mark Multicomplexes and polynomials with real zeros. (English) Zbl 1112.05103 Discrete Math. 307, No. 6, 668-682 (2007). MSC: 05E25 13F55 PDF BibTeX XML Cite \textit{J. Bell} and \textit{M. Skandera}, Discrete Math. 307, No. 6, 668--682 (2007; Zbl 1112.05103) Full Text: DOI OpenURL
Knörr, Reinhard Orthogonality on cosets. (English) Zbl 1109.20006 J. Algebra 299, No. 2, 456-466 (2006). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 20C15 20C05 PDF BibTeX XML Cite \textit{R. Knörr}, J. Algebra 299, No. 2, 456--466 (2006; Zbl 1109.20006) Full Text: DOI OpenURL
Elia, Michele Representation of primes as the sums of two squares in the golden section quadratic field. (English) Zbl 1095.11050 J. Discrete Math. Sci. Cryptography 9, No. 1, 25-37 (2006). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R11 11R20 PDF BibTeX XML Cite \textit{M. Elia}, J. Discrete Math. Sci. Cryptography 9, No. 1, 25--37 (2006; Zbl 1095.11050) Full Text: DOI OpenURL
Aguirre, Julián; Bilbao, Mikel; Peral, Juan Carlos The trace of totally positive algebraic integers. (English) Zbl 1102.11058 Math. Comput. 75, No. 253, 385-393 (2006). Reviewer: Alain S. Togbe (Westville) MSC: 11R06 11-04 11Y40 PDF BibTeX XML Cite \textit{J. Aguirre} et al., Math. Comput. 75, No. 253, 385--393 (2006; Zbl 1102.11058) Full Text: DOI OpenURL
Pritsker, Igor E. Small polynomials with integer coefficients. (English) Zbl 1091.11009 J. Anal. Math. 96, 151-190 (2005). Reviewer: David W. Boyd (Vancouver) MSC: 11C08 PDF BibTeX XML Cite \textit{I. E. Pritsker}, J. Anal. Math. 96, 151--190 (2005; Zbl 1091.11009) Full Text: DOI arXiv OpenURL
Howe, Everett W.; Lauter, Kristin E. Improved upper bounds for the number of points on curves over finite fields. (English) Zbl 1065.11043 Ann. Inst. Fourier 53, No. 6, 1677-1737 (2003); corrigendum ibid. 57, No. 3, 1019-1021 (2007). MSC: 11G20 14G05 14G10 14G15 PDF BibTeX XML Cite \textit{E. W. Howe} and \textit{K. E. Lauter}, Ann. Inst. Fourier 53, No. 6, 1677--1737 (2003; Zbl 1065.11043) Full Text: DOI Numdam EuDML OpenURL
Dubickas, Artūras The mean values of logarithms of algebraic integers. (English) Zbl 0923.11145 J. Théor. Nombres Bordx. 10, No. 2, 301-313 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R04 PDF BibTeX XML Cite \textit{A. Dubickas}, J. Théor. Nombres Bordx. 10, No. 2, 301--313 (1998; Zbl 0923.11145) Full Text: DOI Numdam EuDML EMIS OpenURL
Borwein, Peter; Erdélyi, Tamás The integer Chebyshev problem. (English) Zbl 0859.11044 Math. Comput. 65, No. 214, 661-681 (1996). Reviewer: M.G.de Bruin (Delft) MSC: 11J54 11B83 41A50 PDF BibTeX XML Cite \textit{P. Borwein} and \textit{T. Erdélyi}, Math. Comput. 65, No. 214, 661--681 (1996; Zbl 0859.11044) Full Text: DOI OpenURL
Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco A table of quintic number fields. (English) Zbl 0822.11087 Math. Comput. 63, No. 207, 361-376 (1994). Reviewer: R.Schoof (Roma) MSC: 11Y40 11R21 PDF BibTeX XML Cite \textit{A. Schwarz} et al., Math. Comput. 63, No. 207, 361--376 (1994; Zbl 0822.11087) Full Text: DOI OpenURL
Ford, David; Pohst, Michael The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. (English) Zbl 0773.11067 Exp. Math. 1, No. 3, 231-235 (1992). Reviewer: H.Cohn (New York) MSC: 11R29 11R80 11Y40 11R21 PDF BibTeX XML Cite \textit{D. Ford} and \textit{M. Pohst}, Exp. Math. 1, No. 3, 231--235 (1992; Zbl 0773.11067) Full Text: DOI EuDML EMIS OpenURL
Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco The minimum discriminant of totally real octic fields. (English) Zbl 0719.11079 J. Number Theory 36, No. 2, 145-159 (1990). MSC: 11R80 11R29 11R27 PDF BibTeX XML Cite \textit{M. Pohst} et al., J. Number Theory 36, No. 2, 145--159 (1990; Zbl 0719.11079) Full Text: DOI OpenURL
Smyth, Christopher J. Totally positive algebraic integers of small trace. (English) Zbl 0534.12002 Ann. Inst. Fourier 34, No. 3, 1-28 (1984). Reviewer: Chris Smyth (Edinburgh) MSC: 11R04 11R80 PDF BibTeX XML Cite \textit{C. J. Smyth}, Ann. Inst. Fourier 34, No. 3, 1--28 (1984; Zbl 0534.12002) Full Text: DOI Numdam EuDML OpenURL
Fink, A. M.; Jodeit, Max jun. A generalization of the arithmetic geometric means inequality. (English) Zbl 0351.26022 Proc. Am. Math. Soc. 61(1976), 255-261 (1977). MSC: 26D20 26D15 PDF BibTeX XML Cite \textit{A. M. Fink} and \textit{M. Jodeit jun.}, Proc. Am. Math. Soc. 61, 255--261 (1977; Zbl 0351.26022) Full Text: DOI OpenURL
Dinghas, Alexander Zur Abschätzung arithmetischer Mittel reeller Zahlen durch Differenzenprodukte derselben. (German) Zbl 0052.25702 Rend. Circ. Mat. Palermo, II. Ser. 2, 177-202 (1953). PDF BibTeX XML Cite \textit{A. Dinghas}, Rend. Circ. Mat. Palermo (2) 2, 177--202 (1953; Zbl 0052.25702) Full Text: DOI OpenURL