Pirhadi, A. Real zeros of random cosine polynomials with palindromic blocks of coefficients. (English) Zbl 07399103 Anal. Math. 47, No. 1, 175-210 (2021). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C99 12D10 26C10 PDF BibTeX XML Cite \textit{A. Pirhadi}, Anal. Math. 47, No. 1, 175--210 (2021; Zbl 07399103) Full Text: DOI OpenURL
Sète, Olivier; Zur, Jan Number and location of pre-images under harmonic mappings in the plane. (English) Zbl 07394989 Ann. Fenn. Math. 46, No. 1, 225-247 (2021). MSC: 30C55 31A05 55M25 PDF BibTeX XML Cite \textit{O. Sète} and \textit{J. Zur}, Ann. Fenn. Math. 46, No. 1, 225--247 (2021; Zbl 07394989) Full Text: DOI OpenURL
Aljubran, Hanan; Yattselev, Maxim L. An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials. (English) Zbl 07393827 Rocky Mt. J. Math. 51, No. 4, 1171-1188 (2021). MSC: 26C10 30B20 30C15 PDF BibTeX XML Cite \textit{H. Aljubran} and \textit{M. L. Yattselev}, Rocky Mt. J. Math. 51, No. 4, 1171--1188 (2021; Zbl 07393827) Full Text: DOI OpenURL
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S. Accurate estimation of sums over zeros of the Riemann zeta-function. (English) Zbl 07390222 Math. Comput. 90, No. 332, 2923-2935 (2021). MSC: 11M06 11M26 11Y16 PDF BibTeX XML Cite \textit{R. P. Brent} et al., Math. Comput. 90, No. 332, 2923--2935 (2021; Zbl 07390222) Full Text: DOI OpenURL
Heittokangas, Janne M.; Wen, Zhi-Tao Generalization of Pólya’s zero distribution theory for exponential polynomials, and sharp results for asymptotic growth. (English) Zbl 07384639 Comput. Methods Funct. Theory 21, No. 2, 245-270 (2021). MSC: 30D15 30D35 PDF BibTeX XML Cite \textit{J. M. Heittokangas} and \textit{Z.-T. Wen}, Comput. Methods Funct. Theory 21, No. 2, 245--270 (2021; Zbl 07384639) Full Text: DOI OpenURL
Juškevičius, Tomas; Sahasrabudhe, Julian Cosine polynomials with few zeros. (English) Zbl 07381917 Bull. Lond. Math. Soc. 53, No. 3, 877-892 (2021). MSC: 42A05 11L03 30C15 60G99 PDF BibTeX XML Cite \textit{T. Juškevičius} and \textit{J. Sahasrabudhe}, Bull. Lond. Math. Soc. 53, No. 3, 877--892 (2021; Zbl 07381917) Full Text: DOI OpenURL
Gürtaş, Yusuf Z. Discriminants of quadratics generalized. (English) Zbl 07381237 Am. Math. Mon. 128, No. 7, 640-647 (2021). MSC: 11C08 26C10 30C15 PDF BibTeX XML Cite \textit{Y. Z. Gürtaş}, Am. Math. Mon. 128, No. 7, 640--647 (2021; Zbl 07381237) Full Text: DOI OpenURL
Kang, J. Y.; Ryoo, C. S. Some relationships between the \(q\)-cosine tangent polynomials and \(q\)-cosine other polynomials. (English) Zbl 07376917 J. Algebra Appl. Math. 19, No. 2, 131-144 (2021). MSC: 11B68 11B75 12D10 PDF BibTeX XML Cite \textit{J. Y. Kang} and \textit{C. S. Ryoo}, J. Algebra Appl. Math. 19, No. 2, 131--144 (2021; Zbl 07376917) OpenURL
Zaïmi, Toufik Comments on Salem polynomials. (English) Zbl 07371067 Arch. Math. 117, No. 1, 41-51 (2021). MSC: 11R06 12D10 11C08 30C15 PDF BibTeX XML Cite \textit{T. Zaïmi}, Arch. Math. 117, No. 1, 41--51 (2021; Zbl 07371067) Full Text: DOI OpenURL
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S. A harmonic sum over nontrivial zeros of the Riemann zeta-function. (English) Zbl 07369463 Bull. Aust. Math. Soc. 104, No. 1, 59-65 (2021). MSC: 11M26 11Y60 PDF BibTeX XML Cite \textit{R. P. Brent} et al., Bull. Aust. Math. Soc. 104, No. 1, 59--65 (2021; Zbl 07369463) Full Text: DOI OpenURL
Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten Sharper bounds for the Chebyshev function \(\theta (x)\). (English) Zbl 07369113 Math. Comput. 90, No. 331, 2281-2315 (2021). MSC: 11N05 11M06 11M26 PDF BibTeX XML Cite \textit{S. Broadbent} et al., Math. Comput. 90, No. 331, 2281--2315 (2021; Zbl 07369113) Full Text: DOI OpenURL
Bailleul, Alexandre Chebyshev’s bias in dihedral and generalized quaternion Galois groups. (English) Zbl 07365067 Algebra Number Theory 15, No. 4, 999-1041 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11N05 11K38 11M20 11R42 11R44 11R45 PDF BibTeX XML Cite \textit{A. Bailleul}, Algebra Number Theory 15, No. 4, 999--1041 (2021; Zbl 07365067) Full Text: DOI OpenURL
Sebbar, Ahmed; Gay, Roger Arithmetic and analysis of the series \(\sum_{n=1}^\infty \frac{1}{n} \sin \frac{x}{n}\). (English) Zbl 1462.11067 Complex Anal. Oper. Theory 15, No. 3, Paper No. 55, 29 p. (2021). MSC: 11M26 11K70 11K65 PDF BibTeX XML Cite \textit{A. Sebbar} and \textit{R. Gay}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 55, 29 p. (2021; Zbl 1462.11067) Full Text: DOI OpenURL
Nair, Radhakrishnan; Verger-Gaugry, Jean-Louis; Weber, Michel On good universality and the Riemann hypothesis. (English) Zbl 07358500 Adv. Math. 385, Article ID 107762, 37 p. (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 28D05 37A44 11M26 11M35 30D35 PDF BibTeX XML Cite \textit{R. Nair} et al., Adv. Math. 385, Article ID 107762, 37 p. (2021; Zbl 07358500) Full Text: DOI OpenURL
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 07349957 Acta Arith. 198, No. 3, 233-256 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R11 11R16 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 07349957) Full Text: DOI OpenURL
Lee, Ethan S. On an explicit zero-free region for the Dedekind zeta-function. (English) Zbl 07334490 J. Number Theory 224, 307-322 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11R44 11M06 11N13 11B25 PDF BibTeX XML Cite \textit{E. S. Lee}, J. Number Theory 224, 307--322 (2021; Zbl 07334490) Full Text: DOI OpenURL
Ounaies, M.; Rhin, G.; Sac-Épée, J.-M. On the relations between the zeros of a polynomial and its Mahler measure. (English) Zbl 1467.11094 J. Number Theory 224, 165-190 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11R04 11R09 12D10 PDF BibTeX XML Cite \textit{M. Ounaies} et al., J. Number Theory 224, 165--190 (2021; Zbl 1467.11094) Full Text: DOI OpenURL
Languasco, Alessandro Numerical verification of Littlewood’s bounds for \(|L(1,\chi)|\). (English) Zbl 07329220 J. Number Theory 223, 12-34 (2021). MSC: 11M20 11Y16 11Y99 33B15 PDF BibTeX XML Cite \textit{A. Languasco}, J. Number Theory 223, 12--34 (2021; Zbl 07329220) Full Text: DOI OpenURL
Bennett, Michael A.; Martin, Greg; O’bryant, Kevin; Rechnitzer, Andrew Counting zeros of Dirichlet \(L\)-functions. (English) Zbl 07328928 Math. Comput. 90, No. 329, 1455-1482 (2021). MSC: 11N13 11N37 11M20 11M26 11Y35 11Y40 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Math. Comput. 90, No. 329, 1455--1482 (2021; Zbl 07328928) Full Text: DOI OpenURL
Buhler, Joe; Golan, Shahar; Pratt, Rob; Wagon, Stan Littlewood polynomials, spectral-null codes, and equipowerful partitions. (English) Zbl 07328927 Math. Comput. 90, No. 329, 1435-1453 (2021). MSC: 11B83 12D10 94B05 11Y99 PDF BibTeX XML Cite \textit{J. Buhler} et al., Math. Comput. 90, No. 329, 1435--1453 (2021; Zbl 07328927) Full Text: DOI OpenURL
Carlet, Claude; Kim, Kwang Ho; Mesnager, Sihem A direct proof of APN-ness of the Kasami functions. (English) Zbl 07324375 Des. Codes Cryptography 89, No. 3, 441-446 (2021). Reviewer: Marco Calderini (Bergen) MSC: 11T71 11T06 12E20 PDF BibTeX XML Cite \textit{C. Carlet} et al., Des. Codes Cryptography 89, No. 3, 441--446 (2021; Zbl 07324375) Full Text: DOI OpenURL
Hare, Kevin G.; Jankauskas, Jonas On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. (English) Zbl 1461.11141 Math. Comput. 90, No. 328, 831-870 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R09 12D10 11C08 11B83 65H04 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{J. Jankauskas}, Math. Comput. 90, No. 328, 831--870 (2021; Zbl 1461.11141) Full Text: DOI OpenURL
Chinen, Koji On some families of invariant polynomials divisible by three and their zeta functions. (English) Zbl 1467.11119 Math. J. Okayama Univ. 63, 175-182 (2021). Reviewer: Carlos Munuera (Valladolid) MSC: 11T71 13A50 12D10 PDF BibTeX XML Cite \textit{K. Chinen}, Math. J. Okayama Univ. 63, 175--182 (2021; Zbl 1467.11119) Full Text: Link OpenURL
Cardinal, Jean-Paul; Overholt, Marius A variant of Möbius inversion. (English) Zbl 07330682 Exp. Math. 29, No. 3, 247-252 (2020). MSC: 11A25 11C20 11M26 PDF BibTeX XML Cite \textit{J.-P. Cardinal} and \textit{M. Overholt}, Exp. Math. 29, No. 3, 247--252 (2020; Zbl 07330682) Full Text: DOI OpenURL
Brilleslyper, Michael A. Unimodular roots of quadrinomials. (English) Zbl 1459.97001 Coll. Math. J. 51, No. 3, 219-221 (2020). MSC: 97F60 12D10 97H40 PDF BibTeX XML Cite \textit{M. A. Brilleslyper}, Coll. Math. J. 51, No. 3, 219--221 (2020; Zbl 1459.97001) Full Text: DOI OpenURL
Sodin, Sasha On the number of zeros of functions in analytic quasianalytic classes. (English) Zbl 1461.30083 J. Math. Phys. Anal. Geom. 16, No. 1, 55-65 (2020). MSC: 30D60 30C15 PDF BibTeX XML Cite \textit{S. Sodin}, J. Math. Phys. Anal. Geom. 16, No. 1, 55--65 (2020; Zbl 1461.30083) Full Text: DOI OpenURL
Khayutin, Ilya Non-vanishing of class group \(L\)-functions for number fields with a small regulator. (English) Zbl 07305889 Compos. Math. 156, No. 11, 2423-2436 (2020). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11M20 11R04 11M41 11E45 11F66 11F67 PDF BibTeX XML Cite \textit{I. Khayutin}, Compos. Math. 156, No. 11, 2423--2436 (2020; Zbl 07305889) Full Text: DOI OpenURL
Devin, Lucile Limiting properties of the distribution of primes in an arbitrarily large number of residue classes. (English) Zbl 1462.11061 Can. Math. Bull. 63, No. 4, 837-849 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K70 28C15 11M26 PDF BibTeX XML Cite \textit{L. Devin}, Can. Math. Bull. 63, No. 4, 837--849 (2020; Zbl 1462.11061) Full Text: DOI OpenURL
Hungerbuhler, Norbert; Wu, Rui An algorithm that localizes and counts the zeros of a \({C^2}\)-function. (English) Zbl 1463.30020 Numer. Math., Theory Methods Appl. 13, No. 2, 320-333 (2020). MSC: 30C15 PDF BibTeX XML Cite \textit{N. Hungerbuhler} and \textit{R. Wu}, Numer. Math., Theory Methods Appl. 13, No. 2, 320--333 (2020; Zbl 1463.30020) Full Text: DOI OpenURL
Dubickas, Artūras On the smallest integer vector at which a multivariable polynomial does not vanish. (English) Zbl 07273457 Math. Commun. 25, No. 2, 227-235 (2020). Reviewer: Stef Graillat (Paris) MSC: 11C08 12D10 PDF BibTeX XML Cite \textit{A. Dubickas}, Math. Commun. 25, No. 2, 227--235 (2020; Zbl 07273457) Full Text: Link OpenURL
Dubickas, Artūras Algebraic integers close to the unit circle. (English) Zbl 07272355 Mosc. J. Comb. Number Theory 9, No. 4, 361-370 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 12D10 PDF BibTeX XML Cite \textit{A. Dubickas}, Mosc. J. Comb. Number Theory 9, No. 4, 361--370 (2020; Zbl 07272355) Full Text: DOI OpenURL
Kazarnovskii, B. Ya. Average number of roots of systems of equations. (English. Russian original) Zbl 1450.52005 Funct. Anal. Appl. 54, No. 2, 100-109 (2020); translation from Funkts. Anal. Prilozh. 54, No. 2, 35-47 (2020). MSC: 52A39 53C60 22E45 PDF BibTeX XML Cite \textit{B. Ya. Kazarnovskii}, Funct. Anal. Appl. 54, No. 2, 100--109 (2020; Zbl 1450.52005); translation from Funkts. Anal. Prilozh. 54, No. 2, 35--47 (2020) Full Text: DOI OpenURL
Pirhadi, Ali Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients. (English) Zbl 1461.30027 Rocky Mt. J. Math. 50, No. 4, 1451-1471 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C99 12D10 26C10 PDF BibTeX XML Cite \textit{A. Pirhadi}, Rocky Mt. J. Math. 50, No. 4, 1451--1471 (2020; Zbl 1461.30027) Full Text: DOI Euclid OpenURL
Zaïmi, Toufik A remark on an algorithm for testing Pisot polynomials. (English) Zbl 1463.11096 Publ. Math. 96, No. 3-4, 423-426 (2020). Reviewer: Cornelius Greither (Neubiberg) MSC: 11C08 30C15 PDF BibTeX XML Cite \textit{T. Zaïmi}, Publ. Math. 96, No. 3--4, 423--426 (2020; Zbl 1463.11096) Full Text: DOI OpenURL
Corley, Christopher; Ledoan, Andrew The density of complex zeros of random sums. (English) Zbl 1450.30016 J. Approx. Theory 258, Article ID 105461, 24 p. (2020). MSC: 30C15 30B20 PDF BibTeX XML Cite \textit{C. Corley} and \textit{A. Ledoan}, J. Approx. Theory 258, Article ID 105461, 24 p. (2020; Zbl 1450.30016) Full Text: DOI OpenURL
Chapoton, Frédéric; Han, Guo-Niu On the roots of the Poupard and Kreweras polynomials. (English) Zbl 1448.26020 Mosc. J. Comb. Number Theory 9, No. 2, 163-172 (2020). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 11B68 11B83 39A70 47B39 PDF BibTeX XML Cite \textit{F. Chapoton} and \textit{G.-N. Han}, Mosc. J. Comb. Number Theory 9, No. 2, 163--172 (2020; Zbl 1448.26020) Full Text: DOI OpenURL
Barbarani, Vito A quantum model of the distribution of prime numbers and the Riemann hypothesis. (English) Zbl 1441.82016 Int. J. Theor. Phys. 59, No. 8, 2425-2470 (2020). MSC: 82C22 11B39 11N05 11M26 81V70 PDF BibTeX XML Cite \textit{V. Barbarani}, Int. J. Theor. Phys. 59, No. 8, 2425--2470 (2020; Zbl 1441.82016) Full Text: DOI OpenURL
Chinen, Koji On some families of certain divisible polynomials and their zeta functions. (English) Zbl 1467.11118 Tokyo J. Math. 43, No. 1, 1-23 (2020). Reviewer: Carlos Munuera (Valladolid) MSC: 11T71 13A50 12D10 PDF BibTeX XML Cite \textit{K. Chinen}, Tokyo J. Math. 43, No. 1, 1--23 (2020; Zbl 1467.11118) Full Text: DOI Euclid OpenURL
Losonczi, László Remarks to a theorem of Sinclair and Vaaler. (English) Zbl 1450.30017 Math. Inequal. Appl. 23, No. 2, 647-652 (2020). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C15 12D10 42C05 11C08 PDF BibTeX XML Cite \textit{L. Losonczi}, Math. Inequal. Appl. 23, No. 2, 647--652 (2020; Zbl 1450.30017) Full Text: DOI OpenURL
Musin, Oleg R. Ramanujan’s theorem and highest abundant numbers. (English) Zbl 1445.11098 Arnold Math. J. 6, No. 1, 119-130 (2020). MSC: 11N25 11M26 PDF BibTeX XML Cite \textit{O. R. Musin}, Arnold Math. J. 6, No. 1, 119--130 (2020; Zbl 1445.11098) Full Text: DOI OpenURL
Poláčik, Peter Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on \(\mathbb{R}\). (English) Zbl 1450.35002 Memoirs of the American Mathematical Society 1278. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4112-8/pbk; 978-1-4704-5806-5/ebook). v, 87 p. (2020). Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy) MSC: 35-02 35K15 35B40 35B35 35B05 35K57 PDF BibTeX XML Cite \textit{P. Poláčik}, Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on \(\mathbb{R}\). Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1450.35002) Full Text: DOI OpenURL
Dubickas, Artūras On the distance between two algebraic numbers. (English) Zbl 07209887 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3049-3064 (2020). MSC: 11C08 11R09 12D10 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3049--3064 (2020; Zbl 07209887) Full Text: DOI OpenURL
Dolinar, G.; Kuzma, B.; Stopar, N. The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras. (English) Zbl 07209525 Commun. Algebra 48, No. 6, 2274-2292 (2020). MSC: 17C55 15A99 05C15 PDF BibTeX XML Cite \textit{G. Dolinar} et al., Commun. Algebra 48, No. 6, 2274--2292 (2020; Zbl 07209525) Full Text: DOI OpenURL
Baxa, C. Book review of: K. Thas (ed.), Absolute arithmetic and \(\mathbb{F}_1\)-geometry. (English) Zbl 1435.00012 Monatsh. Math. 192, No. 2, 479 (2020). MSC: 00A17 14-02 11-02 14A15 14A20 14A22 14G15 13F35 11M26 14G40 19E08 00B15 PDF BibTeX XML Cite \textit{C. Baxa}, Monatsh. Math. 192, No. 2, 479 (2020; Zbl 1435.00012) Full Text: DOI OpenURL
Poláčik, P. Entire solutions and a Liouville theorem for a class of parabolic equations on the real line. (English) Zbl 1448.35304 Proc. Am. Math. Soc. 148, No. 7, 2997-3008 (2020). MSC: 35K57 35B40 35B05 PDF BibTeX XML Cite \textit{P. Poláčik}, Proc. Am. Math. Soc. 148, No. 7, 2997--3008 (2020; Zbl 1448.35304) Full Text: DOI OpenURL
Liu, Changjian; Xiao, Dongmei The smallest upper bound on the number of zeros of abelian integrals. (English) Zbl 1464.34057 J. Differ. Equations 269, No. 4, 3816-3852 (2020). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 PDF BibTeX XML Cite \textit{C. Liu} and \textit{D. Xiao}, J. Differ. Equations 269, No. 4, 3816--3852 (2020; Zbl 1464.34057) Full Text: DOI OpenURL
Martin, Greg; Ng, Nathan Inclusive prime number races. (English) Zbl 07189076 Trans. Am. Math. Soc. 373, No. 5, 3561-3607 (2020). Reviewer: Kaisa Matomäki (Turku) MSC: 11N13 11M26 11K99 60F05 11J71 PDF BibTeX XML Cite \textit{G. Martin} and \textit{N. Ng}, Trans. Am. Math. Soc. 373, No. 5, 3561--3607 (2020; Zbl 07189076) Full Text: DOI OpenURL
Yang, Liyang An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields. (English) Zbl 07179051 Pac. J. Math. 304, No. 1, 347-384 (2020). MSC: 11G15 11G35 11M20 11R29 11R42 PDF BibTeX XML Cite \textit{L. Yang}, Pac. J. Math. 304, No. 1, 347--384 (2020; Zbl 07179051) Full Text: DOI OpenURL
Flasche, Hendrik; Kabluchko, Zakhar Real zeroes of random analytic functions associated with geometries of constant curvature. (English) Zbl 1439.30017 J. Theor. Probab. 33, No. 1, 103-133 (2020). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 30C15 60F17 60F05 60G15 PDF BibTeX XML Cite \textit{H. Flasche} and \textit{Z. Kabluchko}, J. Theor. Probab. 33, No. 1, 103--133 (2020; Zbl 1439.30017) Full Text: DOI OpenURL
Erdélyi, Tamás Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set. (English) Zbl 1464.12003 Acta Arith. 192, No. 2, 189-210 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 12D10 26C10 11C08 30C10 30C15 41A17 PDF BibTeX XML Cite \textit{T. Erdélyi}, Acta Arith. 192, No. 2, 189--210 (2020; Zbl 1464.12003) Full Text: DOI arXiv OpenURL
Kline, Jeffery On the eigenstructure of sparse matrices related to the prime number theorem. (English) Zbl 1427.15014 Linear Algebra Appl. 584, 409-430 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 11A41 11M26 65F50 PDF BibTeX XML Cite \textit{J. Kline}, Linear Algebra Appl. 584, 409--430 (2020; Zbl 1427.15014) Full Text: DOI OpenURL
Stolarsky, Kenneth B. Twin composites, strange continued fractions, and a transformation that Euler missed (Twice). (English) Zbl 1431.11014 Ann. Comb. 23, No. 3-4, 1087-1104 (2019). MSC: 11A55 11C08 11R32 12D05 12D10 PDF BibTeX XML Cite \textit{K. B. Stolarsky}, Ann. Comb. 23, No. 3--4, 1087--1104 (2019; Zbl 1431.11014) Full Text: DOI OpenURL
Vellucci, Pierluigi; Bersani, Alberto Maria \(\pi\)-formulas and Gray code. (English) Zbl 1442.40002 Ric. Mat. 68, No. 2, 551-569 (2019). MSC: 40A25 33C45 11Y60 PDF BibTeX XML Cite \textit{P. Vellucci} and \textit{A. M. Bersani}, Ric. Mat. 68, No. 2, 551--569 (2019; Zbl 1442.40002) Full Text: DOI OpenURL
Breuillard, Emmanuel; Varjú, Péter P. Irreducibility of random polynomials of large degree. (English) Zbl 1459.11079 Acta Math. 223, No. 2, 195-249 (2019). MSC: 11C08 12D10 11R42 60J10 PDF BibTeX XML Cite \textit{E. Breuillard} and \textit{P. P. Varjú}, Acta Math. 223, No. 2, 195--249 (2019; Zbl 1459.11079) Full Text: DOI arXiv OpenURL
Kochubei, Anatoly N. Book review of: A. Unterberger, Pseudodifferential methods in number theory. (English) Zbl 1427.00007 Eur. Math. Soc. Newsl. 114, 53 (2019). MSC: 00A17 11-02 11M06 11M26 11S80 35S05 47G30 PDF BibTeX XML Cite \textit{A. N. Kochubei}, Eur. Math. Soc. Newsl. 114, 53 (2019; Zbl 1427.00007) OpenURL
Bell, Jason P. The Skolem-Mahler-Lech theorem. (English) Zbl 1451.11004 Doc. Math. Extra Vol., Mahler Selecta, 173-178 (2019). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11-03 11B37 PDF BibTeX XML Cite \textit{J. P. Bell}, Doc. Math. Extra Vol., 173--178 (2019; Zbl 1451.11004) Full Text: DOI OpenURL
Louboutin, Stéphane R. On the denominator of Dedekind sums. (English) Zbl 1435.11076 Bull. Korean Math. Soc. 56, No. 4, 815-827 (2019). MSC: 11F20 11M20 11R29 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Bull. Korean Math. Soc. 56, No. 4, 815--827 (2019; Zbl 1435.11076) Full Text: DOI OpenURL
Kaddoura, Issam; Mourad, Bassam On a class of matrices generated by certain generalized permutation matrices and applications. (English) Zbl 1425.15038 Linear Multilinear Algebra 67, No. 10, 2117-2134 (2019). MSC: 15B99 15A18 15A29 12D10 11C20 PDF BibTeX XML Cite \textit{I. Kaddoura} and \textit{B. Mourad}, Linear Multilinear Algebra 67, No. 10, 2117--2134 (2019; Zbl 1425.15038) Full Text: DOI OpenURL
Stoimenov, Alexander Hoste’s conjecture and roots of the Alexander polynomial. (English) Zbl 1423.57021 Adams, Colin C. (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016. Cham: Springer. Springer Proc. Math. Stat. 284, 191-206 (2019). MSC: 57M25 57-02 13F20 11C08 12D10 PDF BibTeX XML Cite \textit{A. Stoimenov}, Springer Proc. Math. Stat. 284, 191--206 (2019; Zbl 1423.57021) Full Text: DOI OpenURL
Lou, Bendong The zero number diminishing property under general boundary conditions. (English) Zbl 1447.35176 Appl. Math. Lett. 95, 41-47 (2019). MSC: 35K20 35B05 PDF BibTeX XML Cite \textit{B. Lou}, Appl. Math. Lett. 95, 41--47 (2019; Zbl 1447.35176) Full Text: DOI OpenURL
Aymone, Marco Real zeros of random Dirichlet series. (English) Zbl 1422.60072 Electron. Commun. Probab. 24, Paper No. 54, 8 p. (2019). MSC: 60G50 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 PDF BibTeX XML Cite \textit{M. Aymone}, Electron. Commun. Probab. 24, Paper No. 54, 8 p. (2019; Zbl 1422.60072) Full Text: DOI Euclid arXiv OpenURL
Mahnkopf, J. Book review of: K. Broughan, Equivalents of the Riemann hypothesis. Volume 2: Analytic equivalents. (English) Zbl 1435.00031 Monatsh. Math. 190, No. 2, 406 (2019). MSC: 00A17 11-02 11M26 11N05 11N25 PDF BibTeX XML Cite \textit{J. Mahnkopf}, Monatsh. Math. 190, No. 2, 406 (2019; Zbl 1435.00031) Full Text: DOI OpenURL
Lichtman, Jared Duker; Martin, Greg; Pomerance, Carl Primes in prime number races. (English) Zbl 07102537 Proc. Am. Math. Soc. 147, No. 9, 3743-3757 (2019). MSC: 11A05 11N05 11B83 11M26 PDF BibTeX XML Cite \textit{J. D. Lichtman} et al., Proc. Am. Math. Soc. 147, No. 9, 3743--3757 (2019; Zbl 07102537) Full Text: DOI OpenURL
Wu, Xiaosheng; Zhao, Lilu On simple zeros of the Dedekind zeta-function of a quadratic number field. (English) Zbl 1429.11205 Mathematika 65, No. 4, 851-861 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M06 11M26 PDF BibTeX XML Cite \textit{X. Wu} and \textit{L. Zhao}, Mathematika 65, No. 4, 851--861 (2019; Zbl 1429.11205) Full Text: DOI OpenURL
Karagulyan, Davit On certain aspects of the Möbius randomness principle. (English) Zbl 07087849 Colloq. Math. 157, No. 2, 231-250 (2019). MSC: 37A45 37B10 11M26 PDF BibTeX XML Cite \textit{D. Karagulyan}, Colloq. Math. 157, No. 2, 231--250 (2019; Zbl 07087849) Full Text: DOI OpenURL
Haglund, James; Zhang, Philip B. Real-rootedness of variations of Eulerian polynomials. (English) Zbl 1415.05016 Adv. Appl. Math. 109, 38-54 (2019). MSC: 05A15 26C10 52B05 11B68 PDF BibTeX XML Cite \textit{J. Haglund} and \textit{P. B. Zhang}, Adv. Appl. Math. 109, 38--54 (2019; Zbl 1415.05016) Full Text: DOI arXiv OpenURL
Ford, Kevin; Harper, Adam J.; Lamzouri, Youness Extreme biases in prime number races with many contestants. (English) Zbl 1451.11102 Math. Ann. 374, No. 1-2, 517-551 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11N13 11K99 11M26 PDF BibTeX XML Cite \textit{K. Ford} et al., Math. Ann. 374, No. 1--2, 517--551 (2019; Zbl 1451.11102) Full Text: DOI arXiv OpenURL
An, Li-Xiang; Lau, Ka-Sing Characterization of a class of planar self-affine tile digit sets. (English) Zbl 1462.11021 Trans. Am. Math. Soc. 371, No. 11, 7627-7650 (2019). MSC: 11B75 52C22 11A63 28A80 PDF BibTeX XML Cite \textit{L.-X. An} and \textit{K.-S. Lau}, Trans. Am. Math. Soc. 371, No. 11, 7627--7650 (2019; Zbl 1462.11021) Full Text: DOI OpenURL
Li, Wen-Ching Winnie Zeta and \(L\)-functions in number theory and combinatorics. (English) Zbl 07045715 CBMS Regional Conference Series in Mathematics 129. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (ISBN 978-1-4704-4900-1/pbk; 978-1-4704-5192-9/ebook). vii, 95 p. (2019). MSC: 11-02 11M26 11M36 11R42 11S40 PDF BibTeX XML Cite \textit{W.-C. W. Li}, Zeta and $L$-functions in number theory and combinatorics. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (2019; Zbl 07045715) Full Text: DOI OpenURL
Shemehsavar, Soudabeh On real zeros of self-similar random Gaussian polynomials with decreasing variances: apparition of a phase transition. (English) Zbl 07040773 Bull. Iran. Math. Soc. 45, No. 1, 239-255 (2019). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65H04 PDF BibTeX XML Cite \textit{S. Shemehsavar}, Bull. Iran. Math. Soc. 45, No. 1, 239--255 (2019; Zbl 07040773) Full Text: DOI OpenURL
Angst, Jürgen; Dalmao, Federico; Poly, Guillaume On the real zeros of random trigonometric polynomials with dependent coefficients. (English) Zbl 1406.26007 Proc. Am. Math. Soc. 147, No. 1, 205-214 (2019). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 42A05 12D10 30C15 PDF BibTeX XML Cite \textit{J. Angst} et al., Proc. Am. Math. Soc. 147, No. 1, 205--214 (2019; Zbl 1406.26007) Full Text: DOI OpenURL
Aljubran, Hanan; Yattselev, Maxim L. An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC. (English) Zbl 1401.60102 J. Math. Anal. Appl. 469, No. 1, 428-446 (2019). MSC: 60G99 33C47 PDF BibTeX XML Cite \textit{H. Aljubran} and \textit{M. L. Yattselev}, J. Math. Anal. Appl. 469, No. 1, 428--446 (2019; Zbl 1401.60102) Full Text: DOI arXiv OpenURL
Huxley, Martin; Watt, Nigel Mertens sums requiring fewer values of the Möbius function. (English) Zbl 1441.15006 Chebyshevskiĭ Sb. 19, No. 3(67), 20-34 (2018). Reviewer: Carlos M. da Fonseca (Safat) MSC: 15A18 11A25 11C20 11M26 PDF BibTeX XML Cite \textit{M. Huxley} and \textit{N. Watt}, Chebyshevskiĭ Sb. 19, No. 3(67), 20--34 (2018; Zbl 1441.15006) Full Text: DOI MNR OpenURL
Gasarch, William; Washington, Lawrence C.; Zbarsky, Samuel The coefficient-choosing game. (English) Zbl 1445.91012 J. Comb. Number Theory 10, No. 1, 1-17 (2018). MSC: 91A46 91A05 11C08 12D10 PDF BibTeX XML Cite \textit{W. Gasarch} et al., J. Comb. Number Theory 10, No. 1, 1--17 (2018; Zbl 1445.91012) Full Text: Link OpenURL
Dahl, Alexander; Kala, Vítězslav Distribution of class numbers in continued fraction families of real quadratic fields. (English) Zbl 1441.11279 Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 1193-1212 (2018). MSC: 11R29 11R11 11M20 11A55 PDF BibTeX XML Cite \textit{A. Dahl} and \textit{V. Kala}, Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 1193--1212 (2018; Zbl 1441.11279) Full Text: DOI arXiv OpenURL
Hungerbühler, Norbert; Wasem, Micha An integral that counts the zeros of a function. (English) Zbl 1419.30004 Open Math. 16, 1621-1633 (2018). MSC: 30C15 PDF BibTeX XML Cite \textit{N. Hungerbühler} and \textit{M. Wasem}, Open Math. 16, 1621--1633 (2018; Zbl 1419.30004) Full Text: DOI OpenURL
Celaya, Marcel On the linear span of lattice points in a parallelepiped. (English) Zbl 1438.52030 Combinatorica 38, No. 6, 1385-1413 (2018). Reviewer: Martin Henk (Berlin) MSC: 52B20 52B05 11M20 PDF BibTeX XML Cite \textit{M. Celaya}, Combinatorica 38, No. 6, 1385--1413 (2018; Zbl 1438.52030) Full Text: DOI OpenURL
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew Explicit bounds for primes in arithmetic progressions. (English) Zbl 1440.11180 Ill. J. Math. 62, No. 1-4, 427-532 (2018). MSC: 11N13 11N37 11M20 11M26 11Y35 11Y40 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Ill. J. Math. 62, No. 1--4, 427--532 (2018; Zbl 1440.11180) Full Text: DOI Euclid arXiv OpenURL
Shparlinski, Igor E. On the Győry-Sárközy-Stewart conjecture in function fields. (English) Zbl 07031698 Czech. Math. J. 68, No. 4, 1067-1077 (2018). MSC: 11R09 11S05 12E05 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Czech. Math. J. 68, No. 4, 1067--1077 (2018; Zbl 07031698) Full Text: DOI OpenURL
Akhiezer, Dmitri; Kazarnovskii, Boris Average number of zeros and mixed symplectic volume of Finsler sets. (English) Zbl 1414.52004 Geom. Funct. Anal. 28, No. 6, 1517-1547 (2018). Reviewer: Zdeněk Dušek (Ceske Budejovice) MSC: 52A39 53C30 PDF BibTeX XML Cite \textit{D. Akhiezer} and \textit{B. Kazarnovskii}, Geom. Funct. Anal. 28, No. 6, 1517--1547 (2018; Zbl 1414.52004) Full Text: DOI OpenURL
McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194 J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q99 65H20 65H10 68W30 26C10 PDF BibTeX XML Cite \textit{T. M. McCoy} et al., J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018; Zbl 1408.14194) Full Text: DOI OpenURL
Feldheim, Naomi Dvora Variance of the number of zeroes of shift-invariant Gaussian analytic functions. (English) Zbl 1430.60039 Isr. J. Math. 227, No. 2, 753-792 (2018). Reviewer: Mátyás Barczy (Debrecen) MSC: 60G15 30C15 30B20 PDF BibTeX XML Cite \textit{N. D. Feldheim}, Isr. J. Math. 227, No. 2, 753--792 (2018; Zbl 1430.60039) Full Text: DOI OpenURL
O’Shea, Donal Book review of: B. Mazur and W. Stein, Prime numbers and the Riemann hypothesis. (English) Zbl 1398.00022 Notices Am. Math. Soc. 65, No. 7, 811-815 (2018). MSC: 00A17 11-02 11M26 11N05 11A41 PDF BibTeX XML Cite \textit{D. O'Shea}, Notices Am. Math. Soc. 65, No. 7, 811--815 (2018; Zbl 1398.00022) Full Text: DOI OpenURL
Erdélyi, Tamás Improved lower bound for the Mahler measure of the Fekete polynomials. (English) Zbl 1457.11144 Constr. Approx. 48, No. 2, 283-299 (2018). MSC: 11R06 41A17 30C15 PDF BibTeX XML Cite \textit{T. Erdélyi}, Constr. Approx. 48, No. 2, 283--299 (2018; Zbl 1457.11144) Full Text: DOI OpenURL
Liesen, Jörg; Zur, Jan The maximum number of zeros of \(r(z) - \overline{z}\) revisited. (English) Zbl 1401.31004 Comput. Methods Funct. Theory 18, No. 3, 463-472 (2018). MSC: 31A05 PDF BibTeX XML Cite \textit{J. Liesen} and \textit{J. Zur}, Comput. Methods Funct. Theory 18, No. 3, 463--472 (2018; Zbl 1401.31004) Full Text: DOI OpenURL
Roquette, Peter The Riemann hypothesis in characteristic \(p\) in historical perspective. (English) Zbl 1414.11003 Lecture Notes in Mathematics 2222. History of Mathematics Subseries. Cham: Springer (ISBN 978-3-319-99066-8/pbk; 978-3-319-99067-5/ebook). ix, 233 p. (2018). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11-02 11-03 14-03 11R58 11M26 01A60 01A80 14G10 14H05 PDF BibTeX XML Cite \textit{P. Roquette}, The Riemann hypothesis in characteristic \(p\) in historical perspective. Cham: Springer (2018; Zbl 1414.11003) Full Text: DOI OpenURL
Nazardonyavi, Sadegh Improved explicit bounds for some functions of prime numbers. (English) Zbl 1440.11177 Funct. Approximatio, Comment. Math. 58, No. 1, 7-22 (2018). MSC: 11N05 11A41 11M26 11K65 PDF BibTeX XML Cite \textit{S. Nazardonyavi}, Funct. Approximatio, Comment. Math. 58, No. 1, 7--22 (2018; Zbl 1440.11177) Full Text: DOI Euclid OpenURL
Puig, Pedro; Kokonendji, Célestin C. Non-parametric estimation of the number of zeros in truncated count distributions. (English) Zbl 1407.62125 Scand. J. Stat. 45, No. 2, 347-365 (2018). Reviewer: Jonas Šiaulys (Vilnius) MSC: 62G07 62E15 PDF BibTeX XML Cite \textit{P. Puig} and \textit{C. C. Kokonendji}, Scand. J. Stat. 45, No. 2, 347--365 (2018; Zbl 1407.62125) Full Text: DOI OpenURL
Stoimenow, A. Hoste’s conjecture and roots of link polynomials. (English) Zbl 1397.57019 Ann. Comb. 22, No. 2, 393-431 (2018). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M25 13F20 11C08 12D10 PDF BibTeX XML Cite \textit{A. Stoimenow}, Ann. Comb. 22, No. 2, 393--431 (2018; Zbl 1397.57019) Full Text: DOI OpenURL
Unterberger, André Pseudodifferential methods in number theory. (English) Zbl 1411.11004 Pseudo Differential Operators. Theory and Applications 13. Cham: Birkhäuser (ISBN 978-3-319-92706-0/pbk; 978-3-319-92707-7/ebook). vi, 171 p. (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11M06 11M26 11S80 35S05 47G30 PDF BibTeX XML Cite \textit{A. Unterberger}, Pseudodifferential methods in number theory. Cham: Birkhäuser (2018; Zbl 1411.11004) Full Text: DOI OpenURL
Ash, Avner Book review of: B. Mazur and W. Stein, Prime numbers and the Riemann hypothesis. (English) Zbl 1410.00010 Am. Math. Mon. 125, No. 5, 476-480 (2018). MSC: 00A17 11-02 11M26 11N05 11A41 PDF BibTeX XML Cite \textit{A. Ash}, Am. Math. Mon. 125, No. 5, 476--480 (2018; Zbl 1410.00010) Full Text: DOI OpenURL
Hou, Xiang-Dong Lectures on finite fields. (English) Zbl 1414.11001 Graduate Studies in Mathematics 190. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4289-7/hbk; 978-1-4704-4727-4/ebook). x, 229 p. (2018). Reviewer: Lucas da Silva Reis (Belo Horizonte) MSC: 11-01 11T06 11T23 12E20 PDF BibTeX XML Cite \textit{X.-D. Hou}, Lectures on finite fields. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1414.11001) Full Text: DOI OpenURL
Sarnak, Peter Book review of: B. Mazur and W. Stein, Prime numbers and the Riemann hypothesis. (English) Zbl 1392.00038 Bull. Am. Math. Soc., New Ser. 55, No. 3, 399-400 (2018). MSC: 00A17 11-02 11M26 11N05 11A41 PDF BibTeX XML Cite \textit{P. Sarnak}, Bull. Am. Math. Soc., New Ser. 55, No. 3, 399--400 (2018; Zbl 1392.00038) Full Text: DOI OpenURL
Liu, Changjian; Chen, Guoting; Sun, Zhongqin New criteria for the monotonicity of the ratio of two abelian integrals. (English) Zbl 1439.34038 J. Math. Anal. Appl. 465, No. 1, 220-234 (2018). MSC: 34C08 37J40 PDF BibTeX XML Cite \textit{C. Liu} et al., J. Math. Anal. Appl. 465, No. 1, 220--234 (2018; Zbl 1439.34038) Full Text: DOI OpenURL
Bober, Jonathan W.; Hiary, Ghaith A. New computations of the Riemann zeta function on the critical line. (English) Zbl 1442.11172 Exp. Math. 27, No. 2, 125-137 (2018). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y35 65Y20 11Y16 11M06 11M26 PDF BibTeX XML Cite \textit{J. W. Bober} and \textit{G. A. Hiary}, Exp. Math. 27, No. 2, 125--137 (2018; Zbl 1442.11172) Full Text: DOI arXiv OpenURL
Byeon, Dongho; Kim, Jigu An explicit lower bound for special values of Dirichlet \(L\)-functions. (English) Zbl 1434.11181 J. Number Theory 189, 272-303 (2018). MSC: 11M20 11R29 11R11 PDF BibTeX XML Cite \textit{D. Byeon} and \textit{J. Kim}, J. Number Theory 189, 272--303 (2018; Zbl 1434.11181) Full Text: DOI OpenURL
Büthe, Jan An analytic method for bounding \(\psi (x)\). (English) Zbl 1450.11095 Math. Comput. 87, No. 312, 1991-2009 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N05 11M26 PDF BibTeX XML Cite \textit{J. Büthe}, Math. Comput. 87, No. 312, 1991--2009 (2018; Zbl 1450.11095) Full Text: DOI arXiv OpenURL
Baker, Simon; Yu, Han Root sets of polynomials and power series with finite choices of coefficients. (English) Zbl 1388.30006 Comput. Methods Funct. Theory 18, No. 1, 89-97 (2018). MSC: 30C15 30B30 11C08 PDF BibTeX XML Cite \textit{S. Baker} and \textit{H. Yu}, Comput. Methods Funct. Theory 18, No. 1, 89--97 (2018; Zbl 1388.30006) Full Text: DOI arXiv OpenURL
Louboutin, Stéphane R. Upper bounds on \(L(1,\chi)\) taking into account a finite set of prime ideals. (English) Zbl 1422.11230 Acta Arith. 182, No. 3, 249-269 (2018). MSC: 11R42 11M20 11R29 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 182, No. 3, 249--269 (2018; Zbl 1422.11230) Full Text: DOI OpenURL
Harper, Adam J.; Lamzouri, Youness Orderings of weakly correlated random variables, and prime number races with many contestants. (English) Zbl 1445.11096 Probab. Theory Relat. Fields 170, No. 3-4, 961-1010 (2018). MSC: 11N13 11N69 11M26 60G15 PDF BibTeX XML Cite \textit{A. J. Harper} and \textit{Y. Lamzouri}, Probab. Theory Relat. Fields 170, No. 3--4, 961--1010 (2018; Zbl 1445.11096) Full Text: DOI arXiv OpenURL