Hu, Fei; Truong, Tuyen Trung An inequality on polarized endomorphisms. (English) Zbl 1504.14048 Arch. Math. 120, No. 1, 27-34 (2023). MSC: 14G17 14C25 14F20 37P25 14K15 PDFBibTeX XMLCite \textit{F. Hu} and \textit{T. T. Truong}, Arch. Math. 120, No. 1, 27--34 (2023; Zbl 1504.14048) Full Text: DOI arXiv
Rome, Nick; Sofos, Efthymios Asymptotics of the \(k\)-free diffraction measure via discretisation. (English) Zbl 1486.11098 Bull. Lond. Math. Soc. 53, No. 3, 686-694 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K65 11A25 11N25 37A44 60G55 52C23 PDFBibTeX XMLCite \textit{N. Rome} and \textit{E. Sofos}, Bull. Lond. Math. Soc. 53, No. 3, 686--694 (2021; Zbl 1486.11098) Full Text: DOI arXiv
Nair, Radhakrishnan; Verger-Gaugry, Jean-Louis; Weber, Michel On good universality and the Riemann hypothesis. (English) Zbl 1472.11232 Adv. Math. 385, Article ID 107762, 37 p. (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 28D05 37A44 11M26 11M35 30D35 PDFBibTeX XMLCite \textit{R. Nair} et al., Adv. Math. 385, Article ID 107762, 37 p. (2021; Zbl 1472.11232) Full Text: DOI arXiv HAL
Ren, Rufei Iteration of polynomials \(AX^d + C\) over finite fields. (English) Zbl 1453.37093 J. Number Theory 214, 326-347 (2020). MSC: 37P05 11T06 11G20 PDFBibTeX XMLCite \textit{R. Ren}, J. Number Theory 214, 326--347 (2020; Zbl 1453.37093) Full Text: DOI arXiv
Karagulyan, Davit On certain aspects of the Möbius randomness principle. (English) Zbl 1484.37007 Colloq. Math. 157, No. 2, 231-250 (2019). MSC: 37A44 11K31 PDFBibTeX XMLCite \textit{D. Karagulyan}, Colloq. Math. 157, No. 2, 231--250 (2019; Zbl 1484.37007) Full Text: DOI Link
Kawahira, Tomoki The Riemann hypothesis and holomorphic index in complex dynamics. (English) Zbl 1441.11215 Exp. Math. 27, No. 1, 37-46 (2018). MSC: 11M26 37F99 PDFBibTeX XMLCite \textit{T. Kawahira}, Exp. Math. 27, No. 1, 37--46 (2018; Zbl 1441.11215) Full Text: DOI arXiv
Elaissaoui, Lahoucine; El-Abidine Guennoun, Zine On logarithmic integrals of the Riemann zeta-function and an approach to the Riemann hypothesis by a geometric mean with respect to an ergodic transformation. (English) Zbl 1359.11073 Eur. J. Math. 1, No. 4, 829-847 (2015). MSC: 11M26 11K06 11K31 37A45 PDFBibTeX XMLCite \textit{L. Elaissaoui} and \textit{Z. El-Abidine Guennoun}, Eur. J. Math. 1, No. 4, 829--847 (2015; Zbl 1359.11073) Full Text: DOI
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. (English) Zbl 1261.28011 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-1-4614-2175-7/hbk; 978-1-4614-2176-4/ebook). xxvi, 567 p. (2013). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 11-02 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. New York, NY: Springer (2013; Zbl 1261.28011) Full Text: DOI
Steuding, Jörn Sampling the Lindelöf hypothesis with an ergodic transformation. (English) Zbl 1329.11090 RIMS Kôkyûroku Bessatsu B34, 361-381 (2012). MSC: 11M06 11K31 37A45 PDFBibTeX XMLCite \textit{J. Steuding}, RIMS Kôkyûroku Bessatsu B34, 361--381 (2012; Zbl 1329.11090)
Dettmann, Carl P. New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis. (English) Zbl 1235.82061 J. Stat. Phys. 146, No. 1, 181-204 (2012). MSC: 82C40 37A50 60J60 PDFBibTeX XMLCite \textit{C. P. Dettmann}, J. Stat. Phys. 146, No. 1, 181--204 (2012; Zbl 1235.82061) Full Text: DOI arXiv
Pollicott, Mark Dynamical zeta functions and closed orbits for geodesic and hyperbolic flows. 2nd printing. (English) Zbl 1124.37013 Cartier, Pierre (ed.) et al., Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems. Papers from the meeting, Les Houches, France, March 9–21, 2003. Berlin: Springer (ISBN 978-3-540-23189-9/hbk). 379-398 (2006). Reviewer: Jerzy Ombach (Kraków) MSC: 37C30 37D20 37D40 PDFBibTeX XMLCite \textit{M. Pollicott}, in: Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems. Papers from the meeting, Les Houches, France, March 9--21, 2003. Berlin: Springer. 379--398 (2006; Zbl 1124.37013)
Lagarias, Jeffrey C. The Riemann hypothesis: arithmetic and geometry. (English) Zbl 1119.11051 Higson, Nigel (ed.) et al., Surveys in noncommutative geometry. Proceedings from the Clay Mathematics Institute instructional symposium, held in conjunction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, South Hadley, MA, USA, June 18–29, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3846-6/pbk). Clay Mathematics Proceedings 6, 127-141 (2006). Reviewer: Roger Heath-Brown (Oxford) MSC: 11M26 37A45 PDFBibTeX XMLCite \textit{J. C. Lagarias}, Clay Math. Proc. 6, 127--141 (2006; Zbl 1119.11051)
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. (English) Zbl 1119.28005 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 0-387-33285-5/hbk; 0-387-35208-2/ebook). xxiv, 464 p. (2006). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 11-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. New York, NY: Springer (2006; Zbl 1119.28005) Full Text: DOI
Castro, Carlos On the Riemann hypothesis and tachyons in dual string scattering amplitudes. (English) Zbl 1090.81046 Int. J. Geom. Methods Mod. Phys. 3, No. 2, 187-199 (2006). MSC: 81T30 81U05 37C30 11M26 PDFBibTeX XMLCite \textit{C. Castro}, Int. J. Geom. Methods Mod. Phys. 3, No. 2, 187--199 (2006; Zbl 1090.81046) Full Text: DOI
Leichtnam, Eric An invitation to Deninger’s work on arithmetic zeta functions. (English) Zbl 1090.11052 Entov, Michael (ed.) et al., Geometry, spectral theory, groups, and dynamics. Proceedings in memory of Robert Brooks, Haifa, Israel, December 29, 2003–January 2, 2004, January 5–9, 2004. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3710-9/pbk). Contemporary Mathematics 387. Israel Mathematical Conference Proceedings, 201-236 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 14F20 46L87 11R56 14H05 37C27 14G10 PDFBibTeX XMLCite \textit{E. Leichtnam}, Contemp. Math. 387, 201--236 (2005; Zbl 1090.11052)
Coppel, W. A. Number theory: an introduction to mathematics. Part B. (English) Zbl 0997.11002 Fyshwick: Phalanger Press. xi, 341-672, append. 26 p. (2002). Reviewer: Wladyslaw Narkiewicz (Wrocław) MSC: 11-01 00A05 11Hxx 11Nxx 33E05 11Pxx 37Axx PDFBibTeX XMLCite \textit{W. A. Coppel}, Number theory: an introduction to mathematics. Part B. Fyshwick: Phalanger Press (2002; Zbl 0997.11002)
Flajolet, Philippe; Vallée, Brigitte Continued fractions, comparison algorithms, and fine structure constants. (English) Zbl 1006.11087 Théra, Michel (ed.), Constructive, experimental, and nonlinear analysis. Selected papers of a workshop, Limoges, France, September 22-23, 1999. Providence, RI: American Mathematical Society (AMS), publ. for the Canadian Mathematical Society. CMS Conf. Proc. 27, 53-82 (2000). MSC: 11Y65 11-02 11K50 37C30 37A45 11Y60 PDFBibTeX XMLCite \textit{P. Flajolet} and \textit{B. Vallée}, CMS Conf. Proc. 27, 53--82 (2000; Zbl 1006.11087)
Berry, M. V.; Keating, Jonathan P. The Riemann zeros and eigenvalue asymptotics. (English) Zbl 0928.11036 SIAM Rev. 41, No. 2, 236-266 (1999). Reviewer: E.Elizalde (Barcelona) MSC: 11M26 11M06 35P20 81Q50 81U99 37K99 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, SIAM Rev. 41, No. 2, 236--266 (1999; Zbl 0928.11036) Full Text: DOI
Verjovsky, A. Arithmetic, geometry and dynamics in the unit tangent bundle of the modular orbifold. (English) Zbl 0802.58045 Bamon, R. (ed.) et al., Dynamical systems. Proceedings of the 3rd international school of dynamical systems, Santiago de Chile, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 285, 263-298 (1993). Reviewer: S.G.Dani (Bombay) MSC: 37D40 53D25 11M26 PDFBibTeX XMLCite \textit{A. Verjovsky}, in: Dynamical systems. Proceedings of the 3rd international school of dynamical systems, Santiago de Chile, 1990. Harlow, Essex: Longman Scientific \& Technical; New York: John Wiley \& Sons, Inc.. 263--298 (1993; Zbl 0802.58045) Full Text: arXiv
Berry, M. V. Semiclassical formula for the number variance of the Riemann zeros. (English) Zbl 0664.10022 Nonlinearity 1, No. 3, 399-407 (1988). Reviewer: Jürgen Elstrodt (Münster) MSC: 11M06 37D45 81Q50 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry}, Nonlinearity 1, No. 3, 399--407 (1988; Zbl 0664.10022) Full Text: DOI Link
Berry, M. V. Riemann’s zeta function: a model for quantum chaos? (English) Zbl 0664.10021 Quantum chaos and statistical nuclear physics, Lect. Notes Phys. 263, 1-17 (1986). Reviewer: Jürgen Elstrodt (Münster) MSC: 11M06 37D45 81Q50 PDFBibTeX XML
Veech, William A. Periodic points and invariant pseudomeasures for toral endomorphisms. (English) Zbl 0616.28009 Ergodic Theory Dyn. Syst. 6, 449-473 (1986). Reviewer: F.Schweiger MSC: 28D05 11K55 15B36 11R04 37A99 PDFBibTeX XMLCite \textit{W. A. Veech}, Ergodic Theory Dyn. Syst. 6, 449--473 (1986; Zbl 0616.28009) Full Text: DOI
Popov, V. M. On stability properties which are equivalent to Riemann hypothesis. (English) Zbl 0639.34064 Libertas Math. 5, 55-61 (1985). Reviewer: U.D’Ambrosio MSC: 34K05 34K20 93C99 37-XX PDFBibTeX XMLCite \textit{V. M. Popov}, Libertas Math. 5, 55--61 (1985; Zbl 0639.34064)