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Статті в журналах з теми "Algebraic fields":
JARDEN, MOSHE, and ALEXANDRA SHLAPENTOKH. "DECIDABLE ALGEBRAIC FIELDS." Journal of Symbolic Logic 82, no. 2 (June 2017): 474–88. http://dx.doi.org/10.1017/jsl.2017.10.
Kuz'min, L. V. "Algebraic number fields." Journal of Soviet Mathematics 38, no. 3 (August 1987): 1930–88. http://dx.doi.org/10.1007/bf01093434.
Chudnovsky, D. V., and G. V. Chudnovsky. "Algebraic complexities and algebraic curves over finite fields." Journal of Complexity 4, no. 4 (December 1988): 285–316. http://dx.doi.org/10.1016/0885-064x(88)90012-x.
Bost, Jean-Benoît. "Algebraic leaves of algebraic foliations over number fields." Publications mathématiques de l'IHÉS 93, no. 1 (September 2001): 161–221. http://dx.doi.org/10.1007/s10240-001-8191-3.
Chudnovsky, D. V., and G. V. Chudnovsky. "Algebraic complexities and algebraic curves over finite fields." Proceedings of the National Academy of Sciences 84, no. 7 (April 1, 1987): 1739–43. http://dx.doi.org/10.1073/pnas.84.7.1739.
Beyarslan, Özlem, and Ehud Hrushovski. "On algebraic closure in pseudofinite fields." Journal of Symbolic Logic 77, no. 4 (December 2012): 1057–66. http://dx.doi.org/10.2178/jsl.7704010.
Praeger, Cheryl E. "Kronecker classes of fields and covering subgroups of finite groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 57, no. 1 (August 1994): 17–34. http://dx.doi.org/10.1017/s1446788700036028.
Junker, Markus, and Jochen Koenigsmann. "Schlanke Körper (Slim fields)." Journal of Symbolic Logic 75, no. 2 (June 2010): 481–500. http://dx.doi.org/10.2178/jsl/1268917491.
KEKEÇ, GÜLCAN. "-NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS." Bulletin of the Australian Mathematical Society 101, no. 2 (July 29, 2019): 218–25. http://dx.doi.org/10.1017/s0004972719000832.
Restuccia, Gaetana. "Algebraic models in different fields." Applied Mathematical Sciences 8 (2014): 8345–51. http://dx.doi.org/10.12988/ams.2014.411922.
Дисертації з теми "Algebraic fields":
Hartsell, Melanie Lynne. "Algebraic Number Fields." Thesis, University of North Texas, 1991. https://digital.library.unt.edu/ark:/67531/metadc501201/.
Lötter, Ernest C. "On towers of function fields over finite fields /." Link to the online version, 2007. http://hdl.handle.net/10019.1/1283.
Ganz, Jürg Werner. "Algebraic complexity in finite fields /." Zürich, 1994. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=10867.
Swanson, Colleen M. "Algebraic number fields and codes /." Connect to online version, 2006. http://ada.mtholyoke.edu/setr/websrc/pdfs/www/2006/172.pdf.
Rovi, Carmen. "Algebraic Curves over Finite Fields." Thesis, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56761.
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Since Goppa's construction of algebraic geometric codes, there has been great interest in finding curves with many rational points. Here we explain the main tools for finding rational points on a curve over a nite eld and provide the necessary background on ring and field theory. Four different articles are analyzed, the first of these articles gives a complete set of table showing the numbers of rational points for curves with genus up to 50. The other articles provide interesting constructions of covering curves: covers by the Hemitian curve, Kummer extensions and Artin-Schreier extensions. With these articles the great difficulty of finding explicit equations for curves with many rational points is overcome. With the method given by Arnaldo García in [6] we have been able to nd examples that can be used to define the lower bounds for the corresponding entries in the tables given in http: //wins.uva.nl/~geer, which to the time of writing this Thesis appear as "no information available". In fact, as the curves found are maximal, these entries no longer need a bound, they can be given by a unique entry, since the exact value of Nq(g) is now known.
At the end of the thesis an outline of the construction of Goppa codes is given and the NXL and XNL codes are presented.
Rozario, Rebecca. "The Distribution of the Irreducibles in an Algebraic Number Field." Fogler Library, University of Maine, 2003. http://www.library.umaine.edu/theses/pdf/RozarioR2003.pdf.
Alm, Johan. "Universal algebraic structures on polyvector fields." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-100775.
Bode, Benjamin. "Knotted fields and real algebraic links." Thesis, University of Bristol, 2018. http://hdl.handle.net/1983/8527a201-2fba-4e7e-8481-3df228051413.
McCoy, Daisy Cox. "Irreducible elements in algebraic number fields." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/39950.
Alnaser, Ala' Jamil. "Waring's problem in algebraic number fields." Diss., Manhattan, Kan. : Kansas State University, 2009. http://hdl.handle.net/2097/2207.
Книги з теми "Algebraic fields":
Janusz, Gerald J. Algebraic number fields. 2nd ed. Providence, R.I: American Mathematical Society, 1996.
McCarthy, Paul J. Algebraic extensions of fields. New York: Dover Publications, 1991.
Artin, Emil. Algebraic numbers and algebraic functions. Providence, RI: American Mathematical Society, 2005.
Moreno, Carlos. Algebraic curvesover finite fields. Cambridge: Cambridge University Press, 1991.
Brawley, Joel V. Infinite algebraic extensions of finite fields. Providence, R.I: American Mathematical Society, 1989.
Benedetti, R. Real algebraic and semi-algebraic sets. Paris: Hermann, 1990.
Marcus, Daniel A. Number fields. 3rd ed. New York: Springer-Verlag, 1995.
Ellis, Graham. Rings and fields. Oxford [England]: Clarendon Press, 1992.
Jacobson, Nathan. Finite-dimensional division algebras over fields. Berlin: Springer, 1996.
NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields (2007 University of Göttingen). Higher-dimensional geometry over finite fields. Amsterdam, Netherlands: IOS Press, 2008.
Частини книг з теми "Algebraic fields":
Kempf, George R. "Fields." In Algebraic Structures, 42–52. Wiesbaden: Vieweg+Teubner Verlag, 1995. http://dx.doi.org/10.1007/978-3-322-80278-1_5.
Cohn, P. M. "Global fields." In Algebraic Numbers and Algebraic Functions, 83–108. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3444-4_3.
Cohn, P. M. "Function fields." In Algebraic Numbers and Algebraic Functions, 109–75. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3444-4_4.
Cohn, P. M. "Fields with valuations." In Algebraic Numbers and Algebraic Functions, 1–42. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3444-4_1.
Bochnak, Jacek, Michel Coste, and Marie-Françoise Roy. "Ordered Fields, Real Closed Fields." In Real Algebraic Geometry, 7–21. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03718-8_2.
Pohst, Michael E. "Algebraic number fields." In Computational Algebraic Number Theory, 27–33. Basel: Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8589-8_4.
Bordellès, Olivier. "Algebraic Number Fields." In Universitext, 517–673. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54946-6_7.
Weil, André. "Algebraic number-fields." In Basic Number Theory, 80–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61945-8_5.
Iwasawa, Kenkichi. "Algebraic Number Fields." In Hecke’s L-functions, 1–7. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9495-9_1.
Bordellès, Olivier. "Algebraic Number Fields." In Universitext, 355–482. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4096-2_7.
Тези доповідей конференцій з теми "Algebraic fields":
Boku, Dereje Kifle, Wolfram Decker, Claus Fieker, and Andreas Steenpass. "Gröbner bases over algebraic number fields." In PASCO '15: International Workshop on Parallel Symbolic Computation. New York, NY, USA: ACM, 2015. http://dx.doi.org/10.1145/2790282.2790284.
Valasek, Gabor, and Robert Ban. "Higher Order Algebraic Signed Distance Fields." In CAD'22. CAD Solutions LLC, 2022. http://dx.doi.org/10.14733/cadconfp.2022.287-291.
Voight, John. "Curves over finite fields with many points: an introduction." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0010.
Efrat, Ido. "Recovering higher global and local fields from Galois groups – an algebraic approach." In Higher local fields. Mathematical Sciences Publishers, 2000. http://dx.doi.org/10.2140/gtm.2000.3.273.
Kapranov, Mikhail. "Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic." In Higher local fields. Mathematical Sciences Publishers, 2000. http://dx.doi.org/10.2140/gtm.2000.3.255.
Tamura, Jun-ichi, Shin-ichi Yasutomi, and Takao Komatsu. "Algebraic Jacobi-Perron algorithm for biquadratic numbers." In DIOPHANTINE ANALYSIS AND RELATED FIELDS—2010: DARF—2010. AIP, 2010. http://dx.doi.org/10.1063/1.3478174.
Hajime, Kaneko, and Takao Komatsu. "Expansion of real numbers by algebraic numbers." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841897.
Huang, Yu-Chih. "Lattice index codes from algebraic number fields." In 2015 IEEE International Symposium on Information Theory (ISIT). IEEE, 2015. http://dx.doi.org/10.1109/isit.2015.7282903.
Tanaka, Taka-aki, Masaaki Amou, and Masanori Katsurada. "Algebraic independence properties related to certain infinite products." In DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011: DARF - 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3630047.
Encarnación, Mark J. "Factoring polynomials over algebraic number fields via norms." In the 1997 international symposium. New York, New York, USA: ACM Press, 1997. http://dx.doi.org/10.1145/258726.258802.
Звіти організацій з теми "Algebraic fields":
Xiao, M. DA (Differential Algebraic) Method and Symplectification for Field Map Generated Matrices of Siberian Snake. Office of Scientific and Technical Information (OSTI), September 1998. http://dx.doi.org/10.2172/1149860.
Schoen, Robert C., Daniel Anderson, and Charity Bauduin. Elementary Mathematics Student Assessment: Measuring Grade 3, 4, and 5 Students’ Performace in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Spring 2016. Florida State University Library, May 2018. http://dx.doi.org/10.33009/fsu.1653497279.
Chang, P. A Differential Algebraic Integration Algorithm for Symplectic Mappings in Systems with Three-Dimensional Magnetic Field. Office of Scientific and Technical Information (OSTI), September 2004. http://dx.doi.org/10.2172/833057.
Bayak, Igor V. Applications of the Local Algebras of Vector Fields to the Modelling of Physical Phenomena. Jgsp, 2015. http://dx.doi.org/10.7546/jgsp-38-2015-1-23.
Caspi, S., M. Helm, L. J. Laslett, and V. O. Brady. An approach to 3D magnetic field calculation using numerical and differential algebra methods. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/7252409.