Books on the topic 'Maps over finite fields'

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1

Moreno, Carlos J. Algebraic curves over finite fields. Cambridge [England]: Cambridge University Press, 1991.

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2

Projective geometries over finite fields. 2nd ed. Oxford: Clarendon Press, 1998.

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3

Jacobson, Nathan. Finite-dimensional division algebras over fields. Berlin: Springer, 1996.

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4

Dmitri, Kaledin, and Tschinkel Yuri, eds. Higher-dimensional geometry over finite fields. Amsterdam, Netherlands: IOS Press, 2008.

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5

Jacobson, Nathan. Finite-Dimensional Division Algebras over Fields. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0.

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6

Fried, Michael D., ed. Applications of Curves over Finite Fields. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/conm/245.

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7

Noriko, Yui, ed. Arithmetic of diagonal hypersurfaces over finite fields. Cambridge: Cambridge University Press, 1995.

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8

Hansen, Søren Have. Rational points on curves over finite fields. [Aarhus, Denmark: Aarhus Universitet, Matematisk Institut, 1995.

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9

Alam, Shajahan. Zeta-functions of curves over finite fields. Manchester: UMIST, 1996.

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10

A, Huang Ming-Deh, ed. Primality testing and Abelian varieties over finite fields. Berlin: Springer-Verlag, 1992.

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11

1971-, Orlik Sascha, and Rapoport M. 1948-, eds. Period domains over finite and p-adic fields. Cambridge: Cambridge University Press, 2010.

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12

Adleman, Leonard M., and Ming-Deh A. Huang. Primality Testing and Abelian Varieties Over Finite Fields. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0090185.

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13

David, Hayes, ed. Additive number theory of Polynomials over a finite field. Oxford: Clarendon Press, 1991.

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14

Hoshi, Yuichiro. Absolute anabelian cuspidalizations of configuration spaces over finite fields. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2007.

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15

Nomesius, Nicolaus. Combinatorial and algebraic aspects of polynomials over finite fields. Toronto: University of Toronto, Dept. of Computer Science, 1997.

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16

Rogers, Stephen J. F. Representations of finite simple groups over fields of characteristic zero. Birmingham: University of Birmingham, 1997.

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17

Boylan, Hatice. Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12916-7.

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18

Adleman, Leonard M. Primality testing and Abelian varieties over finitefields. Berlin: Springer-Verlag, 1992.

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19

Kutsuwada, Kunio. Monthly maps of surface wind stress fields over the North Pacific during 1961-1984. Tokyo, Japan: Ocean Research Institute, University of Tokyo, 1987.

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20

AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields (1997 University of Washington). Applications of curves over finite fields: 1997 AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields, July 27-31, 1997, University of Washington, Seattle. Edited by Fried Michael D. 1942-. Providence, R.I: American Mathematical Society, 1999.

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21

1978-, Ghioca Dragos, and Tucker Thomas J. 1969-, eds. The dynamical Mordell-Lang conjecture. Providence, Rhode Island: American Mathematical Society, 2016.

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22

Tao, Terence. Expansion in finite simple groups of Lie type. Providence, Rhode Island: American Mathematical Society, 2015.

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23

Algebraic curves and cryptography. Providence, R.I: American Mathematical Society, 2010.

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24

Shparlinski, Igor E., and David R. Kohel. Frobenius distributions: Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014 [and] Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathematiques, Marseille, France. Providence, Rhode Island: American Mathematical Society, 2016.

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25

1965-, Aubry Yves, Ritzenthaler Christophe 1976-, Zykin Alexey 1984-, and Geocrypt Conference (2011 : Bastia, France), eds. Arithmetic, geometry, cryptography and coding theory: 13th Conference on Arithmetic, Geometry, Cryptography and Coding Theory, March 14-18, 2011, CIRM, Marseille, France : Geocrypt 2011, June 19-24, 2011, Bastia, France. Providence, R.I: American Mathematical Society, 2012.

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26

1937-, Doran Robert S., Sally Paul, and Spice Loren 1981-, eds. Harmonic analysis on reductive, p-adic groups: AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA. Providence, R.I: American Mathematical Society, 2011.

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27

International Conference Arithmetic, Geometry, Cryptography and Coding Theory (14th 2013 Marseille, France). Algorithmic arithmetic, geometry, and coding theory: 14th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, June 3-7 2013, CIRM, Marseille, France. Edited by Ballet Stéphane 1971 editor, Perret, M. (Marc), 1963- editor, and Zaytsev, Alexey (Alexey I.), 1976- editor. Providence, Rhode Island: American Mathematical Society, 2015.

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28

1943-, Seitz Gary M., ed. Unipotent and nilpotent classes in simple algebraic groups and lie algebras. Providence, R.I: American Mathematical Society, 2012.

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29

Alta.) WIN (Conference) (2nd 2011 Banff. Women in Numbers 2: Research directions in number theory : BIRS Workshop, WIN2 - Women in Numbers 2, November 6-11, 2011, Banff International Research Station, Banff, Alberta, Canada. Edited by David Chantal 1964-, Lalín Matilde 1977-, and Manes Michelle 1970-. Providence, Rhode Island: American Mathematical Society, 2013.

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30

1953-, Campillo Antonio, ed. Zeta functions in algebra and geometry: Second International Workshop on Zeta Functions in Algebra and Geometry, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain. Providence, R.I: American Mathematical Society, 2012.

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31

Trends in number theory: Fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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32

Germany) International Conference on p-adic Functional Analysis (13th 2014 Paderborn. Advances in non-Archimedean analysis: 13th International Conference on p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany. Edited by Glöckner Helge 1969 editor, Escassut Alain editor, and Shamseddine Khodr 1966 editor. Providence, Rhode Island: American Mathematical Society, 2016.

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33

Giuzzi, Luca. Hermitian varieties over finite fields. 2001.

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34

Jacobson, Nathan. Finite-Dimensional Division Algebras over Fields. Springer, 2010.

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35

Wan, Zhexian. Geometry of Classical Groups Over Finite Fields. Chartwell-Bratt, 1993.

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36

Schmidt, Wolfgang M. Equations over finite fields: An elementary approach. 2nd ed. Kendrick Press, 2004.

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37

Rosa, G., F. Torres, and J. W. P. Hirschfeld. Algebraic Curves over a Finite Field. Princeton University Press, 2013.

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38

Ma, Keju. Analysis of polynomial GCD computations over finite fields. 1987.

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39

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Quadratic Forms over a ∈ Local Field. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0007.

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Abstract:
This chapter presents various results about quadratic forms over a field complete with respect to a discrete valuation. The discussion is based on the assumption that K is a field of arbitrary characteristic which is complete with respect to a discrete valuation ν‎ and uses the usual convention that ν‎(0) = infinity. The chapter starts with a notation regarding the ring of integers of K and the natural map from it to the residue field, followed by a number of propositions regarding an anisotropic quadratic space. These include an anisotropic quadratic space with residual quadratic spaces, an unramified quadratic space of finite dimension, unramified finite-dimensional anisotropic quadratic forms over K, unramified anisotropic quadratic forms and a bilinear form, and a round quadratic space over K. The chapter concludes with a theorem that there exists an anisotropic quadratic form over K, unique up to isometry, and is non-singular.
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40

Lusztig, George. Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107. Princeton University Press, 2016.

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41

Boylan, Hatice. Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields. Springer, 2014.

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42

Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics). Princeton University Press, 2008.

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43

Huang, Ming-Deh A., and Leonard M. Adleman. Primary Testing and Abelian Varieties Over Finite Fields (Lecture Notes in Mathematics). Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992.

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44

Applications of Curves over Finite Fields: 1997 Ams-Ims-Siam Joint Summer Research Conference on Applications of Curves over Finite Fields, July 27-31, ... Seattle (Contemporary Mathematics). American Mathematical Society, 1999.

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45

Rational Points on Curves over Finite Fields: Theory and Applications (London Mathematical Society Lecture Note Series). Cambridge University Press, 2001.

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46

Algebraic Curves over Finite Fields: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics). Cambridge University Press, 1994.

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47

Gui-Liang, Feng, Rao, T. R. N. 1933-, and United States. National Aeronautics and Space Administration., eds. The weight hierarchies and chain condition of a class of codes from varieties over finite fields. [Washington, DC: National Aeronautics and Space Administration, 1996.

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48

Gui-Liang, Feng, Rao, T. R. N. 1933-, and United States. National Aeronautics and Space Administration., eds. The weight hierarchies and chain condition of a class of codes from varieties over finite fields. [Washington, DC: National Aeronautics and Space Administration, 1996.

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49

The weight hierarchies and chain condition of a class of codes from varieties over finite fields. [Washington, DC: National Aeronautics and Space Administration, 1996.

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50

Praeger, Cheryl E. A Generating Function Approach To The Enumeration Of Matrices In Classical Groups Over Finite Fields (Memoirs of the American Mathematical Society). American Mathematical Society, 2005.

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