Academic literature on the topic 'Multiplication, Complex'

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Journal articles on the topic "Multiplication, Complex"

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Kibelbek, Jonas, Ling Long, Kevin Moss, Benjamin Sheller, and Hao Yuan. "Supercongruences and complex multiplication." Journal of Number Theory 164 (July 2016): 166–78. http://dx.doi.org/10.1016/j.jnt.2015.12.013.

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Carocca, Angel, Herbert Lange, and Rubí E. Rodríguez. "Jacobians with complex multiplication." Transactions of the American Mathematical Society 363, no. 12 (2011): 6159–75. http://dx.doi.org/10.1090/s0002-9947-2011-05560-1.

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Fam, A. T. "Efficient complex matrix multiplication." IEEE Transactions on Computers 37, no. 7 (1988): 877–79. http://dx.doi.org/10.1109/12.2236.

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Eum, Ick Sun, Ho Yun Jung, Ja Kyung Koo, and Dong Hwa Shin. "Composition law and complex multiplication." Journal of Number Theory 209 (April 2020): 396–420. http://dx.doi.org/10.1016/j.jnt.2019.09.005.

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Polishchuk, A. "Theta identities with complex multiplication." Duke Mathematical Journal 96, no. 2 (1999): 377–400. http://dx.doi.org/10.1215/s0012-7094-99-09611-4.

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Zarhin, Yuri G. "Hyperelliptic jacobians without complex multiplication." Mathematical Research Letters 7, no. 1 (2000): 123–32. http://dx.doi.org/10.4310/mrl.2000.v7.n1.a11.

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Connes, Alain, Matilde Marcolli, and Niranjan Ramachandran. "KMS states and complex multiplication." Selecta Mathematica 11, no. 3-4 (2005): 325–47. http://dx.doi.org/10.1007/s00029-005-0013-x.

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Grabauskienė, Vaiva, and Oksana Mockaitytė-Rastenienė. "AN EXPRESSION OF MATHEMATICAL CONNECTIONS IN MULTIPLICATION-RELATED THINKING IN THIRD AND FOURTH GRADES OF PRIMARY SCHOOL." ŠVIETIMAS: POLITIKA, VADYBA, KOKYBĖ / EDUCATION POLICY, MANAGEMENT AND QUALITY 11, no. 1 (2019): 9–29. http://dx.doi.org/10.48127/spvk-epmq/19.11.09.

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Mathematical comprehension is closely related to a cognition of mathematical connections. A multiplication is a mathematical operation characterized by complex mathematical connections. Students are early introduced with the multiplication. Therefore, in primary school, not so developed cognition of mathematical connections may become a reason for difficulties in Maths. A functionality of concept is based on a view to a multiplication. The analysis scientific literature revealed that a thinking of multiplication can be either additive or multiplicative. Additionally, the multiplication learnin
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Chang, Sungkon. "Complex multiplication of two eta-products." Colloquium Mathematicum 159, no. 1 (2020): 7–24. http://dx.doi.org/10.4064/cm7134-12-2018.

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Morton, Patrick. "Legendre polynomials and complex multiplication, I." Journal of Number Theory 130, no. 8 (2010): 1718–31. http://dx.doi.org/10.1016/j.jnt.2010.03.009.

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Dissertations / Theses on the topic "Multiplication, Complex"

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Blake, Christopher James. "Topics in complex multiplication." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709365.

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Giguère, Pierre. "Some properties of complex multiplication." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61184.

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This thesis presents various aspects of the general theory of arithmetic of elliptic curves and of complex multiplication. Special attention is given to curves with complex multiplication by a imaginary quadratic number field with class number two. The thesis concludes with some rank calculations, which take advantage of the properties of Q-curves.
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Wilson, Ley Catherine. "Q-Curves with Complex Multiplication." University of Sydney, 2010. http://hdl.handle.net/2123/6259.

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Doctor of Philosophy<br>The Hecke character of an abelian variety A/F is an isogeny invariant and the Galois action is such that A is isogenous to its Galois conjugate A^σ if and only if the corresponding Hecke character is fixed by σ. The quadratic twist of A by an extension L/F corresponds to multiplication of the associated Hecke characters. This leads us to investigate the Galois groups of families of quadratic extensions L/F with restricted ramification which are normal over a given subfield k of F. Our most detailed results are given for the case where k is the field of rational num
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Rohde, Jan Christian. "Cyclic coverings, Calabi-Yau manifolds and complex multiplication." Berlin Heidelberg Springer, 2007. http://d-nb.info/993987613/04.

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Rohde, Jan Christian. "Cyclic coverings, Calabi-Yau manifolds and complex multiplication." Berlin [u.a.] Springer, 2009. http://dx.doi.org/10.1007/978-3-642-00639-5.

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Riffaut, Antonin. "Calcul effectif de points spéciaux." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0100/document.

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À partir du théorème d’André en 1998, qui est la première contribution non triviale à la conjecture de André-Oort sur les sous-variétés spéciales des variétés de Shimura, la principale problématique de cette thèse est d’étudier les propriétés diophantiennes des modules singuliers, en caractérisant les points de multiplication complexe (x; y) satisfaisant un type d’équation donné de la forme F(x; y) = 0, pour un polynôme irréductible F(X; Y ) à coefficients complexes. Plus spécifiquement, nous traitons deux équations impliquant des puissances de modules singuliers. D’une part, nous montrons que
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Thuen, Øystein Øvreås. "Constructing elliptic curves over finite fields using complex multiplication." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2006. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9434.

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<p>We study and improve the CM-method for the creation of elliptic curves with specified group order over finite fields. We include a thorough review of the mathematical theory needed to understand this method. The ability to construct elliptic curves with very special group order is important in pairing-based cryptography.</p>
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Mukamel, Ronen E. (Ronen Eliahu). "Orbifold points on Teichmüller curves and Jacobians with complex multiplication." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67810.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 83-85).<br>For each integer D >/= 5 with D =/- 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus two. The primary goal of this thesis is to determine the number and type of orbifold points on each compo
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Cao, Jin [Verfasser], and Marc [Akademischer Betreuer] Levine. "Motives for an elliptic curve without complex multiplication / Jin Cao. Betreuer: Marc Levine." Duisburg, 2016. http://d-nb.info/1113534516/34.

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Kezuka, Yukako. "On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/264939.

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The conjecture of Birch and Swinnerton-Dyer is unquestionably one of the most important open problems in number theory today. Let $E$ be an elliptic curve defined over an imaginary quadratic field $K$ contained in $\mathbb{C}$, and suppose that $E$ has complex multiplication by the ring of integers of $K$. Let us assume the complex $L$-series $L(E/K,s)$ of $E$ over $K$ does not vanish at $s=1$. K. Rubin showed, using Iwasawa theory, that the $p$-part of Birch and Swinnerton-Dyer conjecture holds for $E$ for all prime numbers $p$ which do not divide the order of the group of roots of unity in $
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Books on the topic "Multiplication, Complex"

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Complex multiplication. Cambridge University Press, 2010.

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Schertz, Reinhard. Complex multiplication. Cambridge University Press, 2010.

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author, Conrad Brian 1970, and Oort Frans 1935 author, eds. Complex multiplication and lifting problems. American Mathematical Society, 2014.

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service), SpringerLink (Online, ed. Cyclic coverings, Calabi-Yau manifolds and complex multiplication. Springer, 2009.

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Abelian varieties with complex multiplication and modular functions. Princeton University Press, 1998.

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Rohde, Christian. Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00639-5.

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Shechtman, Zipora. Treating child and adolescent aggression through bibliotherapy. Springer, 2009.

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Vlăduț, S. G. Kronecker's Jugendtraum and modular functions. Gordon and Breach Science Pub., 1991.

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Shalit, Ehud De. Iwasawa theory of elliptic curves with complex multiplication: P-adic L functions. Academic Press, 1987.

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Primes of the form x² + ny²: Fermat, class field theory, and complex multiplication. Wiley, 1989.

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Book chapters on the topic "Multiplication, Complex"

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Silverman, Joseph H. "Complex Multiplication." In Graduate Texts in Mathematics. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0851-8_3.

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Serre, Jean-Pierre. "Complex Multiplication." In Springer Collected Works in Mathematics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-37726-6_76.

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Silverman, Joseph H., and John T. Tate. "Complex Multiplication." In Rational Points on Elliptic Curves. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18588-0_6.

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Lang, Serge. "Complex Multiplication." In Graduate Texts in Mathematics. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4752-4_10.

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Silverman, Joseph H., and John Tate. "Complex Multiplication." In Rational Points on Elliptic Curves. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-4252-7_7.

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Ghate, Eknath. "Complex Multiplication." In Elliptic Curves, Modular Forms and Cryptography. Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-15-6_7.

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De Jong, Johan, and Rutger Noot. "Jacobians with complex multiplication." In Arithmetic Algebraic Geometry. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0457-2_8.

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Chai, Ching-Li, Brian Conrad, and Frans Oort. "Algebraic theory of complex multiplication." In Complex Multiplication and Lifting Problems. American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/195/02.

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Chai, Ching-Li, Brian Conrad, and Frans Oort. "Introduction." In Complex Multiplication and Lifting Problems. American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/195/01.

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Chai, Ching-Li, Brian Conrad, and Frans Oort. "CM lifting over a discrete valuation ring." In Complex Multiplication and Lifting Problems. American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/195/03.

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Conference papers on the topic "Multiplication, Complex"

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Achter, Jeffrey D. "Detecting complex multiplication." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0003.

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Kohel, David R. "Complex multiplication and canonical lifts." In Proceedings of the First SAGA Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793430_0003.

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Swartzlander, Earl E., and Hani H. Saleh. "Floating-point implementation of complex multiplication." In 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers. IEEE, 2009. http://dx.doi.org/10.1109/acssc.2009.5470012.

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Lefevre, Vincent, and Jean-Michel Muller. "Accurate Complex Multiplication in Floating-Point Arithmetic." In 2019 IEEE 26th Symposium on Computer Arithmetic (ARITH). IEEE, 2019. http://dx.doi.org/10.1109/arith.2019.00013.

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Jeannerod, Claude-Pierre, Christophe Monat, and Laurent Thevenoux. "More accurate complex multiplication for embedded processors." In 2017 12th IEEE International Symposium on Industrial Embedded Systems (SIES). IEEE, 2017. http://dx.doi.org/10.1109/sies.2017.7993403.

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MIYAKE, KATSUYA. "COMPLEX MULTIPLICATION IN THE SENSE OF ABEL." In The 7th China–Japan Seminar on Number Theory. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814644938_0005.

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Qureshi, Fahad, and Oscar Gustafsson. "Low-complexity reconfigurable complex constant multiplication for FFTs." In 2009 IEEE International Symposium on Circuits and Systems - ISCAS 2009. IEEE, 2009. http://dx.doi.org/10.1109/iscas.2009.5117961.

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Aksoy, Levent, Paulo Flores, and Jose Monteiro. "Towards the least complex time-multiplexed constant multiplication." In 2013 IFIP/IEEE 21st International Conference on Very Large Scale Integration (VLSI-SoC). IEEE, 2013. http://dx.doi.org/10.1109/vlsi-soc.2013.6673302.

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ENGE, ANDREAS. "ALGORITHMIC CONSTRUCTIONS OF ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION." In Proceedings of the First International Congress of Mathematical Software. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777171_0028.

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Hemnani, Monika, Sangeeta Palekar, Preeti Dixit, and Pankaj Joshi. "Hardware optimization of complex multiplication scheme for DSP application." In 2015 International Conference on Computer, Communication and Control (IC4). IEEE, 2015. http://dx.doi.org/10.1109/ic4.2015.7375548.

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Reports on the topic "Multiplication, Complex"

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Fam, Adly T. Efficient Complex Matrix Multiplication. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada179861.

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Amzeri, Achmad, B. S. DARYONO, and M. SYAFII. GENOTYPE BY ENVIRONMENT AND STABILITY ANALYSES OF DRYLAND MAIZE HYBRIDS. SABRAO Journal of Breeding and Genetics, 2020. http://dx.doi.org/10.21107/amzeri.2020.2.

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The phenotypic analysis of new candidate varieties at multiple locations could provide information on the stability of their genotypes. We evaluated the stability of 11 maize hybrid candidates in five districts in East Java Province, Indonesia. Maize hybrids with high yield potential and early maturity traits derived from a diallel cross were planted in a randomized complete block design with two checks (Srikandi Kuning and BISI-2) as a single factor with four replicates. The observed traits were grain yield per hectare and harvest age. The effects of environment, genotype, and genotype × envi
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