Academic literature on the topic 'Frobenius trace'
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Journal articles on the topic "Frobenius trace"
Bae, Sunghan. "Statistics of traces of high powers of the Frobenius for biquadratic function fields over finite fields." International Journal of Number Theory 15, no. 08 (August 19, 2019): 1675–91. http://dx.doi.org/10.1142/s1793042119500933.
Full textCAENEPEEL, S., and T. GUÉDÉNON. "FULLY BOUNDED NOETHERIAN RINGS AND FROBENIUS EXTENSIONS." Journal of Algebra and Its Applications 06, no. 02 (April 2007): 189–206. http://dx.doi.org/10.1142/s0219498807002107.
Full textYun, Zhiwei, and Christelle Vincent. "Galois representations attached to moments of Kloosterman sums and conjectures of Evans." Compositio Mathematica 151, no. 1 (October 7, 2014): 68–120. http://dx.doi.org/10.1112/s0010437x14007593.
Full textKurniadi, Edi. "KILLING FORM ALJABAR LIE FROBENIUS BERDIMENSI ≤4 UNTUK MENENTUKAN KESEMISEDERHANAANNYA." EduMatSains : Jurnal Pendidikan, Matematika dan Sains 6, no. 1 (July 1, 2021): 101–10. http://dx.doi.org/10.33541/edumatsains.v6i1.2999.
Full textChávez, Ángel, and George Todd. "Supercharacters and mixed moments of Kloosterman sums." International Journal of Number Theory 14, no. 04 (May 2018): 1023–32. http://dx.doi.org/10.1142/s1793042118500616.
Full textTanaka, Hiromu. "The trace map of Frobenius and extending sections for threefolds." Michigan Mathematical Journal 64, no. 2 (June 2015): 227–61. http://dx.doi.org/10.1307/mmj/1434731922.
Full textHUMPHRIES, PETER. "ON THE MERTENS CONJECTURE FOR ELLIPTIC CURVES OVER FINITE FIELDS." Bulletin of the Australian Mathematical Society 89, no. 1 (February 28, 2013): 19–32. http://dx.doi.org/10.1017/s0004972712001116.
Full textSADEK, MOHAMMAD. "FORMAL GROUPS AND INVARIANT DIFFERENTIALS OF ELLIPTIC CURVES." Bulletin of the Australian Mathematical Society 92, no. 1 (May 4, 2015): 44–51. http://dx.doi.org/10.1017/s0004972715000295.
Full textIshii, Noburo. "Trace of Frobenius endomorphism of an elliptic curve with complex multiplication." Bulletin of the Australian Mathematical Society 70, no. 1 (August 2004): 125–42. http://dx.doi.org/10.1017/s0004972700035875.
Full textKadison, Lars, and Burkhard Külshammer. "Depth Two, Normality, and a Trace Ideal Condition for Frobenius Extensions." Communications in Algebra 34, no. 9 (September 2006): 3103–22. http://dx.doi.org/10.1080/00927870600650291.
Full textDissertations / Theses on the topic "Frobenius trace"
Ekdahl, Filipsson Fabian. "Trajectory and Pulse Optimization for Active Towed Array Sonar using MPC and Information Measures." Thesis, Uppsala universitet, Avdelningen för systemteknik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420532.
Full textTenzler, Julian [Verfasser], and Michael [Akademischer Betreuer] Dettweiler. "Fourier-Deligne transformation of perverse sheaves and the change of Frobenius traces under the Katz algorithm / Julian Tenzler ; Betreuer: Michael Dettweiler." Bayreuth : Universität Bayreuth, 2020. http://d-nb.info/1205804803/34.
Full textChiriac, Liubomir. "Special Frobenius Traces in Galois Representations." Thesis, 2015. https://thesis.library.caltech.edu/8942/1/Chiriac_Thesis.pdf.
Full textThis thesis studies Frobenius traces in Galois representations from two different directions. In the first problem we explore how often they vanish in Artin-type representations. We give an upper bound for the density of the set of vanishing Frobenius traces in terms of the multiplicities of the irreducible components of the adjoint representation. Towards that, we construct an infinite family of representations of finite groups with an irreducible adjoint action.
In the second problem we partially extend for Hilbert modular forms a result of Coleman and Edixhoven that the Hecke eigenvalues ap of classical elliptical modular newforms f of weight 2 are never extremal, i.e., ap is strictly less than 2[square root]p. The generalization currently applies only to prime ideals p of degree one, though we expect it to hold for p of any odd degree. However, an even degree prime can be extremal for f. We prove our result in each of the following instances: when one can move to a Shimura curve defined by a quaternion algebra, when f is a CM form, when the crystalline Frobenius is semi-simple, and when the strong Tate conjecture holds for a product of two Hilbert modular surfaces (or quaternionic Shimura surfaces) over a finite field.
Book chapters on the topic "Frobenius trace"
Gaitsgory, Dennis, and Jacob Lurie. "Computing the Trace of Frobenius." In Weil's Conjecture for Function Fields, 204–38. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691182148.003.0004.
Full text"Computing the Trace of Frobenius." In Weil's Conjecture for Function Fields, 204–38. Princeton University Press, 2019. http://dx.doi.org/10.2307/j.ctv4v32qc.6.
Full text"Chapter Four. Computing the Trace of Frobenius." In Weil's Conjecture for Function Fields, 204–38. Princeton University Press, 2019. http://dx.doi.org/10.1515/9780691184432-004.
Full textReutenauer, Christophe. "Markoff Numbers." In From Christoffel Words to Markoff Numbers, 21–28. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198827542.003.0004.
Full textConference papers on the topic "Frobenius trace"
Greferath, Marcus, and Alexandr Nechaev. "Generalized Frobenius extensions of finite rings and trace functions." In 2010 IEEE Information Theory Workshop (ITW 2010). IEEE, 2010. http://dx.doi.org/10.1109/cig.2010.5592917.
Full textRamani, Keval S., and Chinedum E. Okwudire. "Two-Stage Robust Tracking Controller for Linear Systems With Known Uncertainty Using Filtered Basis Functions." In ASME 2020 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/dscc2020-3207.
Full textSardahi, Yousef, Yuan Yao, and Jian-Qiao Sun. "Multi-Objective Optimal Control of Under-Actuated Bogie System of High Speed Trains." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9622.
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