Number theory Sample Clauses

Number theory. 1.1.4 Algebraic and complex geometry
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Number theory. The prime counting function We close this chapter with a brief discussion of large prime power divisors of positive integers.
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Number theory. Academic Press, 1966. — 436 pp. [2] Cox X. Xxxxxx of the form x2 + ny2: Fermat, Class Field Theory and Complex Multiplication. — X.Xxxxx and Sons, 1989. — 363 pp.
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Number theory. Volume I: Tools and Diophantine equa- tions. Springer, 2007. [CP20] Xxxxxxxxx Xxxxxxxx and Xxxxxxxx Xxxxx. Entanglement in the family of division fields of elliptic curves with complex multiplication. arXiv preprint arXiv:2006.00883, 2020. [CR21] Xxxxxxx Xxxxxxx and Xxxxxx Xxxxx. Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves. Proceedings of the American Mathematical Society, 149(2):583–589, 2021. [Cre97] Xxxx X. Xxxxxxx. Algorithms for modular elliptic curves. Cambridge University Press, Cambridge, second edition, 1997. [CS19] Xxxxxxxxx Xxxxxxxx and Xxxxx Xxxxxxxxxxx. Cyclic reduction of ellip- tic curves. arXiv preprint arXiv:2001.00028, 2019. [Dav11] Agn`es Xxxxx. Borne uniforme pour les homoth´eties dans l’image de Xxxxxx associ´ee aux courbes elliptiques. Journal of Number Theory, 131(11):2175 – 2191, 2011. [Deu53] Xxx Xxxxxxx. Die Zetafunktion einer algebraischen Kurve vom Geschlechte Eins. Nachrichten von der Akademie der Wissenschaften G¨ottingen Mathematisch-Physikalische Klasse. IIa, Mathematisch- Physikalisch-Chemische Abteilung, 1953:85–94, 1953. [Deu58] Xxx Xxxxxxx. Die Klassenkorper der komplexen Multiplikation. In Enzyklop¨adie der mathematischen Wissenschaften, volume I2, Heft 10, Teil II. Teubner Verlag, Stuttgart, 1958. [DLM21] Xxxxxx X. Xxxxxxx, A´xxxxx Xxxxxx-Xxxxxxx, and Xxxxxxx X. Xxxxxx. Towards a classification of entanglements of Galois representations at- tached to elliptic curves. arXiv preprint arXiv:2105:02060, 2021. [DP16] Xxxxxxxxxx Xxxxx and Xxxxxxxxx Xxxxxxx. Reductions of algebraic in- tegers. Journal of Number Theory, 167:259–283, 2016. [EGH+11] Xxxxx X. Xxxxxxx, Xxxx Xxxxxxx, Xxxxxxxxx Xxxxxx, Xxxxxxx Xxx, Xxxx Xxxxxxxxxx, Xxxxxx Xxxxxxxx, and Xxxxx Xxxxxxxx. Introduction to representation theory. American Mathematical Society, 2011. [ES53] Xxxx Xxxxxxx and A Xxxxxx. Mathematik, 4(2):75–78, 1953. U¨ ber injektive Moduln. Archiv der [Fle68] Xxxxxxx Xxxxxxxxx. A new construction of the injective hull. Canadian Mathematical Bulletin, 11(1):19–21, 1968. [GM20] Aur´xxxxx Xxxxxxxx and C´esar Mart´xxxx. Homoth´eties explicites des repr´esentations l-adiques. arXiv preprint arXiv:2006.07401, 2020. [Gou97] Xxxxxxxx X. Xxxxˆxx. p-adic Numbers. Springer, 1997. [Gre12] Xxxxx Xxxxxxxxx. The image of Galois representations attached to elliptic curves with an isogeny. American Journal of Mathematics, 134(5):1167–1196, 2012. [Gro91] Xxxxxxxx X. Xxxxx. Xxxxxxxxx’s work on modular ell...
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