[1] Abel, N. H., Oeuvres complètes de Niels Henrik Abel, vol. I, L. Sylow, S. Lie, eds., Grøndahl &
Søn, Christiana, 1881.
[2] Allgemeine Deutsche Biographie, Duncker & Humblot, Leipzig, 1875–1912; also available
at http://www.deutsche-biographie.de/ ndb/adb_index.html and
http://de.wikisource.org/wiki/Allgemeine_Deutsche_Biographie.
[3] Cox, D. A., The arithmetic-geometric mean of Gauss, Enseign. Math., 30 (1984), 275-330; reprinted
in Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, eds., 3rd ed., Springer, New York, 2003,
481-536.
[4] Cox, D. A., Primes of the Form x2 + ny2, Wiley, Hoboken, NJ, 1989.
[5] Cox, D. A., Galois Theory, Wiley, Hoboken, NJ, 2004.
[6] Dedekind, R., Abriß einer Theorie der höheren Kongruenzen in bezug auf einen reellen Primzahl-
Modulus, J. Reine Angew. Math., 54 (1857), 269-325; reprinted in Gesammelte mathematische
Werke, vol. I, E. Noether, O. Ore, eds., Vieweg, Braunschweig, 1930, 40-67.
[7] Dickson, L. E., History of the Theory of Numbers, Carnegie Institute, Washington, DC, 1919-1923;
reprinted by Chelsea, AMS Chelsea, Providence, RI, 1969.
[8] Dorrie, H., Triumph der Mathematik: Hundert berühmte Probleme aus zwei Jahrtausenden mathematischer
Kultur, Fredrich Hirt, Breslau, 1933; English trans. of 5th ed. by D. Antin, 100 Great
Problems of Elementary Mathematics: Their History and Solution, Dover, Mineola, NY, 1965.
[9] Dorwart, H. L., Irreducibility of polynomials, Amer. Math. Monthly, 42 (1935), 369-381.
[10] Eisenstein, F. G., Mathematische Werke, vol. II; reprinted by Chelsea, AMS Chelsea, Providence,
RI, 1989.
[11] Frei, G., The unpublished section eight: On the way to function fields over a finite field, in The
Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, C. Goldstein, N. Schappacher,
J. Schwermer, eds., Springer, Berlin, 2007, 159-198.
[12] Galois, E., Écrits et Mémoires Mathématiques D’Évariste Galois, R. Bourgne, J.-P. Azra, eds.,
Gauthier-Villars, Paris, 1962.
[13] Gauss, C. F., Disquisitiones Arithmeticae, G. Fleischer, Leipzig, 1801; reprinted in 1863 as vol. I of
[14]; German trans. by H. Maser, Untersuchungen über Höhere Arithmetik, Springer, Berlin, 1889;
reprinted by Chelsea, New York and AMS Chelsea, Providence, RI, 1965; English trans. by A. A.
Clarke, Yale University Press, New Haven, 1966; reprinted by Springer, New York, 1986.
[14] Gauss, C. F.,Werke, König. Gesell. Wissen., Göttingen, 1863-1927; vols. I–IX available at
http://www. wilbourall.org (search for “Carl”).
[15] Gauss, C. F., Mathematical Diary (original manuscript in Latin): Handscriftenabteilung Niedersächsische
Staats- und Universitätsbibliotek Göttingen, Cod. Ms. Gauß Math. 48 Cim. Ed.
[16] Gouvêa, F., p-adic Numbers: An Introduction, Springer, New York, 1993.
[17] Jordan, C., Traité des substitutions et des équations algébriques, Gauthier-Villars, Paris, 1870; 2nd
ed., 1957.
[18] Kronecker, L., Werke, B. G. Teubner, Leipzig, 1895-1931; reprinted by Chelsea, AMS Chelsea,
Providence, RI, 1968.
[19] Lemmermeyer, F., Reciprocity Laws, Springer, New York, 2000.
[20] Moore, E. H., A doubly-infinite system of simple groups, in Mathematical Papers Read at the
International Mathematical Congress, 1893, Cambridge University Press, Cambridge, 1896.
[21] O’Connor J. J., Robertson, E. F., Mactutor History of Mathematics Archive, available at
http://www-history.mcs.st-andrews.ac.uk/history/index.html.
[22] Prasolov V., Solovyev, Y., Elliptic Functions and Elliptic Integrals, American Mathematical Society,
Providence, RI, 1997.
[23] Rosen, M., Abel’s theorem on the lemniscate, Amer. Math. Monthly, 88 (1981), 387-395.
[24] Schönemann, T., Grundzüge einer allgemeinen Theorie der höhern Congruenzen, deren Modul eine
reelle Primzahl ist, J. Reine Angew. Math., 31 (1845), 269-325.
[25] Schönemann, T., Von denjenigen Moduln, welche Potenzen von Primzahlen sind, J. Reine Angew.
Math., 32 (1846), 93-105.
[26] T. Schönemann, Notiz, J. Reine Angew. Math., 40 (1850), 188.
[27] Serre, J.-P., Propriétés galoisiennes des points d’ordre fini des courbes elliptiques, Invent. Math., 15
(1972), 259-331.
[28] Silverman J., Tate, J., Rational Points on Elliptic Curves, Springer, New York, 1992.
[29] van der Waerden, B. L., Moderne Algebra, Springer, Berlin, 1930.
[30] Weber, H., Lehrbuch der Algebra, 2nd ed., Vieweg, Braunschwieg, 1898-1908; reprinted by
Chelsea, AMS Chelsea, Providence, RI, 1961.