Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On real quadratic fields
HTML articles powered by AMS MathViewer

by Gilles Lachaud PDF
Bull. Amer. Math. Soc. 17 (1987), 307-311
References
  • Fethi Çallialp, Non-nullité des fonctions zéta des corps quadratiques réels pour $0<s<1$, C. R. Acad. Sci. Paris Sér. A-B 291 (1980), no. 12, A623–A625 (French, with English summary). MR 606448
  • S. Chowla and J. B. Friedlander, Some remarks on $L$-functions and class numbers, Acta Arith. 28 (1975/76), no. 4, 413–417. MR 389852, DOI 10.4064/aa-28-4-413-417
  • Atle Selberg and S. Chowla, On Epstein’s zeta-function, J. Reine Angew. Math. 227 (1967), 86–110. MR 215797, DOI 10.1515/crll.1967.227.86
  • E. P. Golubeva, The length of a period of quadratic irrationality, Mat. Sb. (N.S.) 123(165) (1984), no. 1, 120–129 (Russian). MR 728933
  • D. M. Goldfeld and A. Schinzel, On Siegel’s zero, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 2 (1975), no. 4, 571–583. MR 404213
  • Dorian M. Goldfeld, The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 3 (1976), no. 4, 624–663. MR 450233
  • Erich Hecke, Mathematische Werke, Vandenhoeck & Ruprecht, Göttingen, 1970 (German). Mit einer Vorbemerkung von B. Schoenberg, einer Anmerkung von Carl Ludwig Siegel, und einer Todesanzeige von Jakob Nielsen; Zweite durchgesehene Auflage. MR 0371577
  • Serge Lang, Algebraic number theory, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0282947
    • Casimir Richaud, Sur la résolution des équations x2 - Ay2 = ±1, Atti dell’Acc. Pont, de Nuovi Lincei (1866), 177-182.
  • Takuro Shintani, On evaluation of zeta functions of totally real algebraic number fields at non-positive integers, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 23 (1976), no. 2, 393–417. MR 427231
    • C. L. Siegel, Über die Classenzahl quadratischer Zahlkörper, Acta Arith. 1 (1935), 83-86; =Ges. Abh., no. 21, I, pp. 406-409, Springer, Berlin, 1966.
  • H. M. Stark, On the problem of unique factorization in complex quadratic fields. , Number Theory (Proc. Sympos. Pure Math., Vol. XII, Houston, Tex., 1967) Amer. Math. Soc., Providence, R.I., 1967, pp. 41–56. MR 0252350
    • T. Vijayaraghavan, Periodic simple continued fractions, Proc. London Math. Soc. 26 (1927), 403-414.
  • Franck Wielonsky, Séries d’Eisenstein, intégrales toroïdales et une formule de Hecke, Enseign. Math. (2) 31 (1985), no. 1-2, 93–135 (French). MR 798908
  • Don Zagier, A Kronecker limit formula for real quadratic fields, Math. Ann. 213 (1975), 153–184. MR 366877, DOI 10.1007/BF01343950
  • D. Zagier, Valeurs des fonctions zêta des corps quadratiques réels aux entiers négatifs, Journées Arithmétiques de Caen (Univ. Caen, Caen, 1976) Astérisque No. 41–42, Soc. Math. France, Paris, 1977, pp. 135–151 (French). MR 0441925, DOI 10.4064/aa-1-1-83-86
Similar Articles
Additional Information
  • Journal: Bull. Amer. Math. Soc. 17 (1987), 307-311
  • MSC (1985): Primary 11E45, 11M41, 11R29, 11R42; Secondary 11E32, 11E41, 11M20, 11R11
  • DOI: https://doi.org/10.1090/S0273-0979-1987-15571-6
  • MathSciNet review: 903739