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Mock-modular forms of weight one - UCLA Department of Mathematics

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56 W. DUKE AND Y. LI<br />

39. Stark, H. M. Class fields and <strong>modular</strong> <strong>forms</strong> <strong>of</strong> <strong>weight</strong> <strong>one</strong>. Modular functions <strong>of</strong> <strong>one</strong> variable, V (Proc.<br />

Second Internat. Conf., Univ. Bonn, Bonn, 1976), pp. 277-287. Lecture Notes in Math., Vol. 601, Springer,<br />

Berlin, 1977.<br />

40. Stark, H. M. L-functions at s = 1.I– IV. Advances in Math. 7 1971 301-343 (1971), 17 (1975), no. 1,<br />

60-92., 22 (1976), no. 1, 64-84, 35 (1980), no. 3, 197-235.<br />

41. Stein, William A. et al. Sage <strong>Mathematics</strong> S<strong>of</strong>tware (Version 5.0.1), The Sage Development Team, 2012,<br />

http://www.sagemath.org.<br />

42. Viazovska, Maryna. CM Values <strong>of</strong> Higher Green’s Functions, preprint 2011 (see arXiv:1110.4654)<br />

43. Zagier, Don. Letter to Gross<br />

44. Zagier, Don Traces <strong>of</strong> singular moduli. Motives, polylogarithms and Hodge theory, Part I (Irvine, CA,<br />

1998), 211-244, Int. Press Lect. Ser., 3, I, Int. Press, Somerville, MA, 2002.<br />

45. Zagier, Don. Nombres de classes et formes modulaires de poids 3/2. (French) C. R. Acad. Sci. Paris Sr.<br />

A-B 281 (1975), no. 21, Ai, A883-A886.<br />

46. Zagier, Don Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-<br />

Bringmann). Seminaire Bourbaki. Vol. 2007/2008. Astrisque No. 326 (2009), Exp. No. 986, vii-viii,<br />

143-164 (2010).<br />

47. Zwegers , S.P., <strong>Mock</strong> Theta Functions, Utrecht PhD Thesis, (2002) ISBN 90-393-3155-3<br />

<strong>UCLA</strong> <strong>Mathematics</strong> <strong>Department</strong>, Box 951555, Los Angeles, CA 90095-1555<br />

E-mail address: wdduke@ucla.edu<br />

<strong>UCLA</strong> <strong>Mathematics</strong> <strong>Department</strong>, Box 951555, Los Angeles, CA 90095-1555<br />

E-mail address: yingkun@ucla.edu

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