Celebratio Mathematica

Friedrich E. P. Hirzebruch

Complete Bibliography

Works connected to Don Bernard Zagier

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F. Hirzebruch and D. Za­gi­er: The Atiyah–Sing­er the­or­em and ele­ment­ary num­ber the­ory. Math­em­at­ics Lec­ture Series 3. Pub­lish or Per­ish (Bo­ston), 1974. MR 650832 Zbl 0288.​10001 book

F. Hirzebruch and D. Za­gi­er: “In­ter­sec­tion num­bers of curves on Hil­bert mod­u­lar sur­faces and mod­u­lar forms of Nebenty­pus,” In­vent. Math. 36 : 1 (1976), pp. 57–​113. To Jean-Pierre Serre. A short sum­mary was pub­lished in Delange–Pisot–Poit­ou sem­in­ar: Num­ber the­ory (1977). MR 453649 Zbl 0332.​14009 article

F. Hirzebruch: “The ring of Hil­bert mod­u­lar forms for real quad­rat­ic fields of small dis­crim­in­ant,” pp. 287–​323 in Mod­u­lar func­tions of one vari­able (Bonn, 2–14 Ju­ly 1976), vol. VI: Pro­ceed­ings of the second in­ter­na­tion­al con­fer­ence. Edi­ted by J. P. Serre and D. B. Za­gi­er. Lec­ture Notes in Math­em­at­ics 627. Spring­er (Ber­lin), 1977. MR 480355 Zbl 0369.​10017 incollection

F. Hirzebruch and D. Za­gi­er: “Clas­si­fic­a­tion of Hil­bert mod­u­lar sur­faces,” pp. 43–​77 in Com­plex ana­lys­is and al­geb­ra­ic geo­metry: A col­lec­tion of pa­pers ded­ic­ated to K. Kodaira. Edi­ted by W. L. Baily, Jr. and T. Sh­i­oda. Iwanami Shoten (Tokyo), 1977. MR 480356 Zbl 0354.​14011 incollection

F. Hirzebruch: “Pos­it­ive def­in­ite bin­ary quad­rat­ic forms and Hil­bert mod­u­lar sur­faces (joint work with D. Za­gi­er),” pp. 229 in Journées arithmétiques de Caen 1976 [Caen arithemet­ic days, 1976] (Caen, France, 3–8 May 1976). Astérisque 41–​42. Société Mathématique de France (Par­is), 1977. Zbl 0345.​14008 incollection

F. Hirzebruch: “Cod­ier­ung­sthe­or­ie und ihre Bez­iehung zu Geo­met­rie und Zah­len­the­or­ie” [Cod­ing the­ory and its re­la­tion to geo­metry and num­ber the­ory], pp. 7–​33 in F. Hirzebruch and D. Za­gi­er: Cod­ier­ung­sthe­or­ie und ihre Bez­iehung zu Geo­met­rie und Zah­len­the­or­ie/Primzah­len: The­or­ie und An­wendung [Cod­ing the­ory and its re­la­tion to geo­metry and num­ber the­ory/Prime num­bers: The­ory and ap­plic­a­tion] (Düssel­dorf, 5 Novem­ber 1986 and 7 June 1989). Rhein­isch-Westfälis­che Akademie der Wis­senschaften: Natur-, In­genieur- und Wirtschaft­swis­senschaften 370. 1989. MR 1151176 Zbl 0697.​94010 incollection

M. Atiyah, D. Za­gi­er, I. Man­in, Yuri, G. van der Geer, J. Mil­nor, M. Teich­er, K. Ueno, G. Segal, S. Janeczko, J.-P. Bour­guignon, M. Kreck, and U. Schmick­ler-Hirzebruch: “Friedrich Hirzebruch (1927–2012),” No­tices Am. Math. Soc. 61 : 7 (August 2014), pp. 706–​727. article