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Book Review
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Book Information
Author(s):
Michael Rosen
Title:
Number theory in function fields
Additional book information:
Springer-Verlag,
New York,
2002,
xii+358,
$49.95,
0-387-95335-3
References:
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- [Boc1]
- G. B¨OCKLE: Global
-functions over function fields, Math. Ann. 323 (2002) 737-795. MR 2003e:11052 - [Boc2]
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http://www.math.ethz.ch/~boeckle/). - [Ca1]
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- D. GOSS: What is a shtuka? Notices of the Amer. Math. Soc. Vol. 50 No. 1 (2003) 36-37.
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- D. GOSS: The impact of the infinite primes on the Riemann hypothesis for characteristic
valued -series, in: Algebra, Arithmetic, and Geometry with Applications Papers from Shreeram S. Abhyankar's 70th Birthday Conference, Springer (to appear). - [Go4]
- D. GOSS: Can a Drinfeld module be modular? J. Ramanujan Math. Soc. 17 No. 4 (2002) 221-260.
- [H1]
- D. HAYES: Explicit class field theory for rational function fields, Trans Amer. Math. Soc. 189 (1974) 77-91. MR 48:8444
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- N. KATZ, P. SARNAK: Zeroes of zeta functions and symmetry, Bull. Amer. Math. Soc. (N.S.) 36 (1999) 1-26. MR 2000f:11114
- [Laf1]
- L. LAFFORGUE: Chtoucas de Drinfeld et correspondance de Langlands, Invent. Math. 147 (2002) 1-241. MR 2002m:11039
- [N1]
- J. NEUKIRCH: Algebraic Number Theory, Springer, Berlin-Heidelberg-New York (1999). MR 2000m:11104
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- B. RIEMANN: Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse, Monatsberichte der Berliner Akademie (1859); Gesammelte Werke, Teubner, Leipzig (1892).
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- P. ROQUETTE: Class field theory in characteristic
, its origin and development. Class field theory--its centenary and prospect (Tokyo, 1998) Adv. Stud. Pure Math. 30, Math. Soc. Japan, Tokyo (2001). MR 2002g:11156 - [Th1]
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Additional Information:
Reviewer(s):
David
Goss
Affiliation:
The Ohio State University
Email:
goss@math.ohio-state.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
41
(2004),
127-133.
MSC
(2000):
Primary 11R58, 11G09, 11R60
DOI:
10.1090/S0273-0979-03-00999-6
PII:
S 0273-0979(03)00999-6
Posted:
October 29, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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