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Selected online references for a Number Theory Celebration (Lab. Cemati…
Selected online references for a
Number Theory Celebration
(
Lab. Cemati.org, 2020
)
Books
M. Ram Murty (2001)
Problems in
Analytic Number Theory
Graduate Texts in Mathematics
Springer.
B. Shoup (2008)
A Computational Introduction to
Number Theory and Algebra
P. L. Clark (c. 2014)
Number Theory:
A Contemporary Introduction
J.-P. Serre (1973)
A Course in Arithmetic
Springer
K. H. Rosen (1986)
Elementary Number Theory
and Its Applications
Addison-Wesley.
Classic papers
M. H. Krieger (2005)
A 1940 Letter of André Weil
on Analogy in Mathematics
Notices of the AMS 52:3 (334-341)
A. Weil (1949)
Number of Solutions of Equations
in Finite Fields
. Bulletin of the AMS, 55:5
J. H. Ewing, et al. (1976)
American mathematics from 1940 to the day before yesterday
. American Mathematical Monthly, 83:7 (503-616)
[see pp. 505, 508-510]
Videos
M. Ram Murty (2015)
Eight videos of
Mini-course to
"Analytic Number Theory"
p-adic Numbers
N. Koblitz (1984)
p-adic Numbers, p-adic Analysis
and Zeta Functions, 2/e
Springer
Ç. K. Koç (2002)
A Tutorial on
p-adic Arithmetic
B. Courthoute, et al. (2015)
The p-adic integers
J. E. Holly (2001)
Pictures of Ultraparametric
Spaces, the p-adic numbers,
and Valued Fields.