Analytic and Combinatorial Number
نویسندگان
چکیده
These are lecture notes for the summer semester 2008 of the course Analytic and combinatorial number theory (NDMI045, Analytická a kombinatorická teoriě císel) which I have been teaching on the Faculty of Mathematics and Physics of the Charles University in Prague. The first booklet (the second one, [25], is for summer semester 2010) covers four major theorems, three on the distribution of prime numbers and one from additive combinatorics: Dirichlet's theorem on prime numbers in arithmetic progression, the Prime Number Theorem , Shnirel'man's theorem on sums of primes, and Roth's theorem on 3-term arithmetic progressions. Actually, I did not have time to lecture on the Prime Number Theorem. I thank Petr Glivick´y for valuable remarks on the proof of Roth's theorem.
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