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राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
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  2. M552 - Analytic Number Theory

M552 - Analytic Number Theory

By admin_sms on Thu, 17/07/2014 - 14:23
Course No
M552
Credit
4
Approval
2014
UG-Elective
Syllabus
Arithmetic functions, Averages of arithmetical functions, Distribution of primes, finite abelian groups and characters, Gauss sums, Dirichlet series and Euler products, Reimann Zeta function, Dirichlet L-functions, Analytic proof of the prime number theorem, Dirichlet Theorem on primes in arithmetic progression.
Reference Books
  1. T. M. Apostol, “Introduction to Analytic Number Theory”, Springer International Student Edition, 2000.
  2. K. Chandrasekharan, “Introduction to Analytic Number Theory”, Springer-Verlag, 1968. 
  3. H. Iwaniec, E. Kowalski, “Analytic Number Theory”, American Mathematical Society Colloquium Publications 53, American Mathematical Society, 2004.

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