TY - GEN T1 - The prime number theorem T2 - London Mathematical Society student texts ; A1 - Jameson, G. J. O. (Graham James Oscar) LA - English PP - Cambridge ; New York PB - Cambridge University Press YR - 2003 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn817922016 AB - At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material. OP - 252 CN - QA246 .J36 2003eb SN - 9781139164986 SN - 1139164988 SN - 9780511078194 SN - 0511078196 SN - 9780511076626 SN - 0511076622 SN - 9781107101470 SN - 1107101476 SN - 0521814111 SN - 9780521814119 SN - 0521891108 SN - 9780521891103 KW - Numbers, Prime. KW - Nombres premiers. KW - MATHEMATICS : Number Theory. KW - Numbers, Prime KW - Primzahl KW - Primzahltheorie ER -