On the Prime Number Lemma of Selberg

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Filip Saidak, Assistant Professor (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/

Abstract: The key result needed in almost all elementary proofs of the Prime Number Theorem is a prime number lemma proved by Atle Selberg in 1948.Without restricting ourselves to purely elementary techniques we show how the error term in Selberg’s fundamental lemma relates to the error term in the Prime Number Theorem. In spite of all the interest in this topic over the last sixty years this particular question seems to have been overlooked in the past.

Additional Information

Mathematica Scandinavica, 103(1), 5-10
Language: English
Date: 2008
Prime Number Theorem, Lemmas, Alte Selberg

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