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Buchanan with signature.pdf (412.21 KB)
ETD Abstract Container
Abstract Header
Analytic Number Theory and the Prime Number Theorem
Author Info
Buchanan, Dan Matthews
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1525451327211365
Abstract Details
Year and Degree
2018, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
Abstract
Analytic Number Theory is the cross between Real and Complex Analysis as well as Number Theory. We will examine results involving a function whose power series expansion has Fibonacci coefficients and another with Catalan number coefficients. The divisor function will help in finding an approximation of the number of divisors of a number. Our main focus will be on the Prime Number Theorem and the techniques needed to prove it. We will finish by examining how this proof helped to shape modern complex analysis, as well as discussing the Riemann Hypothesis.
Committee
Eric Wingler, PhD (Advisor)
Thomas Smotzer, PhD (Committee Member)
Padraic Taylor, PhD (Committee Member)
Pages
64 p.
Subject Headings
Mathematics
Keywords
Mathematical Analysis, Number Theory, Prime Number
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Refworks
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Citations
Buchanan, D. M. (2018).
Analytic Number Theory and the Prime Number Theorem
[Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1525451327211365
APA Style (7th edition)
Buchanan, Dan.
Analytic Number Theory and the Prime Number Theorem.
2018. Youngstown State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1525451327211365.
MLA Style (8th edition)
Buchanan, Dan. "Analytic Number Theory and the Prime Number Theorem." Master's thesis, Youngstown State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1525451327211365
Chicago Manual of Style (17th edition)
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Document number:
ysu1525451327211365
Download Count:
413
Copyright Info
© 2018, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.