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On the Number of Integers Expressible as the Sum of Two Squares

Richardson, Robert
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1265123768

Abstract Details

2009, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
We attempt to provide a reasonably complete work concerning the estimation of the number of integers expressible as the sum of two squares. We begin with some basic concepts from number theory, and progress rapidly through the theory necessary for Landau's theorem before presenting two proofs of his theorem.
Jacek Fabrykowski, PhD (Advisor)
Eric Wingler, PhD (Committee Member)
Thomas Smotzer, PhD (Committee Member)
105 p.
Mathematics
sum of two squares; prime number theorem; generalized Wiener-Ikehara theorem; Landau

Recommended Citations

Citations

  • Richardson, R. (2009). On the Number of Integers Expressible as the Sum of Two Squares [Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1265123768

    APA Style (7th edition)

  • Richardson, Robert. On the Number of Integers Expressible as the Sum of Two Squares. 2009. Youngstown State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1265123768.

    MLA Style (8th edition)

  • Richardson, Robert. "On the Number of Integers Expressible as the Sum of Two Squares." Master's thesis, Youngstown State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1265123768

    Chicago Manual of Style (17th edition)

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© 2009, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.