Authors and affiliations
By means of Bienayme’s theorem of Statistics is found that the remainder term in Gauss’s problem about the lattice points in the circle is a function normally distributed with mean value zero and standard deviation 1,10368 multiplied by the fourth root of x. This result can not be improved.
- Lattice points in the circle
- Bienayme’s theorem
- Primary: 11P29, 11H06, 11H31, 52C05
- Secondary: 11D45
- Landau, E. (1947) Vorlesungen Uber Zahlentheorie, Chelsea Publishing Company, NewYork.
Cite this paperAPA
Peretti, A. (2016). The definitive solution of Gauss’s lattice points problem in the circle. Notes on Number Theory and Discrete Mathematics, 22(2), 1-3.Chicago
Peretti, Aldo. “The Definitive Solution of Gauss’s Lattice Points Problem in the Circle.” Notes on Number Theory and Discrete Mathematics 22, no. 2 (2016): 1-3.MLA
Peretti, Aldo. “The Definitive Solution of Gauss’s Lattice Points Problem in the Circle.” Notes on Number Theory and Discrete Mathematics 22.2 (2016): 1-3. Print.