Aldo Peretti

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 22, 2016, Number 2, Pages 1—3

**Download full paper: PDF, 464 Kb**

## Details

### Authors and affiliations

Aldo Peretti

* Murillo 1131, 9) “D” (1414) Buenos Aires, Argentina
*

### Abstract

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.

### Keywords

- Lattice points in the circle
- Bienayme’s theorem

### AMS Classification

- Primary: 11P29, 11H06, 11H31, 52C05
- Secondary: 11D45

### References

- Landau, E. (1947) Vorlesungen Uber Zahlentheorie, Chelsea Publishing Company, NewYork.

## Related papers

## Cite this paper

APAPeretti, 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.

ChicagoPeretti, 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.

MLAPeretti, 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.