Simon Davis

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 21, 2015, Number 4, Pages 36—39

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## Details

### Authors and affiliations

Simon Davis

*Research Foundation of Southern California
8837 Villa La Jolla Drive #13595
La Jolla, CA 92039
*

### Abstract

The existence of prime values of meromorphic functions and irreducible polynomials is considered. An argument for an infinite number of prime values of irreducible polynomials over ℤ[x] is provided.

### Keywords

- Meromorphic
- Irreducible polynomials
- Prime valules

### AMS Classification

- 11A41
- 11N32

### References

- Landau, E. (1930) Die Goldbachsche Vermutung und der Schnirelmannsche Satz, Nachrichten von der Gesellschaft der Wissenschaften zu Gottingen, 255–276.
- Heilbronn, H. (1931) Uber di Verteilung Primzahlen in Polynomen, Math. Ann., 104, 794–799.

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## Cite this paper

APADavis, S. (2015). Prime values of meromorphic functions and irreducible polynomials. Notes on Number Theory and Discrete Mathematics, 21(4), 36-39.

ChicagoDavis, Simon. “Prime Values of Meromorphic Functions and Irreducible Polynomials.” Notes on Number Theory and Discrete Mathematics 21, no. 4 (2015): 36-39.

MLADavis, Simon. “Prime Values of Meromorphic Functions and Irreducible Polynomials” Notes on Number Theory and Discrete Mathematics 21.4 (2015): 36-39. Print.