In number theory, the Bateman–Horn conjecture is a statement concerning the frequency of prime numbers among the values of a system of polynomials, named...

number for P. The conjecture has been shown to be inconsistent with the second Hardy–Littlewood conjecture. The Bateman–Horn conjecture generalizes the...

University of Utah. He is known for formulating the Bateman–Horn conjecture with Paul T. Bateman on the density of prime number values generated by systems...

Paul Trevier Bateman (June 6, 1919 – December 26, 2012) was an American number theorist, known for formulating the Bateman–Horn conjecture on the density...

the Ulam spiral. This conjecture, which Hardy and Littlewood called "Conjecture F", is a special case of the Bateman–Horn conjecture and asserts an asymptotic...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

for multiple linear polynomials. It is in turn extended by the Bateman–Horn conjecture. As a simple example with k = 1 {\displaystyle k=1} , x 2 + 1 {\displaystyle...

consequence of other number-theoretic conjectures such as the Bunyakovsky conjecture and Bateman–Horn conjecture. One example of near-square primes are...

this and the twin prime conjecture; they include the Dickson's conjecture, Schinzel's hypothesis H, and the Bateman–Horn conjecture. A heuristic estimate...

irreducibility criterion Schinzel's hypothesis H Bateman–Horn conjecture Hardy and Littlewood's conjecture F Hensel, Kurt (1896). "Ueber den grössten gemeinsamen...

Goldbach's conjecture Goldbach's weak conjecture Second Hardy–Littlewood conjecture Hardy–Littlewood circle method Schinzel's hypothesis H Bateman–Horn conjecture...

career model Hans-Hermann Hoppe – economist Roger Horn – co-developed the Bateman-Horn conjecture and wrote the standard-issue Matrix Analysis textbook...

unknown whether there are infinitely many Brazilian primes. If the Bateman–Horn conjecture is true, then for every prime number of digits there would exist...

of prime number theory, such as Schinzel's hypothesis H and the Bateman–Horn conjecture, it is a matter of basic importance to understand the case when...

Accepted for publication M. Jarden and L. Bary-Soroker, On the Bateman-Horn conjecture about polynomial rings, Münster Journal of Mathematics M. Jarden...

Neumann Theory Prize recipient (2017) Roger Horn (B.A. 1963) – co-developed the Bateman-Horn conjecture and wrote the standard-issue Matrix Analysis...

work in higher dimensional birational geometry Roger Horn – co-developed the Bateman–Horn conjecture and co-wrote the standard-issue Matrix Analysis textbook...

work in higher dimensional birational geometry Roger Horn – co-developed the Bateman-Horn conjecture and co-wrote the standard-issue Matrix Analysis textbook...

Festival Virginia Ragsdale, mathematician and creator of the Ragsdale conjecture Ski Beatz, music producer Charlie Sanders, member of Pro Football Hall...

original on 28 February 2009. Retrieved 29 September 2012. Murton, J. B., Bateman MD, Dallimore SR, Teller JT, Yang Z (1 April 2010). "Identification of...

Adriaan van der Hoop, Dutch banker, politician (d. 1854) April 29 – Thomas Bateman, British physician, pioneer in the field of dermatology (d. 1821) April...

David Harbater: Cole Prize recipient, known for solving the Abhyankar conjecture Lothar Haselberger: professor of architectural history De'Broski Herbert:...