Bateman–Horn conjecture

Summary

Bateman–Horn conjecture is a conjecture^[1]. It draws 33 Wikipedia views per month (conjecture category, ranking #29 of 128).^[2]

Key Facts

• Bateman–Horn conjecture's instance of is recorded as conjecture^[3].
• Paul T. Bateman is named after Bateman–Horn conjecture^[4].
• Bateman–Horn conjecture's Freebase ID is recorded as /m/044p0p^[5].
• Bateman–Horn conjecture's defining formula is recorded as #{n\le x\colon f_1(n),\dotsc,f_m(n)\in\mathbb P}\sim\left(\prod_{p\in\mathbb P}\frac{1-p^{-1}#{y\in\mathbb F_p\colon \prod_{i=1}^mf_i(y)=0}}{(1-1/p)^m}\right)\left(\prod_{i=1}^m\frac1{\deg f_i}\right)\int_2^x\frac{\mathrm dt}{(\log t)^m}^[6].
• Bateman–Horn conjecture's maintained by WikiProject is recorded as WikiProject Mathematics^[7].
• Bateman–Horn conjecture's Microsoft Academic ID is recorded as 2778487135^[8].

Body

Designation and Status

Bateman–Horn conjecture's instance of is recorded as conjecture^[3].

History and Context

Paul T. Bateman is named after Bateman–Horn conjecture^[4].

Why It Matters

Bateman–Horn conjecture draws 33 Wikipedia views per month (conjecture category, ranking #29 of 128).^[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.^[9]