Prime values of $$a^2 + p^4$$ a 2 + p 4

Autor: Xiannan Li, D. R. Heath-Brown
Rok vydání: 2016
Předmět:
Zdroj: Inventiones mathematicae. 208:441-499
ISSN: 1432-1297
0020-9910
DOI: 10.1007/s00222-016-0694-0
Popis: We prove an asymptotic formula for the number of primes of the shape $$a^2+p^4$$ , thereby refining the well known work of Friedlander and Iwaniec (Ann Math (2) 148(3):945–1040, 1998). Along the way, we prove a result on equidistribution of primes up to x, in which the moduli may be almost as large as $$x^2$$ .
Databáze: OpenAIRE
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