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- W2509076644 abstract "We show that there are infinitely many distinct rational primes of the form p 1 = a 2 + b 2 and p 2 = a 2 + ( b + h ) 2 , with a , b , h integers, such that | h | ≤ 246 . We do this by viewing a Gaussian prime c + d i as a lattice point ( c , d ) in R 2 and showing that there are infinitely many pairs of distinct Gaussian primes ( c 1 , d 1 ) and ( c 2 , d 2 ) such that the Euclidean distance between them is bounded by 246. Our method, motivated by the work of Maynard [9] and the Polymath project [13] , is applicable to the wider setting of imaginary quadratic fields with class number 1 and yields better results than those previously obtained for gaps between primes in the corresponding number rings." @default.
- W2509076644 created "2016-09-16" @default.
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- W2509076644 date "2017-02-01" @default.
- W2509076644 modified "2023-09-29" @default.
- W2509076644 title "Bounded gaps between Gaussian primes" @default.
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- W2509076644 doi "https://doi.org/10.1016/j.jnt.2016.07.008" @default.
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