We improve some results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms n=pℓ11+pℓ22 and n=pℓ1+mℓ2, where ℓ1,ℓ2≥2 are fixed integers, p,p1,p2 are prime numbers and m is an integer.
Short intervals asymptotic formulae for binary problems with prime powers, II
Alessandro Languasco
;
2020
Abstract
We improve some results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms n=pℓ11+pℓ22 and n=pℓ1+mℓ2, where ℓ1,ℓ2≥2 are fixed integers, p,p1,p2 are prime numbers and m is an integer.File in questo prodotto:
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