Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2
A Languasco, A Zaccagnini - The Ramanujan Journal, 2017 - Springer
Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2 |
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Sums of four prime cubes in short intervals
A Languasco, A Zaccagnini - Acta Mathematica Hungarica, 2019 - Springer
We prove that a suitable asymptotic formula for the average number of representations of
integers n= p_ 1^ 3+ p_ 2^ 3+ p_ 3^ 3+ p_ 4^ 3 n= p 1 3+ p 2 3+ p 3 3+ p 4 3, where p_1 p 1 …
integers n= p_ 1^ 3+ p_ 2^ 3+ p_ 3^ 3+ p_ 4^ 3 n= p 1 3+ p 2 3+ p 3 3+ p 4 3, where p_1 p 1 …
Short intervals asymptotic formulae for binary problems with prime powers
A Languasco, A Zaccagnini - Journal de théorie des …, 2018 - jtnb.centre-mersenne.org
Nous montrons des formules asymptotiques dans des intervalles courts pour le nombre
moyen de représentations des entiers de la forme n= p 1 ℓ 1+ p 2 ℓ 2 et n= p ℓ 1+ m ℓ 2, où ℓ …
moyen de représentations des entiers de la forme n= p 1 ℓ 1+ p 2 ℓ 2 et n= p ℓ 1+ m ℓ 2, où ℓ …
Short intervals asymptotic formulae for binary problems with prime powers, II
A Languasco, A Zaccagnini - Journal of the Australian Mathematical …, 2020 - cambridge.org
We improve some results in our paper [A. Languasco and A. Zaccagnini,'Short intervals
asymptotic formulae for binary problems with prime powers', J. Théor. Nombres Bordeaux30 …
asymptotic formulae for binary problems with prime powers', J. Théor. Nombres Bordeaux30 …
Sums of one prime power and two squares of primes in short intervals
A Languasco, A Zaccagnini - 2021 - projecteuclid.org
Sums of one prime power and two squares of primes in short intervals Page 1 ROCKY
MOUNTAIN JOURNAL OF MATHEMATICS Volume 51 (2021), No. 1, 213–224 DOI: 10.1216 …
MOUNTAIN JOURNAL OF MATHEMATICS Volume 51 (2021), No. 1, 213–224 DOI: 10.1216 …
Sums of One Prime Power and Four Prime Cubes in Short Intervals
G Li, X Huang, X Pan, L Yang - Journal of Mathematics, 2023 - Wiley Online Library
Sums of One Prime Power and Four Prime Cubes in Short Intervals Page 1 Research Article
Sums of One Prime Power and Four Prime Cubes in Short Intervals Gen Li ,1 Xianjiu Huang ,2 …
Sums of One Prime Power and Four Prime Cubes in Short Intervals Gen Li ,1 Xianjiu Huang ,2 …
On an average ternary problem with prime powers
We continue our work on averages for ternary additive problems with powers of prime
numbers in Languasco and Zaccagnini (J Number Theory 159: 45–58, 2016; Rocky …
numbers in Languasco and Zaccagnini (J Number Theory 159: 45–58, 2016; Rocky …
On the average number of representationsof an integer as a sum of like prime powers
We investigate the average number of representations of a positive integer as the sum of $
k+ 1$ perfect $ k $-th powers of primes. We extend recent results of Languasco and the third …
k+ 1$ perfect $ k $-th powers of primes. We extend recent results of Languasco and the third …
Waring–Goldbach Problem of Even Powers in Short Intervals
L Hu, T Zhang - Journal of Mathematics, 2021 - Wiley Online Library
Waring–Goldbach Problem of Even Powers in Short Intervals Page 1 Research Article
Waring–Goldbach Problem of Even Powers in Short Intervals Liqun Hu and Tanhui Zhang …
Waring–Goldbach Problem of Even Powers in Short Intervals Liqun Hu and Tanhui Zhang …
On the sum of a prime power and a power in short intervals
Y Suzuki - arXiv preprint arXiv:1807.10150, 2018 - arxiv.org
Let $ R_ {k,\ell}(N) $ be the representation function for the sum of the $ k $-th power of a
prime and the $\ell $-th power of a positive integer. Languasco and Zaccagnini (2017) …
prime and the $\ell $-th power of a positive integer. Languasco and Zaccagnini (2017) …