Distribution of integers that are sums of three squares of primes
Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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Displaying similar documents to “Four squares of primes and 165 powers of 2”
Distribution of integers that are sums of three squares of primes
Four squares of primes and powers of 2
Lilu Zhao (2014)
Acta Arithmetica
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By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.
On pairs of Goldbach-Linnik equations with unequal powers of primes
Enxun Huang (2023)
Czechoslovak Mathematical Journal
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It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.
Gauss's three squares theorem with almost prime variables
Guangshi Lü (2007)
Acta Arithmetica
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Vinogradov's exponential sum over primes
Xiumin Ren (2006)
Acta Arithmetica
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Additive problems with prime numbers of special type
D. I. Tolev (2000)
Acta Arithmetica
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Corrigendum to the paper "Additive problems with prime numbers of special type" (Acta Arith. 96 (2000), 53-88)
D. I. Tolev (2002)
Acta Arithmetica
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Representations of integers as sums of primes from a Beatty sequence
William D. Banks, Ahmet M. Güloğlu, C. Wesley Nevans (2007)
Acta Arithmetica
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Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Hongze Li (2007)
Acta Arithmetica
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On sums over primes
Antal Balog (1985)
Banach Center Publications
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The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes (II)
Hongze Li (2001)
Acta Arithmetica
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Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Tao Liu (2004)
Acta Arithmetica
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On the upper bound for π₂(x)
Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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Lagrange's Four Squares Theorem with almost prime variables.
Jörg Brüdern, Etienne Fouvry (1994)
Journal für die reine und angewandte Mathematik
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A hybrid of theorems of Goldbach and Piatetski-Shapiro
Hongze Li (2003)
Acta Arithmetica
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Primes with preassigned digits
Glyn Harman (2006)
Acta Arithmetica
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On pairs of equations in unlike powers of primes and powers of 2
Liqun Hu, Li Yang (2017)
Open Mathematics
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In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
Eight cubes of primes and powers of 2
Zhixin Liu, Guangshi Lü (2010)
Acta Arithmetica
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The Goldston-Pintz-Yıldırım sieve and maximal gaps
Hakan Ali-John Seyalioglu (2009)
Acta Arithmetica
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