scientific article; zbMATH DE number 1463258

zbMath1019.11028MaRDI QIDQ4487379

Jörg Brüdern, Alberto Perelli

Publication date: 6 March 2003

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1999_4_28_4_591_0

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zbMATH Keywords

exponential sumserror termssquare-free numbersasymptotic formulaesums of square-free numbers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer

Cites Work

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• The square sieve and consecutive square-free numbers
• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• On squarefree numbers in arithmetic progressions
• Trigonometric sums over primes I
• On the exponential sum over k–free numbers
• On the Representations of a Number as the Sum of Two Numbers not Divisible by k -th Powers
• Simultaneous diophantine approximation with square-free numbers
• ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY
• Sums of Three or More Primes

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