Character sums over shifted primes

DOI10.1134/S0001434610090312zbMath1257.11077OpenAlexW1991052404MaRDI QIDQ650320

Ke Gong, Igor E. Shparlinski, John B. Friedlander

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610090312

zbMATH Keywords

Möbius functionEuler functionvon Mangoldt functionsieve of Eratosthenesprimitive characterLegendre formulanonprincipal character

Mathematics Subject Classification ID

Estimates on character sums (11L40) Sums over primes (11L20)

Related Items (7)

Sums of values of nonprincipal characters over a sequence of shifted primes ⋮ Bounds of multiplicative character sums over shifted primes ⋮ Large gaps between consecutive prime numbers containing perfect \(k\)-th powers of prime numbers ⋮ Algebraic trace functions over the primes ⋮ Goldbach’s Conjectures: A Historical Perspective ⋮ Суммы значений неглавных характеров по последовательности сдвинутых простых чисел ⋮ Sums of Values of Nonprincipal Characters over Shifted Primes

Cites Work

• On Character Sums and L-Series^†
• The Character Sum Estimate with r = 3
• An elementary method in prime number theory
• On Character Sums and L -Series. II
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