Character sums over shifted primes (Q650320)
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scientific article; zbMATH DE number 5980701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Character sums over shifted primes |
scientific article; zbMATH DE number 5980701 |
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Character sums over shifted primes (English)
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25 November 2011
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Let \(q\) be an arbitrary positive integer, \(\chi\) be a primitive character modulo \(q\), and let \(\Lambda(n)\) be the von Mangoldt function. For \(N\leq q^{16/9}\), the authors prove that \[ \left|\sum_{n\leq N}\Lambda(n)\chi(n+a)\right|\leq \left(N^{7/8}q^{1/9}+N^{33/32}q^{-1/18}\right)q^{o(1)}. \]
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nonprincipal character
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von Mangoldt function
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primitive character
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Euler function
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sieve of Eratosthenes
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Möbius function
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Legendre formula
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