Abstract
The asymptotic behavior of the sum
where α is real, e(α) = e2πiα, and Λ is the von Mangoldt function, has been extensively studied by many authors. It plays a central role in Vinogradov’s solution of the 3-primes conjecture [10]. It is also a main tool in the study of the equidistribution of the sequence {pα, p prime} modulo 1.
Keywords
- Arithmetic Progression
- Multiplicative Function
- Effective Estimate
- Multiplicative Identity
- Prime Number Theorem
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© 1996 Birkhäuser Boston
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Daboussi, H. (1996). Effective estimates of exponential sums over primes. In: Berndt, B.C., Diamond, H.G., Hildebrand, A.J. (eds) Analytic Number Theory. Progress in Mathematics, vol 138. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4086-0_13
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DOI: https://doi.org/10.1007/978-1-4612-4086-0_13
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