On certain exponential sums over primes

dc.contributor.author Maier, H.
dc.contributor.author Sankaranarayanan, A.
dc.date.accessioned 2022-03-27T04:08:50Z
dc.date.available 2022-03-27T04:08:50Z
dc.date.issued 2009-07-01
dc.description.abstract Let f (x) be a real valued polynomial in x of degree k ≥ 4 with leading coefficient α. In this paper, we prove a non-trivial upper bound for the quantity| under(∑, p ≤ N) (log p) e (f (p)) | whenever the leading coefficient α of f (x) is of type 1. © 2009 Elsevier Inc. All rights reserved.
dc.identifier.citation Journal of Number Theory. v.129(7)
dc.identifier.issn 0022314X
dc.identifier.uri 10.1016/j.jnt.2009.01.018
dc.identifier.uri https://www.sciencedirect.com/science/article/abs/pii/S0022314X09000638
dc.identifier.uri https://dspace.uohyd.ac.in/handle/1/6537
dc.subject Difference operator
dc.subject Exponential sums
dc.subject Hölder's inequality
dc.subject Vaughan's identity
dc.subject von Mangoldt function
dc.title On certain exponential sums over primes
dc.type Journal. Article
dspace.entity.type
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