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1982
DOI: 10.5962/bhl.title.4724
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Impact of man on the coastal environment / technical editor, Thomas W. Duke.

Abstract: DISCLAIMER Mention of trade names or commercial products does not constitute endorsement or recommendation for use. u FOREWORDThe formation of the U.S. Environmental Protection Agency in 1970 ushered in the first decade of environmental awareness as a total national phenomenon. It was a decade punctuated by major Congressional mandates to restore the nation's waters, to reduce air pollution, and to find a comprehensive approach to other environmental problems-those associated with pesticide use, hazardous wast… Show more

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Cited by 4 publications
(4 citation statements)
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References 67 publications
(82 reference statements)
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“…for primitive Dirichlet characters χ of conductor M. Burgess employed an ingenious technique to bound short character sums by higher moments of complete character sums, for which one has strong bounds coming from the Riemann hypothesis for curves on finite fields (Weil's theorem). Similar subconvex bound in the level aspect for GL(2) L-functions was first obtained by Duke, Friedlander and Iwaniec [3] using the amplification technique. For f a newform of level M and trivial nebentypus their result gives the subconvex bound…”
Section: Introductionsupporting
confidence: 69%
“…for primitive Dirichlet characters χ of conductor M. Burgess employed an ingenious technique to bound short character sums by higher moments of complete character sums, for which one has strong bounds coming from the Riemann hypothesis for curves on finite fields (Weil's theorem). Similar subconvex bound in the level aspect for GL(2) L-functions was first obtained by Duke, Friedlander and Iwaniec [3] using the amplification technique. For f a newform of level M and trivial nebentypus their result gives the subconvex bound…”
Section: Introductionsupporting
confidence: 69%
“…Our job now is to get a nontrivial estimate for (13), beyond square-root cancellation in the character sum S(m 1 , m 2 , n, h; q). For h = 0, the zero shift, the character sum S(m 1 , m 2 , n, 0; q) can be evaluated precisely, and then one can use the large sieve inequality of Duke, Friedlander and Iwaniec [8] for Kloosterman fractions to get extra cancellation on the sum over n and m. Alternatively one can use reciprocity and then Voronoi yet again on the sum over m 2 , to get a much better result. However for non-zero shift the character sum S(m 1 , m 2 , n, h; q) can not be computed explicitly, and hence it is not clear how to obtain extra cancellation.…”
Section: Now We Apply Cauchy and Lemma 4 To Concludementioning
confidence: 99%
“…Non-trivial bound of this sum often has deep implications, e.g. subconvexity and equidistribution (QUE) (see [2], [6], [7], [11], [12], [13], [14], [16], [17], [18], [20], [24]). In this paper we will consider a higher rank analogue -…”
Section: Introductionmentioning
confidence: 99%
“…For number fields, t-aspect subconvexity was achieved by Cogdell, Piatetski-Shapiro and Sarnak [5], Petridis and Sarnak [19] and Diaconu and Garrett [6]. The first subconvex bound in the M aspect (for t = 0) was obtained by Duke, Friedlander and Iwaniec [7] (for holomorphic forms of full level), Bykovskii [4] (for general holomorphic forms) and later by Harcos [9], Michel [15] and Blomer, Harcos and Michel [3] (for Maass forms). Over number fields this was established by Venkatesh [21] and Blomer and Harcos [2].…”
mentioning
confidence: 97%