The application of a new mean value theorem to the fractional parts of polynomials

Trevor D. Wooley

Type: Article

Publication Date: 1993-01-01

Citations: 29

DOI: https://doi.org/10.4064/aa-65-2-163-179

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Acta Arithmetica - View - PDF

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Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	Further improvements in Waring's problem, IV: Higher powers	2000	R. C. Vaughan Trevor D. Wooley
+	The use in additive number theory of numbers without large prime factors	1993	R. C. Vaughan
+	ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW	2009	Jörg Brüdern Koichi Kawada Trevor D. Wooley
+	Estimates for smooth Weyl sums on minor arcs	2024	Jörg Brüdern Trevor D. Wooley
+	Waring's problem: A survey	2002	RC Vaughan TD Wooley
+	On diophantine inequalities: Freeman's asymptotic formulae	2003	Trevor D. Wooley
+ PDF Chat	A problem of Hooley in Diophantine approximation	1996	Glyn Harman
+	Diophantine Problems in Many Variables: The Role of Additive Number Theory	1999	Trevor D. Wooley
+ PDF Chat	Additive representation in thin sequences, VI: representing primes, and related problems	2002	J. Brdern K. Kawada Trevor D. Wooley
+ PDF Chat	Partitio Numerorum: sums of squares and higher powers	2024	Jörg Brüdern Trevor D. Wooley

Works Cited by This (13)

Action	Title	Year	Authors
+	A New Iterative Method in Waring's Problem II	1989	R. C. Vaughan
+	The fractional part of αn <sup>k</sup>	1988	D. R. Heath‐Brown
+ PDF Chat	Further improvements in Waring's problem	1995	R. C. Vaughan Trevor D. Wooley
+	Trigonometric sums over primes I	1981	Glyn Harman
+ PDF Chat	A new iterative method in Waring's problem	1989	R. C. Vaughan
+	The Hardy-Littlewood Method	1997	R. C. Vaughan
+	Large Improvements in Waring's Problem	1992	Trevor D. Wooley
+	THE FRACTIONAL PART OF αn<sup>k</sup> FOR SQUARE-FREE n	1991	Roger C. Baker Jörg Brüdern Gilbert Harman
+	ON THE DISTRIBUTION OF THE SEQUENCE n2 (mod 1)	1948	H. Heilbronn
+	Diophantine inequalities	1997	R. C. Vaughan