Further improvements in Waring's problem, IV: Higher powers

R. C. Vaughan, Trevor D. Wooley

Type: Article

Publication Date: 2000-01-01

Citations: 35

DOI: https://doi.org/10.4064/aa-94-3-203-285

View Publication

Download PDF

Locations

Acta Arithmetica - View - PDF

Similar Works

Action	Title	Year	Authors
+	Further improvements in Waring’s problem, II: Sixth powers	1994	R. C. Vaughan Trevor D. Wooley
+ PDF Chat	Further improvements in Waring's problem	1995	R. C. Vaughan Trevor D. Wooley
+	Large Improvements in Waring's Problem	1992	Trevor D. Wooley
+ PDF Chat	Extensions of Waring's theorem on fourth powers	1927	L. E. Dickson
+ PDF Chat	On a Waring–Goldbach-type problem for fourth powers	2004	Xiumin Ren Kai-Man Tsang
+	An improvement on Waring–Goldbach problem for unlike powers	2010	Zhixin Liu
+	Waring–Goldbach problem for fourth powers with almost equal variables	2016	Yanjun Yao Meng Zhang
+ PDF Chat	On Waring's problem for fourth and higher powers	1936	T. Estermann
+	Waring's theorem for fourth powers ...	1933	Emily McCoy Chandler
+	Waring-Goldbach problems for unlike powers with almost equal variables	2016	Meng Zhang
+	Erratum to: Waring–Goldbach problem for fourth powers with almost equal variables	2017	Yanjun Yao Meng Zhang
+	Waring's problem with various polynomials	1989	D. A. Mit’kin
+	On Waring-Goldbach Problem for Mixed Powers	2017	Jinjiang Li Min Zhang
+	On Waring’s problem with powers of primes	1939	S. S. Pillai
+	On waring’s problem with powers of primes	1940	S. S. Pillai
+	Waring’s problem with indices ≥n	1940	S. S. Pillai
+	Waring–Goldbach problem: two squares and some unlike powers	2014	Yingchun Cai Quanwu Mu
+	Note on Waring's problem (mod p)	1973	Aimo Tietäväinen
+ PDF Chat	A new universal Waring theorem for eighth powers	1935	Alvin Sugar
+	Some new results in Waring's problem	1996	Zaizhao Meng

Works That Cite This (37)

Action	Title	Year	Authors
+ PDF Chat	Waring’s problem for Beatty sequences and a local to global principle	2014	William D. Banks Ahmet M. Güloğlu R. C. Vaughan
+	Estimates for smooth Weyl sums on minor arcs	2024	Jörg Brüdern Trevor D. Wooley
+	Waring's problem: A survey	2002	RC Vaughan TD Wooley
+	Waring’s problem with digital restrictions	2005	Jörg Μ. Thuswaldner Robert F. Tichy
+ PDF Chat	Estimates for Smooth Weyl Sums on Major Arcs	2024	Jörg Brüdern Trevor D. Wooley
+ PDF Chat	Small fractional parts of binary forms	2023	Kiseok Yeon
+	On diophantine inequalities: Freeman's asymptotic formulae	2003	Trevor D. Wooley
+	HUA‐TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS	2012	Scott T. Parsell
+ PDF Chat	Additive representation in thin sequences, VI: representing primes, and related problems	2002	J. Brdern K. Kawada Trevor D. Wooley
+	On Vu's thin basis theorem in Waring's problem	2003	Trevor D. Wooley

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour	1995	Jörg Brüdern Trevor D. Wooley
+ PDF Chat	The application of a new mean value theorem to the fractional parts of polynomials	1993	Trevor D. Wooley
+	Further improvements in Waring’s problem, II: Sixth powers	1994	R. C. Vaughan Trevor D. Wooley
+	A New Iterative Method in Waring's Problem II	1989	R. C. Vaughan
+	The number of integral points on arcs and ovals	1989	Enrico Bombieri Jonathan Pila
+ PDF Chat	On Waring's Problem for Cubes and Smooth Weyl Sums	2001	Jörg Brüdern Trevor D. Wooley
+	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
+	Further improvements in Waring’s problem. Ill Eighth powers	1993	RC Vaughan Td Wooley Trevor D. Wooley
+	Some new results in Waring's problem	1996	Zaizhao Meng