On Weyl sums over primes and almost primes

Angel Kumchev

Type: Article

Publication Date: 2006-08-01

Citations: 67

DOI: https://doi.org/10.1307/mmj/1156345592

Abstract

On Weyl Sums over Primes and Almost PrimesA ng e l V. Ku m c h evwhere ρ(2) = 1 7 and ρ(k) = 2 3 × 2 -k for k ≥ 3.They applied this bound to obtain new results on the distribution of αp k modulo 1.On the other hand, research on

Locations

The Michigan Mathematical Journal - View - PDF

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Works That Cite This (68)

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+	On Waring–Goldbach problem with Piatetski-Shapiro primes	2017	Yıldırım Akbal Ahmet M. Güloğlu
+	Goldbach–Linnik type problems with unequal powers of primes	2017	Zhixin Liu
+	Partitions with multiplicities associated with divisor functions	2023	Bruce C. Berndt Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+	A Ternary Problem in Additive Prime Number Theory	2016	Jörg Brüdern
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+	Waring-Goldbach problem for unlike powers	2019	Zhenzhen Feng Jing Ma
+	On the Distribution of Traces of Frobenius of Rational Elliptic Curves	2012	Brandon Tran Minh-Tam Trinh Phil Wertheimer
+	The values of cubic forms at prime arguments	2017	Wenxu Ge Feng Zhao
+	Density of integers that are the sum of four cubes of primes in short intervals	2016	H. Liu Feng Zhao
+ PDF Chat	The exceptional set for Diophantine inequality with unlike powers of prime variables	2018	Wenxu Ge Feng Zhao

Works Cited by This (26)

Action	Title	Year	Authors
+	On Averages of Exponential Sums over Primes	1987	Glyn Harman
+ PDF Chat	The exceptional set in the four prime squares problem	2000	Jianya Liu Ming-Chit Liu
+	Additive Theory of Prime Numbers	2009	Hua Liu
+	On the Waring–Goldbach problem for seventh powers	2005	Angel Kumchev
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+ PDF Chat	On the Waring-Goldbach Problem for Fourth and Fifth Powers	2001	Koichi Kawada Trevor D. Wooley
+	On the Distribution of <i>αp</i> Modulo One II	1996	Glyn Harman
+ PDF Chat	Slim Exceptional Sets for Sums of Cubes	2002	Trevor D. Wooley
+	On the Exceptional Set for Goldbach's Problem in Short Intervals	1993	Alberto Perelli J. Pintz
+	Mean Value Theorems in Prime Number Theory	1975	R. C. Vaughan