Patrick Sargos

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All published works

Action	Title	Year	Authors
+ PDF Chat	A mean-value theorem for exponential sums. Applications to Weyl's inequality	2023	Olivier Robert Patrick Sargos
+	A mean-value theorem for exponential sums. Applications to Weyl's inequality	2023	Olivier Robert Patrick Sargos
+	A fourth derivative test for exponential sums	2023	Robert Osman Patrick Sargos
+ PDF Chat	The multidimensional van der Corput transformation	2015	Patrick Sargos
+ PDF Chat	None	2013	Lev Borisov Patrick Sargos Dan Abramovich Steven Dale Cutkosky Kalle Karu
+ PDF Chat	On the higher moments of the error term in the divisor problem	2007	Aleksandar Ivić Patrick Sargos
+	Three-dimensional exponential sums with monomials	2006	O. Robert Patrick Sargos
+ PDF Chat	Points entires au voisinage d'une courbe plane de classe {$C^n$}, II	2006	M. N. Huxley Patrick Sargos
+ PDF Chat	A general bound for oscillatory integrals with a polynomial phase of degree $k$	2006	O. Robert Patrick Sargos
+	Points entiers au voisinage d'une courbe plane de classe $C\spn$. II	2006	Patrick Sargos M. N. Huxley
+ PDF Chat	Oscillating integrals and Newton polyhedra	2005	Jan Denef Johannes Nicaise Patrick Sargos
+	On the higher moments of the error term in the divisor problem	2004	Aleksandar Ivić Patrick Sargos
+	Oscillating integrals and Newton polyhedra	2004	Jan Denef Johannes Nicaise Patrick Sargos
+ PDF Chat	A third derivative test for mean values of exponential sums with application to lattice point problems	2003	O. Robert Patrick Sargos
+ PDF Chat	An analog of van der Corput's A<sup>4</sup>-process for exponential sums	2003	Patrick Sargos
+ PDF Chat	A third derivative test for mean values of exponential sums with application to lattice points problems	2003	Olivier Robert Patrick Sargos
+ PDF Chat	None	2002	O. Robert Patrick Sargos
+ PDF Chat	Nombres premiers de la forme ⌊n<sup>c</sup>⌋	2001	Joël Rivat Patrick Sargos
+	Un Critère De La Dérivée Cinquième Pour Les Sommes D'Exponentielles	2000	Patrick Sargos
+	None	2000	Patrick Sargos Jie Wu
+	ON THE LARGEST NONTRIVAL POLE OF THE DISTRIBUTION $\|f\|^s$	1997	Jan Denef A. Laeremans Patrick Sargos
+	Points Entiers Au Voisinage D'une Courbe, Sommes Trigonométriques Courtes ET Paires D'exposants	1995	Patrick Sargos
+ PDF Chat	Points entiers au voisinage d'une courbe plane de classe Cⁿ	1995	M. N. Huxley Patrick Sargos
+	Poly�dre de Newton et distributionf + s . II	1992	Jan Denef Patrick Sargos
+	Polyedre de Newton et distributionf + s . I	1989	Jan Denef Patrick Sargos
+	Séries de Dirichlet associées à des polynomes de plusieurs variables	1987	Patrick Sargos
+ PDF Chat	Prolongement méromorphe des séries de Dirichlet associées à des fractions rationnelles de plusieurs variables	1984	Patrick Sargos

Common Coauthors

Coauthor	Papers Together
Jan Denef	5
O. Robert	4
M. N. Huxley	3
Olivier Robert	3
Johannes Nicaise	2
Aleksandar Ivić	2
Joël Rivat	1
Dan Abramovich	1
Steven Dale Cutkosky	1
Lev Borisov	1
A. Laeremans	1
Jie Wu	1
Kalle Karu	1
Robert Osman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Van der Corput's Method of Exponential Sums	1991	S. W. Graham Grigori Kolesnik	9
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley	6
+	Exponential sums with monomials	1989	Étienne Fouvry Henryk Iwaniec	4
+	Some mean-value theorems for exponential sums	1986	Enrico Bombieri Henryk Iwaniec	3
+	Newton polyhedra and estimation of oscillating integrals	1977	Alexander Varchenko	3
+ PDF Chat	Les singularités des applications différentiables	1956	René Thom	2
+ PDF Chat	Quelques conséquences locales de la théorie de Hodge	1985	François Loeser	2
+	Polyedre de Newton et distributionf + s . I	1989	Jan Denef Patrick Sargos	2
+	Points Entiers Au Voisinage D'une Courbe, Sommes Trigonométriques Courtes ET Paires D'exposants	1995	Patrick Sargos	2
+	Zeta-function of monodromy and Newton's diagram	1976	Alexander Varchenko	2
+	The Distribution of Fractional Parts with Applications to Gap Results in Number Theory	1996	Michael Filaseta Ognian Trifonov	2
+ PDF Chat	On the number of abelian groups of a given order (supplement)	1993	Hongquan Liu	2
+	Exponential sums with a large second derivative	2013	M. N. Huxley Grigori Kolesnik	2
+	Meromorphic property of the functions p?	1969	I. N. Bernshtein Sergei Gelfand	2
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин	2
+	The integer points close to a curve	1989	M. N. Huxley	2
+	Almost Primes in Short Intervals	1996	H.-Q. Liu	1
+	The number of lattice points on a convex curve	1974	H. P. F. Swinnerton-Dyer	1
+	Exponential Sums and the Riemann Zeta-Function II	1989	Nigel Watt	1
+	Exponential Sums and Rounding Error	1991	M. N. Huxley	1
+	Exponential sums and the Riemann zeta function v	2004	M. N. Huxley	1
+	Distribution of primes in sequences of the form [nc]	1967	Grigori Kolesnik	1
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	1
+	Poly�dre de Newton et distributionf + s . II	1992	Jan Denef Patrick Sargos	1
+	Estimates of trigonometric sums by the third derivative	1996	С. А. Гриценко	1
+	On the asymptotic behaviour of the number of subgroups of finite abelian groups	1997	Gautami Bhowmik Jie Wu	1
+	The Pjateckiĭ-S̆apiro prime number theorem	1983	D. R. Heath‐Brown	1
+	A problem on square roots of integers	1990	Nigel Watt	1
+	Minimal characteristic exponent of the Gauss-Manin connection of isolated singular point and Newton polyhedron	1982	Fritz Ehlers Kam-Chan Lo	1
+	Primzahlen der Gestalt [f(n)]	1975	Dieter Leitmann Dieter Wolke	1
+	On the Average Number of Direct Factors of a Finite Abelian Group	2000	Jie Wu	1
+	Lattice Points in Large Convex Bodies	1999	Wolfgang Müller	1
+	Poly�dres de Newton et nombres de Milnor	1976	A. G. Kouchnirenko	1
+	Large values of the error term in the divisor problem	1983	Aleksandar Ivić	1
+	On Dirichlet's Divisor Problem	1917	G. H. Hardy	1
+	On the divisor and circle problems	1988	Henryk Iwaniec C. J. Mozzochi	1
+ PDF Chat	On the estimates of double exponential sums	2007	Hongquan Liu	1
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	1
+	Exponnential Sums with a Parameter	1989	M. N. Huxley Nigel Watt	1
+ PDF Chat	Local monomialization of transcendental extensions	2005	Steven Dale Cutkosky	1
+	Error terms in the summatory formulas for certain number-theoretic functions	1999	Yuk-Kam Lau	1
+	Fonctions D'Igusa p-adiques et Polynomes de Berstein	1988	François Loeser	1
+	On the Order of ζ(1/2+it)	1949	Szu-Hoa Min	1
+ PDF Chat	Prime Numbers in Short Intervals and a Generalized Vaughan Identity	1982	D. R. Heath‐Brown	1
+ PDF Chat	Nombres de racines d'un polynôme entier modulo $q$	1998	Monique Branton Olivier Ramaré	1
+ PDF Chat	Intégrales asymptotiques et monodromie	1974	Bernard Malgrange	1
+	On the order of $\zeta (\frac{1}{2} + it)$	1986	Enrico Bombieri Henryk Iwaniec	1
+ PDF Chat	ERROR TERM IMPROVEMENTS FOR VAN DER CORPUT TRANSFORMS	2014	Joseph Vandehey	1
+ PDF Chat	On lattice points in large convex bodies	2011	Jingwei Guo	1
+	The lattice point problem of many dimensional hyperboloids. III	1965	Bhuvana Srinivasan	1