A Note on Simultaneous Congruences

Trevor D. Wooley

Type: Article

Publication Date: 1996-06-01

Citations: 42

DOI: https://doi.org/10.1006/jnth.1996.0078

View Publication

Locations

Journal of Number Theory - View

Similar Works

Action	Title	Year	Authors
+	On the Solution of Simultaneous Congruences of a Certain Type	1985	Akira Kono
+	Simultaneous additive congruences to a large prime modulus	1992	O. D. Atkinson Jörg Brüdern Roger Cook
+	Simultaneous Diophantine Approximation with Primes	1989	Glyn Harman
+	Congruences and integral roots of D’Arcais polynomials	2023	S. Sriram A. David Christopher
+	On the roots of a well-known congruence	1945	R. C. Bose S. Chowla C. R. Rao
+	Small solutions of congruences with prime modulus	1986	Wolfgang M. Schmidt
+ PDF Chat	Note on simultaneous quadratic congruences	1957	L. J. Mordell
+ PDF Chat	None	2017
+ PDF Chat	A system of simultaneous congruences arising from trinomial exponential sums	2006	Todd Cochrane Jeremy P. Coffelt Christopher Pinner
+	Regular solutions of a congruence system	1991	Catalina Calderón García M. J. de Velasco
+	Simultaneous Diophantine Approximation Using Primes	1988	Antal Balog John Friedlander
+ PDF Chat	Solutions of the congruence	2015	J. M. Grau Pieter Moree Antonio M. Oller‐Marcén
+	Congruences	1976	Tom M. Apostol
+	Polynomial equations modulo prime numbers	2022	Arnaud Bodin Pierre Dèbes Salah Najib
+ PDF Chat	Polynomial equations modulo prime numbers	2022	Arnaud Bodin Pierre Dèbes Salah Najib
+	Roots of polynomial congruences	2019	Matthew Welsh
+ PDF Chat	Congruences connected with the solution of a certain diophantine equation	1945	Harold F. S. Jonah
+	On a system of equations with primes	2012	Paolo Leonetti Salvatore Tringali
+	The Chinese Remainder Theorem and Simultaneous Congruences	2006
+	The Chinese Remainder Theorem and Simultaneous Congruences	2008	Manfred R. Schroeder

Works That Cite This (36)

Action	Title	Year	Authors
+	Partial Derivatives in Arithmetic Complexity and Beyond	2010	Xi Chen Neeraj Kayal Avi Wigderson
+	An improved Mordell type bound for exponential sums	2004	Todd Cochrane Christopher Pinner
+ PDF Chat	Nested efficient congruencing and relatives of Vinogradov's mean value theorem	2018	Trevor D. Wooley
+	Extractors for varieties	2011	Zeev Dvir
+	A note on multiple exponential sums in function fields	2011	Xiaomei Zhao
+	The cubic case of the main conjecture in Vinogradov's mean value theorem	2016	Trevor D. Wooley
+	Deterministic Extractors for Algebraic Sources	2008	Zeev Dvir
+ PDF Chat	Bounds on fewnomial exponential sums over ℤ<sub><i>p</i></sub>	2010	Todd Cochrane Christopher Pinner
+ PDF Chat	APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM	2016	Trevor D. Wooley
+	A generalization of Vinogradov's mean value theorem	2005	Scott T. Parsell

Works Cited by This (5)

Action	Title	Year	Authors
+	On exponential sums over smooth numbers.	1997	Trevor D. Wooley
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy
+ PDF Chat	On Vinogradov's mean value theorem	1992	Trevor D. Wooley
+	None	1995	Kevin Ford
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.