ON THE NUMBER OF POINTS OF A HYPERELLIPTIC CURVE OVER A FINITE PRIME FIELD

S. A. Stepanov

Type: Article

Publication Date: 1969-10-31

Citations: 50

DOI: https://doi.org/10.1070/im1969v003n05abeh000834

View Publication

Locations

Mathematics of the USSR-Izvestiya - View

Similar Works

Action	Title	Year	Authors
+	On the congruence class modulo prime numbers of the number of rational points of a variety	2016	Lucile Devin
+	On the number of point of given order on odd degree hyperelliptic curves	2020	John Boxall
+	On the number of point of given order on odd degree hyperelliptic curves	2020	John Boxall
+	On the congruence class modulo prime numbers of the number of rational points of a variety	2016	Lucile Devin
+ PDF Chat	On the Congruence Class Modulo Prime Numbers of the Number of Rational Points of a Variety	2017	Lucile Devin
+	ON THE NUMBER OF POINTS OF GIVEN ORDER ON ODD-DEGREE HYPERELLIPTIC CURVES	2023	John Boxall
+	An elementary proof of the Hasse-Weil theorem for hyperelliptic curves	1972	S. A. Stepanov
+ PDF Chat	HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES	2011	M. Valentina Vega
+ PDF Chat	The number of rational points of hyperelliptic curves over subsets of finite fields	2019	Kristina Nelson József Solymosi Foster Tom Ching Wong
+	Hypergeometric Functions over Finite Fields and their relations to Algebraic Curves	2010	M. Valentina Vega
+	Hypergeometric Functions over Finite Fields and their relations to Algebraic Curves	2010	M. Valentina Vega
+	On the number of rational points on an algebraic curve over a finite field	1998	J. W. P. Hirschfeld Gábor Korchmáros
+	On the number of rational points of curves over finite fields	2013	Nurdagül Anbar Henning Stichtenoth
+	On the number of Fp-valued points of elliptic curves	2013	Shinnya Okumura
+	On The Number Of Galois Points For Plane Curves Of Prime Degree	2003	Ma. Cristina Duyaguit Kei Miura
+	Number of points on certain hyperelliptic curves defined over finite fields	2006	N. Anuradha
+	The number of hyperelliptic curves over a finite field: recent results	2001	Luis Hernández Encinas J. Muñoz Masqué
+	An introduction to hyperelliptic curve arithmetic	2016	Renate Scheidler
+	Chabauty and the Mordell-Weil Sieve.	2015	Samir Siksek
+	On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields	2005	Ulf Kühn

Works That Cite This (49)

Action	Title	Year	Authors
+	Markoff triples and strong approximation	2016	Jean Bourgain Alexander Gamburd Peter Sarnak
+	The two-variable zeta function and the Riemann hypothesis for function fields	2007	Machiel van Frankenhuijsen
+ PDF Chat	The Riemann hypothesis over finite fields: from Weil to the present day	2016	J. S. Milne
+	Some new inequalities in additive combinatorics	2012	Ilya D. Shkredov
+	An epsilon of room, I : real analysis : pages from year three of a mathematical blog	2010	Terence Tao
+	An elementary method in algebraic number theory	1978	S. A. Stepanov
+	Kloosterman Sums, Disjointness, and Equidistribution	2018	Manfred Einsiedler Manuel Luethi
+ PDF Chat	A promenade through correct test sequences I: Degree of constructible sets, Bézout's Inequality and density	2021	Luis Miguel Pardo Sebastian Daniel
+ PDF Chat	Classical Kloosterman sums: Representation theory, magic squares, and Ramanujan multigraphs	2011	Patrick S. Fleming Stephan Ramon Garcia Gizem Karaali
+	Interpolation of Fermat Quotients	2014	Zhixiong Chen Arne Winterhof

Works Cited by This (4)

Action	Title	Year	Authors
+	Abstrakte begründung der komplexen multiplikation und riemannsche vermutung in funktionenkörpern	1934	Helmut Hasse
+	The number of solutions of some congruences in two variables	1933	L. J. Mordell
+	On the Distribution of Quadratic Residues (mod <i>p</i> )	1931	H. Davenport
+	Sur les courbes algébriques et les variétés qui s'en déduisent	1948	André Weil