B. J. Birch

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All published works

Action	Title	Year	Authors
+ PDF Chat	Shabat trees of diameter 4: appendix to a paper of Zvonkin	2009	B. J. Birch
+ PDF Chat	Albrecht Fröhlich. 22 May 1916 – 8 November 2001	2005	B. J. Birch M. J. Taylor
+ PDF Chat	Heegner Points: The Beginnings	2004	B. J. Birch
+	Noncongruence Subgroups, Covers and Drawings	1994	B. J. Birch
+	Dividing the Primes into Two Subsets with Nearly the Same Number of Products	1993	B. J. Birch E. J. Scourfield
+ PDF Chat	When does an affine curve have an algebraic integer point?	1985	B. J. Birch
+	Appendix: On Some Exponential Sums	1985	B. J. Birch Enrico Bombieri
+ PDF Chat	On the orbit-sizes of permutation groups containing elements separating finite subsets	1976	B. J. Birch R. G. Burns Sheila Oates Macdonald Peter Neumann
+	A look back at Ramanujan's Notebooks	1975	B. J. Birch
+	Sources and reliability of the tables	1975	B. J. Birch Willem Kuyk
+	Ellitpic curves and modular functions	1975	H. P. F. Swinnerton-Dyer B. J. Birch
+ PDF Chat	Modular Functions of One Variable IV	1975	B. J. Birch
+	On a problem of Chowla	1973	A. Baker B. J. Birch Eduard Wirsing
+ PDF Chat	Finiteness Theorems for Binary Forms with Given Discriminant	1972	B. J. Birch J. R. Merriman
+	Computers in number theory : proceedings of the Science Research Council Atlas Symposium no. 2 held at Oxford, from 18-23 August, 1969	1971	A. O. L. Atkin B. J. Birch
+	Small Zeros of Diagonal Forms of Odd Degree in Many Variables	1970	B. J. Birch
+	Weber's class invariants	1969	B. J. Birch
+	How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies	1968	B. J. Birch
+	Multiplicative Functions with Non-Decreasing Normal Order	1967	B. J. Birch
+	A CRITERION FOR THE <i>p</i>-ADIC SOLUBILITY OF DIOPHANTINE EQUATIONS	1967	B. J. Birch K. McCann
+	The parity of the rank of the mordell-weil group	1966	B. J. Birch N. M. Stephens
+ PDF Chat	Systems of three quadratic forms	1965	B. J. Birch D. J. Lewis
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer
+ PDF Chat	Waring's problem for p-adic number fields	1964	B. J. Birch
+ PDF Chat	Diagonal equations over p-adic fields	1964	B. J. Birch
+	Forms in many variables	1962	B. J. Birch
+ PDF Chat	On ${\germ p}$-adic forms.	1962	B. J. Birch D. J. Lewis
+	Simultaneous Quadratic Forms	1962	B. J. Birch D. J. Lewis T. G. Murphy
+ PDF Chat	Note on Weyl's inequality	1962	B. J. Birch H. Davenport
+	Waring's problem in algebraic number fields	1961	B. J. Birch
+	Note on a problem of Erdős	1959	B. J. Birch
+	On 3<i>N</i> points in a plane	1959	B. J. Birch
+	The inhomogeneous minimum of an indefinite quadratic form	1959	G. L. Watson B. J. Birch
+	ρ-Adic Forms	1959	B. J. Birch D. J. Lewis
+ PDF Chat	Note on a problem of Chowla	1959	B. J. Birch H. P. F. Swinnerton-Dyer
+	Indefinite quadratic forms in many variables	1958	B. J. Birch H. Davenport
+	Quadratic equations in several variables	1958	B. J. Birch H. Davenport
+ PDF Chat	On a theorem of Davenport, and Heilbronn	1958	B. J. Birch H. Davenport
+	The inhomogeneous minimum of quadratic forms of signature zero	1958	B. J. Birch
+	Homogeneous forms of odd degree in a large number of variables	1957	B. J. Birch
+	Another transference theorem of the geometry of numbers	1957	B. J. Birch
+	On the inhomogeneous minimum of the product of <i>n</i> linear forms	1956	B. J. Birch H. P. F. Swinnerton-Dyer
+	A Transference Theorem of the Geometry of Numbers	1956	B. J. Birch

Common Coauthors

Coauthor	Papers Together
H. Davenport	4
D. J. Lewis	4
H. P. F. Swinnerton-Dyer	4
Willem Kuyk	1
N. M. Stephens	1
J. R. Merriman	1
E. J. Scourfield	1
Enrico Bombieri	1
G. L. Watson	1
Peter Neumann	1
Eduard Wirsing	1
T. G. Murphy	1
M. J. Taylor	1
A. Baker	1
R. G. Burns	1
A. O. L. Atkin	1
K. McCann	1
Sheila Oates Macdonald	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Bounds for the least solutions of homogeneous quadratic equations	1955	J. W. S. Cassels	3
+	Homogeneous forms of odd degree in a large number of variables	1957	B. J. Birch	3
+	Linear forms in the logarithms of algebraic numbers	1966	A. Baker	3
+	Diophantine Equations in Algebraic Number Fields	1949	L. G. Peck	3
+	Quadratic equations in several variables	1958	B. J. Birch H. Davenport	2
+	Lehrbuch der Algebra	1921	Heinrich Weber	2
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	2
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	2
+	Indefinite quadratic forms in many variables	1956	H. Davenport	2
+ PDF Chat	On the Waring problem in an algebraic number field.	1958	Tikao Tatuzawa	2
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	2
+	Generalization of Waring's Problem to Algebraic Number Fields	1944	Carl Ludwig Siegel	2
+	Modular forms and Dirichlet series	1969	A. P. Ogg	2
+	Sums of m th Powers of Algebraic Integers	1945	Carl Ludwig Siegel	2
+	Galois module structure and rootnumbers for quaternion extensions of degree 2n	1980	A. Fröhlich	1
+	Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.	1965	J. W. S. Cassels	1
+ PDF Chat	A proof of Bertrand's postulate	2012	Andrea Asperti Wilmer Ricciotti	1
+	The Conjectures of Birch and Swinnerton-Dyer, and of Tate	1967	Peter Swinnerton‐Dyer	1
+	The Method of Trigonometrical Sums in the Theory of Numbers	2004	Ivan Matveevich Vinogradov K. F. Roth Anne Ashley Davenport	1
+ PDF Chat	Euclidean number fields of large degree	1976	H. W. Lenstra	1
+	Tame representations, local principal orders and local Weil groups	1985	A. Fröhlich	1
+ PDF Chat	Baer-invariants of algebras	1963	A. Fröhlich	1
+	On the factorisation of polynomials in a finite number of steps	1955	Albrecht Fr�hlich J. C. Shepherdson	1
+	On Some Affine Invariants of Closed Convex Regions	1939	Β Neumann	1
+	Forms over rings with involution	1969	A. Fro ̈hlich A.M. McEvett	1
+	On lattice points in <i>n</i> -dimensional star bodies I. Existence theorems	1946	Kurt Mahler L. J. Mordell	1
+	Ueber die kleinste Kugel, die eine räumliche Figur einschliesst.	1901	Heinrich W. E. Jung	1
+ PDF Chat	On non‐ramified extensions with prescribed Galois group	1962	A. Fröhlich	1
+ PDF Chat	On Waring’s problem for cubes	1939	H. Davenport	1
+	Class Groups and Picard Groups of Orders	1974	A. Fröhlich Irving Reiner Stephen V. Ullom	1
+	Zum Beweise des Starkschen Satzes	1968	Carl Ludwig Siegel	1
+ PDF Chat	Correspondances modulaires et les fonctions $\zeta$ de courbes alg\'ebriques.	1958	Par Goro SHIMURA	1
+	Finite groups in which the centralizer of any non-identity element is nilpotent	1960	Walter Feit Marshall Hall John G. Thompson	1
+	Galois Module Structure of Algebraic Integers	1983	A. Fröhlich	1
+ PDF Chat	Additive Theorie der Zahlk�rper. I.	1922	Carl Ludwig Siegel	1
+	On exponential sums in finite fields, II	1978	Enrico Bombieri	1
+	The arithmetic of elliptic curves	1974	John Tate	1
+ PDF Chat	Modèles minimaux des variétés abéliennes sur les corps locaux et globaux	1964	André Néron	1
+	Über eine Affininvariante von Eibereichen	1948	Wilhelm Süß	1
+	Zum Hauptidealsatz der komplexen Multiplikation	1931	Helmut Hasse	1
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	1
+	Value Distributions of Symplectic Root Numbers	1983	A. Fröhlich	1
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	1
+	Orthogonal and Symplectic Representations of Groups	1972	A. Fröhlich	1
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	1
+	Non-Abelian Homological Algebra III. The Functors <i>EXT</i> and <i>TOR</i>	1962	A. Fröhlich	1
+	On Indefinite Quadratic Forms in Five Variables	1946	H. Davenport H. Heilbronn	1
+	PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES	1972	Ju I Manin	1
+	On An Invariant of Plane Regions and Mass Distributions	1945	Β Neumann	1
+	Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion	1954	Martin Eichler	1