Research Output 1961 2020

1961
18 Citations (Scopus)
Diophantine equation
Number of Solutions
Class
1963
63 Citations (Scopus)
Lattice Points
Strictly Convex
Convex Body
Lower bound
2 Citations (Scopus)

Cohomology of Homogeneous Spaces

Baum, P. F., Jan 1 1963, In : Bulletin of the American Mathematical Society. 69, 4, p. 531-533 3 p.

Research output: Contribution to journalArticle

Homogeneous Space
Cohomology
1965
36 Citations (Scopus)

A simple proof of jacobi's triple product identity

Andrews, G. E., Jan 1 1965, In : Proceedings of the American Mathematical Society. 16, 2, p. 333-334 2 p.

Research output: Contribution to journalArticle

Jacobi's Triple Product Identity
63 Citations (Scopus)

The cohomology of quotients of classical groups

Baum, P. F. & Browder, W., Jun 1965, In : Topology. 3, 4, p. 305-336 32 p.

Research output: Contribution to journalArticle

Classical Groups
Cohomology
Quotient
1966
33 Citations (Scopus)

On basic hypergeometric series, mock theta functions, and partitions (I)

Andrews, G. E., Dec 1 1966, In : Quarterly Journal of Mathematics. 17, 1, p. 64-80 17 p.

Research output: Contribution to journalArticle

Mock theta Functions
Basic Hypergeometric Series
partitions
Partition
29 Citations (Scopus)

On basic hypergeometric series, mock theta functions, and partitions (II)

Andrews, G. E., Dec 1 1966, In : Quarterly Journal of Mathematics. 17, 1, p. 132-143 12 p.

Research output: Contribution to journalArticle

partitions
26 Citations (Scopus)

q-identities of auluck, carlitz, and rogers

Andrews, G. E., Jan 1 1966, In : Duke Mathematical Journal. 33, 3, p. 575-581 7 p.

Research output: Contribution to journalComment/debate

1967
9 Citations (Scopus)

A generalization of a partition theorem of MacMahon

Andrews, G. E., Jul 1967, In : Journal of Combinatorial Theory. 3, 1, p. 100-101 2 p.

Research output: Contribution to journalArticle

40 Citations (Scopus)

A generalization of the gollnitz-gordon partition theorems

Andrews, G. E., Jan 1 1967, In : Proceedings of the American Mathematical Society. 18, 5, p. 945-952 8 p.

Research output: Contribution to journalArticle

Partition
Theorem
Generalization
5 Citations (Scopus)

Entropy and approximations of dynamical systems by periodic transformations

Katok, A., Jan 1 1967, In : Functional Analysis and Its Applications. 1, 1, p. 66-74 9 p.

Research output: Contribution to journalArticle

Dynamical systems
Entropy
Dynamical system
Approximation
19 Citations (Scopus)

Enumerative proofs of certain q-identities

Andrews, G. E., Jan 1 1967, In : Glasgow Mathematical Journal. 8, 1, p. 33-40 8 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Local isomorphism of compact connected lie groups

Baum, P. F., Aug 1967, In : Pacific Journal of Mathematics. 22, 2, p. 197-204 8 p.

Research output: Contribution to journalArticle

Analytic group
Isomorphism
Lie Algebra
Covering
19 Citations (Scopus)

On Schur's second partition theorem

Andrews, G. E., Jan 1 1967, In : Glasgow Mathematical Journal. 8, 2, p. 127-132 6 p.

Research output: Contribution to journalArticle

Partition
Theorem
12 Citations (Scopus)

Partition theorems related to the Rogers-Ramanujan identities

Andrews, G. E., Jun 1967, In : Journal of Combinatorial Theory. 2, 4, p. 422-430 9 p.

Research output: Contribution to journalArticle

Rogers-Ramanujan Identities
Partition
Theorem
Ramanujan
Euler
11 Citations (Scopus)

Quadratic maps and stable homotopy groups of spheres

Baum, P. F., 1967, In : Illinois Journal of Mathematics. 11, 4, p. 586-595 10 p.

Research output: Contribution to journalArticle

Quadratic Map
Stable Homotopy
Homotopy Groups
21 Citations (Scopus)

Some new partition theorems

Andrews, G. E., Jun 1967, In : Journal of Combinatorial Theory. 2, 4, p. 431-436 6 p.

Research output: Contribution to journalArticle

Partition
Theorem
Integer
Form
10 Citations (Scopus)

Spectral properties of dynamical systems with an integral invariant on the torus

Katok, A. B., Oct 1967, In : Functional Analysis and Its Applications. 1, 4, p. 296-305 10 p.

Research output: Contribution to journalArticle

Spectral Properties
Torus
Dynamical systems
Dynamical system
Invariant
11 Citations (Scopus)

The real cohomology of differentiable fibre bundles

Baum, P. & Smith, L., Dec 1 1967, In : Commentarii Mathematici Helvetici. 42, 1, p. 171-179 9 p.

Research output: Contribution to journalArticle

Fiber Bundle
Differentiable
Cohomology
1968
5 Citations (Scopus)

On groups possessing property T

Vaserstein, L. N., Apr 1968, In : Functional Analysis and its Applications. 2, 2, p. 174 1 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

On partition functions related to schur's second partition theorem

Andrews, G. E., Apr 1968, In : Proceedings of the American Mathematical Society. 19, 2, p. 441-444 4 p.

Research output: Contribution to journalArticle

Partition Function
Partition
Theorem
42 Citations (Scopus)

On q-difference equations for certain well-poised basic hypergeometric series

Andrews, G. E., Dec 1 1968, In : Quarterly Journal of Mathematics. 19, 1, p. 433-447 15 p.

Research output: Contribution to journalArticle

difference equations
Difference equations
45 Citations (Scopus)

On the cohomology of homogeneous spaces

Baum, P. F., Jan 1 1968, In : Topology. 7, 1, p. 15-38 24 p.

Research output: Contribution to journalArticle

Homogeneous Space
Cohomology
1969
13 Citations (Scopus)

A generalization of the classical partition theorems

Andrews, G. E., Jan 1 1969, In : Transactions of the American Mathematical Society. 145, p. 205-221 17 p.

Research output: Contribution to journalArticle

Partition
Theorem
Generalization
19 Citations (Scopus)

Infinitesimal isometries and pontryagin numbers

Baum, P. & Cheeger, J., Apr 1969, In : Topology. 8, 2, p. 173-193 21 p.

Research output: Contribution to journalArticle

Isometry
13 Citations (Scopus)

K1-theory and the congruence problem

Vaserstein, L. N., Feb 1 1969, In : Mathematical Notes of the Academy of Sciences of the USSR. 5, 2, p. 141-148 8 p.

Research output: Contribution to journalArticle

Congruence
Subgroup
Elementary matrix
Special Linear Group
Non-commutative Rings

Mutual restrictions of curvature and area of a surface in a sphere of fixed diameter

Burago, Y. D., Jul 1969, In : Siberian Mathematical Journal. 10, 4, p. 611-630 20 p.

Research output: Contribution to journalArticle

Curvature
Restriction
9 Citations (Scopus)

On a calculus of partition functions

Andrews, G. E., Dec 1969, In : Pacific Journal of Mathematics. 31, 3, p. 555-562 8 p.

Research output: Contribution to journalArticle

Basic Hypergeometric Series
Partition Function
Calculus
Infinite product
Generating Function
6 Citations (Scopus)

On a partition theorem of Göllnitz and related formulae

Andrews, G. E., Jan 1 1969, In : Journal fur die Reine und Angewandte Mathematik. 1969, 236, p. 37-42 6 p.

Research output: Contribution to journalArticle

Partition
Theorem
32 Citations (Scopus)

On ramanujan's summation of

Andrews, G. E., Jan 1 1969, In : Proceedings of the American Mathematical Society. 22, 2, p. 552-553 2 p.

Research output: Contribution to journalArticle

Ramanujan
Summation
1 Citation (Scopus)

On the congruence problem for classical groups

Vaserstein, L. N., Jul 1 1969, In : Functional Analysis and Its Applications. 3, 3, p. 244-246 3 p.

Research output: Contribution to journalArticle

Classical Groups
Congruence
2 Citations (Scopus)

Some new partition theorems. II

Andrews, G. E., Nov 1969, In : Journal of Combinatorial Theory. 7, 3, p. 262-263 2 p.

Research output: Contribution to journalArticle

Stabilization in algebraic K-theory

Vaserstein, L. N., Apr 1 1969, In : Functional Analysis and Its Applications. 3, 2, p. 152-154 3 p.

Research output: Contribution to journalArticle

Algebraic K-theory
Stabilization
12 Citations (Scopus)

Two theorems of euler and a general partition theorem

Andrews, G. E., Jan 1 1969, In : Proceedings of the American Mathematical Society. 20, 2, p. 499-502 4 p.

Research output: Contribution to journalArticle

Euler
Partition
Theorem
1970
1 Citation (Scopus)

Linear extensions of dynamic systems and the reductibility problem

Katok, S., Oct 1 1970, In : Mathematical Notes of the Academy of Sciences of the USSR. 8, 4, p. 722-728 7 p.

Research output: Contribution to journalArticle

Linear Extension
Dynamic Systems
Cohomology
Reducibility
Cocycle
16 Citations (Scopus)

Metric properties of measure preserving homeomorphisms

Katok, A. & Stepin, A. M., Apr 30 1970, In : Russian Mathematical Surveys. 25, 2, p. 191-220 30 p.

Research output: Contribution to journalArticle

Metric
Automorphisms
Lebesgue Space
Ergodicity
Morphisms
1 Citation (Scopus)

Note on a partition theorem

Andrews, G. E., Jul 1970, In : Glasgow Mathematical Journal. 11, 2, p. 108-109 2 p.

Research output: Contribution to journalArticle

Partition
Theorem
18 Citations (Scopus)

On a problem of erdȍs, straus and schinzel

Vaughan, R. C., Jan 1 1970, In : Mathematika. 17, 2, p. 193-198 6 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)

On a transformation of bilateral series with applications

Andrews, G. E., Jan 1 1970, In : Proceedings of the American Mathematical Society. 25, 3, p. 554-558 5 p.

Research output: Contribution to journalArticle

Mock theta Functions
Hypergeometric Series
Series
Theorem
Generalization
10 Citations (Scopus)

On the representation of numbers as sums of powers of natural numbers

Vaughan, R. C., Jan 1 1970, In : Proceedings of the London Mathematical Society. s3-21, 1, p. 160-180 21 p.

Research output: Contribution to journalArticle

Sums of Powers
Natural number
21 Citations (Scopus)

Stabilization of Unitary and Orthogonal groups Over a Ring with Involution

Vaseršteῐn, L. N., Apr 30 1970, In : Mathematics of the USSR - Sbornik. 10, 3, p. 307-326 20 p.

Research output: Contribution to journalArticle

Orthogonal Group
Unitary group
Involution
Stabilization
Ring
5 Citations (Scopus)

The normal subgroups of the orthogonal group over a ring with an involution

Vasershtein, L. N. & Mikhalev, A. V., Nov 1970, In : Algebra and Logic. 9, 6, p. 375-377 3 p.

Research output: Contribution to journalArticle

Orthogonal Group
Normal subgroup
Involution
Ring
5 Citations (Scopus)

Vector fields and gauss-bonnet

Baum, P. F., Nov 1970, In : Bulletin of the American Mathematical Society. 76, 6, p. 1202-1211 10 p.

Research output: Contribution to journalArticle

Chern Classes
Gauss
Vector Field
Characteristic Classes
Index Theorem
1971
4 Citations (Scopus)

A new property of partitions with applications to the Rogers-Ramanujan identities

Andrews, G. E., May 1971, In : Journal of Combinatorial Theory, Series A. 10, 3, p. 266-270 5 p.

Research output: Contribution to journalArticle

Rogers-Ramanujan Identities
Partition
Closed interval
Generating Function
Distinct
24 Citations (Scopus)

Congruence properties of the m-ary partition function

Andrews, G. E., Jan 1 1971, In : Journal of Number Theory. 3, 1, p. 104-110 7 p.

Research output: Contribution to journalArticle

Partition Function
Congruence
Odd
Partition
Denote

On a conjecture of guinand for the plane partition function

Andrews, G., Jun 1971, In : Proceedings of the Edinburgh Mathematical Society. 17, 3, p. 275-276 2 p.

Research output: Contribution to journalArticle

Plane Partitions
Partition Function
10 Citations (Scopus)

On a partition problem of H. L. alder

Andrews, G. E., Feb 1971, In : Pacific Journal of Mathematics. 36, 2, p. 279-284 6 p.

Research output: Contribution to journalArticle

Partition
Congruent
7 Citations (Scopus)

On a theorem of Schur and Gleissberg

Andrews, G. E., Dec 1 1971, In : Archiv der Mathematik. 22, 1, p. 165-167 3 p.

Research output: Contribution to journalArticle

Theorem
163 Citations (Scopus)

Stable rank of rings and dimensionality of topological spaces

Vaserstein, L. N., Apr 1 1971, In : Functional Analysis and Its Applications. 5, 2, p. 102-110 9 p.

Research output: Contribution to journalArticle

Stable Rank
Topological space
Dimensionality
Ring
1972
2 Citations (Scopus)

Lambert series, false theta functions, and partitions

Andrews, G. E., Jan 1 1972, In : Rocky Mountain Journal of Mathematics. 2, 1, p. 49-56 8 p.

Research output: Contribution to journalArticle

Lambert Series
Theta Functions
Partition
False