W. Dale Brownawell

W. Dale Brownawell's AcademicInfluence.com Rankings

W. Dale Brownawell

Mathematics

#2880

World Rank

#4357

Historical Rank

#1110

USA Rank

Measure Theory

#4730

World Rank

#5538

Historical Rank

#1314

USA Rank

mathematics Degrees

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Mathematics

Why Is W. Dale Brownawell Influential?

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According to Wikipedia, Woodrow Dale Brownawell is an American mathematician who has performed research in number theory and algebraic geometry. He is a Distinguished Professor emeritus at Pennsylvania State University, and is particularly known for his proof of explicit degree bounds that can be used to turn Hilbert's Nullstellensatz into an effective algorithm.

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W. Dale Brownawell's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Bounds for the degrees in the Nullstellensatz (1987) (294)
Vanishing sums in function fields (1986) (139)
Determination of the algebraic relations among special Γ-values in positive characteristic (2002) (126)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Multiplicity estimates for analytic functions II (1980) (50)
Local Diophantine Nullstellen inequalities (1988) (43)
The algebraic independence of Weierstrass functions and some related numbers (1977) (43)
LINEAR INDEPENDENCE OF GAMMA VALUES IN POSITIVE CHARACTERISTIC (2001) (42)
Multiplicity estimates for analytic functions. I. (1980) (31)
A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives (2018) (31)
The algebraic independence of certain numbers related by the exponential function (1974) (26)
Sequences of Diophantine approximations (1974) (18)
Linear independence and divided derivatives of a Drinfeld module II (2000) (16)
On The Factorization of Partial Differential Equations (1987) (14)
A pure power product version of the Hilbert Nullstellensatz. (1998) (14)
Lower bounds for zero-dimensional projections (2009) (14)
Zero estimates with moving targets (2017) (13)
Minimal Extensions of Algebraic Groups and Linear Independence (2001) (13)
The algebraic independence of certain numbers to algebraic powers (1977) (11)
Gelfond’s method for algebraic independence (1975) (11)
Determination of the algebraic relations among special Gamma-values in positive characteristic (2002) (10)
On the development of Gelfond's method (1979) (10)
Large transcendence degree revisited: I. Exponential and non-CM cases (1987) (8)
On p-adic zeros of forms (1984) (8)
TRANSCENDENCE IN POSITIVE CHARACTERISTIC (2008) (7)
On the Gelfond-Feldman measure of algebraic independence (1979) (7)
Submodules of Products of Quasi-Periodic Modules (1996) (5)
Applications of Cayley-Chow forms (1989) (5)
On the orders of zero of certain functions (1980) (5)
Large transcendence degree revisited (1987) (5)
Pairs of polynomials small at a number to certain algebraic powers (1976) (4)
Effectivity in independence measures for values of E-functions (1985) (4)
Note on a paper of P. Philippon. (1987) (4)
Unlikely intersections for curves in additive groups over positive characteristic (2017) (4)
Gel\cprime fond's theorem for Drinfel\cprime d modules. (1994) (4)
A Measure of Linear Independence for Some Exponential Functions II (1979) (4)
The algebraic independence of certain exponential functions (1976) (3)
Distance to common zeros and lower bounds for polynomials (1992) (2)
Function Field Analogue of Shimura's Conjecture on Period Symbols (2022) (2)
New Advances in Transcendence Theory: Aspects of the Hilbert Nullstellensatz (1988) (1)
An “ideal” transcendence measure (1986) (1)
Unlikely intersections for curves in products of Carlitz modules (2022) (0)
Program - NCTS 2007 Conference on Galois Representations and Function Field Arithmetic (2007) (0)
A process for reducing the content of precursor compounds of sludge in lubricating oils undlack (1994) (0)

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