Donald J. Newman

Q: What Schools Are Affiliated With Donald J. Newman

Donald J. Newman is affiliated with the following schools: University of Waterloo, University at Albany, SUNY, Temple University, Yeshiva University, Harvard University

Donald J. Newman's AcademicInfluence.com Rankings

Donald J. Newman

Mathematics

#788

World Rank

#1420

Historical Rank

#343

USA Rank

Measure Theory

#436

World Rank

#627

Historical Rank

#186

USA Rank

mathematics Degrees

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Mathematics

Why Is Donald J. Newman Influential?

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According to Wikipedia, Donald Joseph Newman was an American mathematician. He gave simple proofs of the prime number theorem and the Hardy-Ramanujan partition formula. He excelled on multiple occasions at the annual Putnam competition while studying at City College of New York and New York University, and later received his PhD from Harvard University in 1953.

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Donald J. Newman'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

UCI Repository of Machine Learning Database (1998) (1145)
Rational approximation to | x (1964) (280)
The Double Dixie Cup Problem (1960) (159)
Arithmetic, Geometric Inequality (1960) (150)
Simple Analytic Proof of the Prime Number Theorem (1980) (129)
Yet more on the linear search problem (1970) (117)
Some theorems on Čebyšev approximation (1963) (115)
Conviction : the determination of guilt or innocence without trial (1967) (109)
The hexagon theorem (1982) (99)
Tesselation of integers (1977) (82)
Approximation with rational functions (1976) (81)
Extensions of the birthday surprise (1967) (79)
Location of the Maximum on Unimodal Surfaces (1965) (79)
Pleading Guilty for Considerations: A Study of Bargain Justice (1956) (74)
On the number of binary digits in a multiple of three (1969) (72)
Certain Hilbert spaces of entire functions (1966) (55)
The L 4 norm of a polynomial with coefficients (1990) (52)
A problem seminar (1984) (48)
Derivative bounds for Müntz polynomials (1976) (47)
Jackson’s Theorem in Higher Dimensions (1964) (46)
Introduction to Criminal Justice (1975) (45)
Cyclic Pursuit or “the Three Bugs Problem” (1971) (43)
A simple proof of Wiener’s 1/ theorem (1975) (42)
The Taylor coefficients of inner functions. (1962) (40)
On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions (1983) (39)
Interpolation in H (1959) (38)
An ¹ extremal problem for polynomials (1965) (37)
The level curves of harmonic functions (1966) (37)
Waring's Problem for the Ring of Polynomials (1979) (36)
A note on growing binary trees (1973) (36)
Analytic Number Theory (1997) (34)
Public Attitudes Toward a Form of White Collar Crime (1957) (32)
Approximation of monomials by lower degree polynomials (1976) (32)
Random coverings (1977) (29)
The zeros of the partial sums of the exponential function (1972) (29)
PIECEWISE MONOTONE POLYNOMIAL APPROXIMATION (1972) (27)
A Model for “Real” Poker (1959) (27)
An extremal problem for the geometric mean of polynomials (1973) (26)
Rational combinations of xλk, λk ⩾ 0 are always dense in C[0, 1] (1978) (24)
One-one polynomial maps (1960) (23)
Research Interviewing in Prison (1958) (23)
Efficient co-monotone approximation (1979) (23)
Rational approximation to e−x (1974) (23)
Solvent retention in organic coatings (1975) (22)
Binary digit distribution over naturally defined sequences (1975) (22)
Norms of Polynomials (1960) (22)
A simpli ed version of the fast algorithm of Brent and Salamin (1985) (22)
Positive ^{1/2} functions are constants (1967) (22)
Behind the Shield: The Police in Urban Society. (1969) (22)
A Muntz-Jackson Theorem (1965) (21)
Existence of eigenvalues of a class of integral equations arising in laser theory (1964) (21)
Null steering employing polynomials and restricted coefficients (1988) (21)
Approximation by Generalized Rational Functions (1964) (20)
The Evaluation of the Constant in the Formula for the Number of Partitions of n (1951) (20)
Bases for sets of integers (1977) (20)
Complements of finite sets of integers. (1967) (20)
Homomorphisms of l (1969) (20)
Interpolation in $H\sp{\infty }$ (1959) (19)
The Philosophy and Applications of Transform Theory (1961) (19)
Muntz-Jackson Theorems in L p [0, 1] and C[0, 1] (1972) (19)
Complexity of circumscribed and inscribed ellipsoid methods for solving equilibrium economical models (1992) (18)
A simplified proof of the partition formula. (1962) (18)
Jackson's theorem on complex arcs (1974) (18)
The Spectator : emerging discourses (2005) (17)
The Lebesgue Constants for Regular Hausdorff Methods (1961) (17)
Operator orthogonality and parameter uncertainty (1982) (16)
Lectures on approximation and value distribution (1982) (16)
Problems for Solution: 4603-4607 (1954) (16)
Fair philosopher : Eliza Haywood and The female spectator (2006) (16)
OPTIMAL UNIVERSALLY STABLE INTERPOLATION (1983) (16)
Extensions of the Weierstrass Product Inequalities II (1970) (15)
An Entire Function Bounded in Every Direction (1976) (15)
Generators of certain radical algebras (1970) (15)
Extensions of the Weierstrass Product Inequalities (1970) (15)
Approximation by {|(kx)} (1970) (14)
The minimum modulus of polynomials (1974) (13)
The Closure of Translates in l p (1964) (13)
A Problem in Graph Theory (1958) (12)
Rational approximation to xn (1976) (12)
Quadrature formulae forHp functions (1979) (12)
An Extremal Problem (1967) (11)
A Supplement to the Sturm Separation Theorem, with Applications (1965) (11)
Monotonicity of quadrature approximations (1974) (11)
A Parking Lot Design (1960) (11)
Properties on the Unit Circle of Polynomials with Unimodular Coefficients (1990) (10)
Correction: The zeros of the partial sums of the exponential function (1976) (10)
The Nonexistence of Projections from L 1 to H 1 (1961) (10)
Splines and the logarithmic function. (1975) (10)
The Lebesgue Constants for (γ, r) Summation of Fourier Series (1952) (10)
On Monotone Subsequences (1988) (9)
Quantitative polynomial approximation on certain planar sets (1969) (9)
Completeness of _{}+_{} (1969) (9)
A Müntz space having no complement (1984) (9)
Some Remarks on the Maximal Ideal Structure of H∞ (1959) (8)
Rational approximation of e−x on the positive real axis (1976) (8)
Shorter Notes: Positive H 1/2 Functions are Constants (1967) (8)
The Distribution Function for Extreme Luck (1960) (8)
Rational approximations to ex (1979) (8)
Generalized polynomial approximation (1973) (8)
Fischer spaces of entire functions (1968) (8)
IN DEFENSE OF PRISONS (1974) (8)
A GENERAL MUNTZ-JACKSON THEOREM. (1974) (8)
A Unique Solution (1970) (7)
Rational approximation to ¦x¦1 + x2m on (−∞, +∞) (1977) (7)
Problems for Solution: 4458-4462 (1951) (7)
Inequalities and Identities for Sums and Integrals (1976) (7)
The Zygmund condition for polygonal approximation (1974) (7)
Matrix mutual orthogonality and parameter independence (1981) (7)
The Residue Theorem (2010) (7)
Rational approximation to ex with negative zeros and poles (1977) (7)
A Lower Bound for an Area Integral (1972) (7)
RATIONAL APPROXIMATION TO e-⊧x⊧ ON THE WHOLE REAL LINE (1977) (7)
An Inequality on Binomial Coefficients (1978) (7)
Delinquents in the Making: Paths to Prevention (1952) (6)
On the [F, dn] summation of Fourier series† (1962) (6)
ON THE COEFFICIENTS OF LACUNARY POWER SERIES (1981) (6)
The Gibbs phenomenon for Hausdorff means (1962) (6)
A simplified proof of the Erdős-Fuchs theorem (1979) (6)
American Bar Association: American Bar Association Project on Minimum Standards for Criminal Justice: Standards Relating to Pleas of Guilty (Tentative Draft) (1968) (6)
Convex approximation by rational functions (1995) (6)
The generalized Gibbs phenomenon for regular Hausdorff means (1965) (6)
A simplified proof of Waring's conjecture. (1960) (6)
Cyclic Pursuit or "The Three Bugs Problems" (1971) (6)
Judicial Intervention in Correctional Decisions: Threat and Response (1968) (6)
Generators in $l\sb{1}$ (1964) (6)
Numerical Method for Solution of an Elliptic Cauchy Problem (1960) (6)
Completeness preserving multipliers (1969) (5)
Uniqueness theorems for convolution-type equations (1965) (5)
Optimal relative error rational approximations to ex (1984) (5)
Fourier Uniqueness Via Complex Variables (1974) (5)
Summability methods fail for the 2ⁿℎ partial sums of Fourier series (1974) (5)
A Wiener type theorem for Dirichlet series (1984) (5)
Periodic interpolating splines and their limits (1977) (5)
MUNTZ-JACKSON THEOREMS IN ALL LP SPACES WITH UNRESTRICTED EXPONENTS. (1976) (5)
On generators of the Banach algebras ₁ and ₁(0,∞) (1963) (5)
On Generators of the Banach Algebras l 1 and L 1 (0 (1963) (5)
The nonexistence of projections from ¹ to ¹ (1961) (5)
Rational approximation to ex and to related functions (1979) (5)
Shorter Notes: Translates are Always Dense on the Half Line (1969) (5)
Rational approximation, II (1978) (5)
Müntz-Jackson theorems in Lp, p < 2 (1974) (4)
Magnitude of fourier coefficients and degree of approximation by riemann sums (1991) (4)
EULER'S PHI FUNCTION ON ARITHMETIC PROGRESSIONS (1997) (4)
Generators in l 1 (1964) (4)
Conflict Resolution in Criminal Justice (1970) (4)
A class of curves on which polynomials approximate efficiently (1968) (4)
Approximation to xn by lower degree rational functions (1979) (4)
Shorter Notes: A Simple Proof of Wiener's 1/f Theorem (1975) (4)
Flying in a Wind Field, II (1969) (4)
Extremal Points, Critical Points, and Saddle Points of Analytic Functions (2007) (4)
Optimally Separated Contractions (1970) (4)
Polynomials with large partial sums (1978) (4)
On some inverse problems in potential theory (1968) (4)
On the Reducibility of Some Linear Differential Operators (1959) (4)
A continuous function whose divided differences at the Chebyshev extrema are all zero (1986) (4)
An extremal problem for analytic functions with prescribed zeros and th derivative in (1986) (4)
Another proof of the minimax theorem (1960) (4)
Finite Type Functions as Limits of Exponential Sums (1982) (3)
Some results in spectral synthesis (1960) (3)
A Losynski-Kharshiladze theorem for Müntz polynomials (1985) (3)
Completeness of $\{A$ ${\rm sin}\ nx+$ $b$ ${\rm cos}\ nx\}$ on $[o,\,\pi ]$. (1968) (3)
A Minimum Time Path (1959) (3)
Excessive tool wear and moisture content in ceramic plaster machining (1999) (3)
An Affirmative Action Graph (1991) (3)
Rational approximation toxn (1976) (3)
On some inverse problems in dynamics (1968) (3)
Mathematical entertainments (1993) (3)
A radical algebra without derivations (1959) (3)
Approximation by Müntz polynomials on sequences (1968) (3)
Efficiency of polynomials on sequences (1968) (3)
On the Number of Distinct Zeros of Polynomials (1959) (3)
A gradually turning curve must come near a lattice point (1974) (3)
Applications of the Residue Theorem to the Evaluation of Integrals and Sums (2010) (3)
Exhausting an area with discs (1974) (3)
Some Combinatorial Problems of Arithmetic (1969) (3)
Differentiation of Asymptotic Formulas (1981) (3)
Computing when multiplications cost nothing (1986) (2)
Problems for Solution: 5037-5043 (1962) (2)
Multiplication from other operations (1971) (2)
Proceedings of the Symposium on Complex Analysis Canterbury 1973: Completeness questions and related Dirichlet polynomials (1974) (2)
Expectations for Sums of Powers (1959) (2)
On a monotonicity property of some Hausdorff transforms of certain Fourier series (1983) (2)
The Bayesian vantage for dealing with uncertainty (2010) (2)
Rational approximation with real zeros and poles (1977) (2)
Problems for Solution: 4718-4722 (1957) (2)
Haar polynomials on Cartesian product spaces (1969) (2)
Estimate of a certain least common multiple. (1960) (2)
Expectations in Certain Reliability Problems (1967) (2)
A test harness for maintaining unfamiliar software (1988) (2)
Successive differences of bounded sequences (1966) (2)
A characterization of the weights in a divided difference. (1981) (2)
THE LEVEL CURVES OF HARMONIC FUNCTIONSO (2010) (2)
Rational approximation, III (1977) (2)
Advanced Problems: 5470-5479 (1967) (2)
Hydrid assumed mode solution of non-linear partial differential equations (1968) (2)
Problems for Solution: 5072-5081 (1963) (2)
On osculatory interpolation by trigonometric polynomials (1979) (2)
Advanced Problems: 5320-5329 (1965) (2)
A lower Jackson bound on ( (1970) (2)
n-Widths of function spaces (1976) (2)
A Pretty Trifle: Art and Identity in Boswell's London Journal (2002) (2)
Point Separating Algebras of Polynomials (1974) (2)
Problems for Solution: 4270,4728-4732 (1957) (1)
Completeness of a n cos nx + n sin nx (1969) (1)
Sequences without arithmetic progressions (1981) (1)
Problems for Solution: E1021-E1025 (1952) (1)
The Müntz-Jackson theorem in L2 (1973) (1)
On isomorphisms with a prescribed range (1986) (1)
Problems for Solution: 4528,4543-4547 (1953) (1)
A Variation of the Game of “Twenty Questions ” (1966) (1)
Problems for Solution: 4869-4874 (1959) (1)
Shorter Notes: Successive Differences of Bounded Sequences (1966) (1)
Problems for Solution: 4523-4527 (1953) (1)
Advanced Problems: 5330-5339 (1965) (1)
Problems for Solution: 4773-4777 (1958) (1)
Rational Approximation to x n II (1980) (1)
The changing role of micrographics (1984) (1)
Some Remarks on the Convergence of Cardinal Splines. (1974) (1)
Problems for Solution: 4959-4964 (1961) (1)
Embedded Java Controllers (2004) (1)
Dual Trigonometric Series—a Related Problem (1975) (1)
How to Play Baseball (1960) (1)
Extended Reducibility of Some Differential Operators (1967) (1)
Is probability a part of mathematical truth (1992) (1)
Reduction of angular momentum expressions by matrix arithmetic (1976) (1)
A Covering Problem (1982) (1)
Complex Analysis.@@@Invitation to Complex Analysis. (1990) (1)
Finite measures designed for accuracy on arithmetic progressions (1978) (1)
Two Hilbert spaces in which polynomials are not dense (1972) (1)
Problems for Solution: 4470,4494-4497 (1952) (1)
Shorter Notes: The Distance from U(z) ⋅H p to 1 (1968) (1)
A Simplified Proof of the Erdos-Fuchs Theorem (1979) (1)
Problems for Solution: 4863-4868 (1959) (1)
Problems for Solution: 4804-4809 (1958) (1)
Insertion of ± Signs in e x (1960) (1)
Problems for Solution: 4941-4946 (1961) (1)
A Set o f Convolution Equations (Walter Weissblum) (1963) (1)
A new ℓ₁ estimate and a problem of Katznelson (1972) (1)
A Parking Problem (1960) (1)
4PAi(A) =PBjX) (i- 1, ', n), then PA(X) and 4p(X) differ by a constant. (2016) (0)
Problems for Solution: 4798-4803 (1958) (0)
Limit of a Probability Density Function (1970) (0)
Escape Velocity with Drag (1964) (0)
Problems for Solution: 4498-4502 (1952) (0)
Addendum to: “Rational approximation of e−x on the positive real axis” (1977) (0)
The distance from ()⋅^{} to 1 (1968) (0)
Functions of the Complex Variable z (2010) (0)
Problems for Solution: 4608-4612 (1954) (0)
Advanced Problems: 5420-5429 (1966) (0)
Different Forms of Analytic Functions (2010) (0)
A Coin Tossing Problem (1961) (0)
Problems for Solution: 4446,4463-4467 (1951) (0)
Null Steering Applications of Polynomials with Unimodular Coefficients. (1987) (0)
Isolated Singularities of an Analytic Function (2010) (0)
Problems for Solution: 4578-4582 (1954) (0)
An Elegy on the Death of an Amiable Young Lady: (0)
Problems for Solution: 3951, 4810-4815 (1958) (0)
A Double-Cone Radar Search (1967) (0)
Problems for Solution: 4553-4557 (1953) (0)
Book Reviews : Crime in America, Ramsey Clark. Pp. 346. New York, Simon and Schuster, 1970. $6.95 (1971) (0)
Maximum-Modulus Theorems for Unbounded Domains (2010) (0)
MathematicsPeriodic interpolating splines and their limits (1978) (0)
Elementary Problems: E1945-E1954 (1967) (0)
The distance from $U(z)·H\sp{p}$ to $1$ (1968) (0)
Introduction to Conformal Mapping (2010) (0)
Problems for Solution: 4935-4940 (1960) (0)
Boswell's "Egyptian Task": ten lines a day (2008) (0)
A Study of the Administration of Juvenile Justice in California (1961) (0)
Problems for Solution: 4508-4512 (1952) (0)
Problems for Solution: 4788-4792 (1958) (0)
Book Reviews : The Administration of Justice, Paul B. Weston and Kenneth M. Wells. Pp. 257. Englewood Cliffs, N. J., Prentice-Hall, 1967. $6.95 (1968) (0)
Overhead projector with less glare (1975) (0)
A Minimum Time Path (W. L. Bade) (1962) (0)
Analytic Continuation; The Gamma and Zeta Functions (2010) (0)
Applications to Other Areas of Mathematics (2010) (0)
Problems for Solution: 4588-4592 (1954) (0)
Properties of Entire Functions (2010) (0)
Properties of Analytic Functions (2010) (0)
EN(F, h) = inf Sup I F(x) - P(x) I hI(x) = inf|F -Pl|, (2016) (0)
Problems for Solution: 4923-4928 (1960) (0)
Advanced Problems: 5245-5252 (1964) (0)
Public Employee Strikes in Ohio: The Ferguson Act Reconsidered (1972) (0)
Problems for Solution: E1221-E1225 (1956) (0)
Advanced Problems: 5360-5369 (1966) (0)
Problems for Solution: 4648-4652 (1955) (0)
Problems for Solution: E1533-E1540 (1962) (0)
Problems for Solution: E1431-E1435 (1960) (0)
Elementary Problems: E1955-E1964 (1967) (0)
Problems for Solution: 4668-4672 (1956) (0)
An Arithmetic Conjecture (1976) (0)
The extended space technique for hybird computer solution of partial differential equations (1969) (0)
Problems for Solution: 4947-4952 (1961) (0)
Problems for Solution: 4995-5000 (1961) (0)
An Inverse Drum Problem (1973) (0)
The Limit of a Product (1966) (0)
HOMOMORPHISMS OF 1 (2016) (0)
Problems for Solution: 5019-5024 (1962) (0)
On generators of the Banach algebras $l\sb{1}$ and $L\sb{1}(0,\,\infty )$ (1963) (0)
Recent Articles (2014) (0)
Advanced Problems: 6507-6508 (1986) (0)
Problems for Solution: 4448-4452 (1951) (0)
Problems for Solution: 4822-4827 (1959) (0)
Problems for Solution: 4638-4642 (1955) (0)
Limit of a Sum (D. J. Newman) (1982) (0)
Problems for Solution: 4971-4976 (1961) (0)
Problems for Solution: 4933, 4953-4958 (1961) (0)
Problems for Solution: 4360-4364 (1949) (0)
Elementary Problems: E2035-E2044 (1967) (0)
Issues of Organization, Process and Reform (1979) (0)
Problems for Solution: 4776,4793-4797 (1958) (0)
Problems for Solution: E921-E925 (1950) (0)
ON GENERATORS OF THE BANACH ALGEBRAS (2010) (0)
Problems for Solutions: E1376-E1380 (1959) (0)
Polynomials with Restricted Coefficients and Their Applications (1987) (0)
Problems for Solution: 4488-4492 (1952) (0)
Problems for Solution: 4778-4782 (1958) (0)
Elementary Problems: E2196-E2201 (1969) (0)
Problems for Solution: 4698-4702 (1956) (0)
Problems for Solution: 4683-4687 (1956) (0)
Expected Number of Stops for an Elevator (1972) (0)
Problems for Solution: 4433-4437 (1951) (0)
Further Properties of Analytic Functions (2010) (0)
Mediating Identities in Eighteenth-Century England: Public Negotiations, Literary Discourses, Topography ed. by Isabel Karremann, Anja Müller (review) (2014) (0)
Insertion of $\pm $ signs in $e\sp{x}$ (1960) (0)
1-1+1-1+\cdots=1/2 (1960) (0)
Problems for Solution: 4568-4572 (1954) (0)
The Limit of a Product (D. J. Newman and L. A. Shepp) (1966) (0)
Problems for Solution: E1506-E1510 (1962) (0)
Optical disk and micrographic document management systems (1986) (0)
Problems for Solution: 4899-4904 (1960) (0)
Expected Type of Triangle (1992) (0)
APPLICATIONS OF DSP IN WELDING (1997) (0)
Problems for Solution: E1341-E1345 (1958) (0)
Disability, Disease, and the “Philosophick Heroism” of Samuel Johnson in Boswell's Life of Johnson (1991) (0)
Problems for Solution: 4893-4898 (1960) (0)
Further Contour Integral Techniques (2010) (0)
Problems for Solution: 4905-4910 (1960) (0)
Problems for Solution: 4613-4617 (1954) (0)
A Conjectured Limit (H. P. Robinson) (1981) (0)
Problems for Solution: 4483-4487 (1952) (0)
Problems for Solution: 4851-4856 (1959) (0)
Line Integrals and Entire Functions (2010) (0)
Document management: Software is the link (1986) (0)
Insertion of ± signs in ^{} (1960) (0)
Annulments--A Comparative Study of Jurisdiction and Recognition of Foreign Decrees (1971) (0)
Triangle on a Checkerboard (1971) (0)
On The Coefficients Of a Trigonometric Polynomial (1963) (0)
Book Reviews : Crime, Power and Morality: The Criminal-Law Process in the United States, Stuart L. Hills, Pp. xi, 215. Scranton, Pa., Chandler Publishing Company, 1971. No price listed (paper (1972) (0)
Advanced Problems: 5280-5289 (1965) (0)
Problems for Solution: E1281-E1285 (1957) (0)
The Riemann Mapping Theorem (2010) (0)
Short Prose Narratives of the Eighteenth and Nineteenth Centuries (2016) (0)
Problems for Solution: 4425-4427 (1951) (0)
Advanced Problems: 5200-5208 (1964) (0)
Simply Connected Domains (2010) (0)
Problems for Solution: 4415-4419 (1950) (0)
Problems for Solution: 4474, 4478-4482 (1952) (0)
Problems for Solution: E1581-E1590 (1963) (0)
Problems for Solution: 4688-4692 (1956) (0)
Limit of a Sum (1981) (0)
The Complex Numbers (2010) (0)
Problems for Solution: 4875-4880 (1959) (0)
Problems for Solution: 4857-4862 (1959) (0)
On Bounds for Matrix Eigenvalues (1963) (0)
Problems for Solution: 4473-4477 (1952) (0)
Crime Is Big Business (1958) (0)
Functions of the Police, Prosecutor, Court Worker, Defense Counsel, Judge, in Aiding Juvenile Justice* (2009) (0)
Problems for Solution: 4434-4447 (1951) (0)
Problems for Solution: 4653-4657 (1955) (0)
Thermoplastic recording method (1960) (0)
Advanced Problems: 5380-5389 (1966) (0)

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What Schools Are Affiliated With Donald J. Newman?

Donald J. Newman is affiliated with the following schools: