Paul T. Bateman | Academic Influence

Paul T. Bateman's AcademicInfluence.com Rankings

Paul T. Bateman

Mathematics

#1665

World Rank

#2680

Historical Rank

#681

USA Rank

Group Theory

#152

World Rank

#182

Historical Rank

#32

USA Rank

Algebra

#277

World Rank

#394

Historical Rank

#59

USA Rank

Measure Theory

#2523

World Rank

#3029

Historical Rank

#714

USA Rank

mathematics Degrees

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Mathematics

Paul T. Bateman's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Stanford University

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Why Is Paul T. Bateman Influential?

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According to Wikipedia, Paul Trevier Bateman was an American number theorist, known for formulating the Bateman–Horn conjecture on the density of prime number values generated by systems of polynomials and the New Mersenne conjecture relating the occurrences of Mersenne primes and Wagstaff primes.

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Paul T. Bateman'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

A heuristic asymptotic formula concerning the distribution of prime numbers (1962) (272)
Primes in Arithmetic Progressions (2004) (198)
Analytic Number Theory - An Introductory Course (2004) (86)
Geometrical Extrema Suggested by a Lemma of Besicovitch (1951) (66)
The distribution of values of the Euler function (1972) (58)
On the representations of a number as the sum of three squares (1951) (49)
On Epstein's zeta function (1964) (47)
Monotonicity of partition functions (1956) (45)
On a theorem of Erdös and Szekeres (1958) (43)
On the size of the coefficients-of the cyclotomic polynomial (1982) (41)
A Limit Involving Least Common Multiples: 10797 (2002) (36)
A Hundred Years of Prime Numbers (1996) (32)
Remark on a Recent Note on Linear Forms (1958) (32)
Note on the coefficients of the cyclotomic polynomial (1949) (31)
Primes represented by irreducible polynomials in one variable (1965) (30)
The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series (1962) (29)
Some special trigonometrical series related to the distribution of prime numbers (1963) (27)
Reviews in Number Theory (1976) (24)
waring's problem for algebraic number fields and primes of the form $(p^{r} - 1)/(p^{r} - 1)$ (1962) (23)
The arithmetic mean of the divisors of an integer (1981) (22)
Decidability and undecidability of theories with a predicate for the primes (1993) (21)
The new mersenne conjecture (1989) (21)
A Remark on Infinite Groups (1950) (20)
Some numerical results on Fekete polynomials (1975) (12)
Positive integers expressible as a sum of three squares in essentially only one way (1984) (11)
Prime Numbers in Arithmetic Progressions with Difference 24 (1965) (11)
On the Oscillation Theorems of Pringsheim and Landau (2000) (10)
On a theorem of Erdős and Fuchs in additive number theory (1963) (10)
Some New Old-Fashioned Modular Identities (1998) (9)
Proof of a conjecture of Grosswald (1958) (9)
Imaginary quadratic fields with unique factorization (1962) (8)
The Erdös-Fuchs theorem on the square of a power series (1977) (7)
Sums of Squares and the Preservation of Modularity under Congruence Restrictions (2001) (6)
Averages of character sums (1950) (6)
Sequences of Mass Distributions on the Unit Circle Which Tend to a Uniform Distribution (1964) (5)
Analytic Number Theory (1981) (4)
Problems for Solution: 4765,4840-4844 (1959) (4)
Sums of distinct squares (1994) (4)
Problems: 10585-10591 (1997) (4)
Analytic number theory : proceedings of a conference in honor of Paul T. Bateman (1990) (4)
Binary Expansions and kth Powers: 10596 (1999) (4)
John E. Littlewood (1885–1977) An Informal Obituary (1978) (3)
On the Density of Odd Integers of the Form (1979) (2)
Seminar on convex sets (1954) (2)
The Equivalence of Two Conjectures in the Theory of Numrers (1953) (2)
The asymptotic formula for the number of representations of an integer as a sum of five squares (1996) (2)
The Editor's Corner: The New Mersenne Conjecture (1989) (2)
Theory of Numbers (1965) (1)
Problems and Solutions (2008) (1)
The November meeting in Evanston (1969) (1)
Introductory material on convex sets (1950) (1)
The annual meeting in Dallas (1973) (1)
Review: W. K. Bühler, Gauss, a biographical study (1986) (1)
Problems For Solution: 4385-4389 (1950) (0)
Problems and Solutions (2004) (0)
The Riemann Zeta Function (2004) (0)
Problems for Solution: E866-E870 (1949) (0)
Who Gave You the Epsilon?: A Hundred Years of Prime Numbers (2009) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2000) (0)
Problems for Solution: 4851-4856 (1959) (0)
Problems and Solutions (2002) (0)
Problems for Solution: 4845-4850 (1959) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2008) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2007) (0)
Problems and Solutions (2002) (0)
Problems and Solutions (2008) (0)
The April meeting in Cincinnati (1969) (0)
Problems for Solution: 4905-4910 (1960) (0)
Problems and Solutions (2006) (0)
Problems and Solutions (2005) (0)
The April meeting in Chicago (1967) (0)
Selected Papers of Loo-Keng Hua. (1986) (0)
The November meeting in Chicago (1976) (0)
THE FEBRUARY MEETING IN NEW YORK (2007) (0)
Problems and Solutions (2005) (0)
The November meeting in Houston (1975) (0)
THE APRIL MEETING IN CHICAGO The four hundred sixty-ninth meeting of the American Mathe- (2007) (0)
Problems and Solutions (2000) (0)
Calculus of Arithmetic Functions (2004) (0)
Problems and Solutions (2008) (0)
Problems and Solutions (2000) (0)
The November meeting in Cleveland (1973) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2007) (0)
Problems and solutions (a collection of problems) (1991) (0)
Problems and Solutions (2003) (0)
The March meeting in Chicago (1971) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2004) (0)
The March meeting in Urbana (1977) (0)
The May meeting in Dekalb (1975) (0)
The April meeting in Madison (1970) (0)
The January meeting in San Antonio (1977) (0)
Problems and Solutions (2006) (0)
The Minkowski-Hlawka theorem in the geometry of numbers (1962) (0)
Problems and Solutions (2002) (0)
Problems and Solutions (2008) (0)
Problems for Solution: 4816-4821 (1958) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2006) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2006) (0)
THE OCTOBER MEETING IN NEW YORK The four hundred fiftieth meeting of the American Mathematical (2007) (0)
The November meeting in Milwaukee (1972) (0)
Monotonicity of Partition Function S (0)
Dirichlet Series and Mellin Transforms (2004) (0)
Partitions into primes . Dedicated to the memory of Tibor Szele (2004) (0)
Problems and Solutions (2003) (0)
THE RING GENERATED BY THE Q-TH POWERS OF THE INTEGERS OF AN ALGEBRRAIC NUMBER FIELD, Q BEING A PRIME (1961) (0)
Problems for Solutions: 4390-4394 (1950) (0)
Problems and Solutions (2006) (0)
The Summer meeting in Kalamazoo (1976) (0)
Problems and Solutions (2006) (0)
Problems and Solutions (2007) (0)
Problems and Solutions (2007) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2008) (0)
Problems for Solution: 4983-4988 (1961) (0)
Problems and Solutions (2002) (0)
The April meeting in St. Louis (1972) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2007) (0)
Selected Papers of Loo-Keng Hua.Edited by H. Halberstam (1986) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2006) (0)
Lower bounds ∑ h(m)m for arithmetical functions h similar to real residue-characters (1966) (0)
The Distribution of Prime Numbers (2004) (0)
Review: H. Bohr, Collected mathematical works (1954) (0)
The November meeting in Ann Arbor (1970) (0)
Problems for Solution: 5171-5180 (1964) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2008) (0)
Elementary Problems: E2045-E2054 (1968) (0)
Problems and Solutions (2002) (0)
Problems and Solutions (2003) (0)
Review: H. Davenport, The higher arithmetic (1953) (0)
Grouping k-Tuples of Integers by the Sum of Their Squares: 10778 (2002) (0)
Problems and Solutions (2008) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2007) (0)
Problems for Solution: 4971-4976 (1961) (0)
Problem 10797 (2000) (0)
The April meeting in Evanston (1973) (0)
Problems and Solutions (2008) (0)
Problems and Solutions (2000) (0)
Problems and Solutions (2000) (0)
Problems and Solutions (2007) (0)
Problems and Solutions (2005) (0)
Approximating the Reciprocal of Zeta: 11130 (2006) (0)
THE APRIL MEETING IN PHILADELPHIA (2007) (0)
Problems and Solutions (2007) (0)
Problems for Solution: 4290-4294 (1948) (0)
Problems and Solutions (2007) (0)
Annual meeting houston. (1967) (0)
Problems and Solutions (2002) (0)
REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (2010) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2004) (0)
The Lure of the Integers By Joe Roberts (1994) (0)
FINAL REPORT ON MATHEMATICAL RESEARCH. (1967) (0)
The November meeting in Minneapolis (1974) (0)
Problems and Solutions (2006) (0)
Problems and Solutions (2006) (0)
The October Meeting in New York (2007) (0)
Problems and Solutions (2007) (0)
Problems and Solutions (2003) (0)
Applications of Characters (2004) (0)
Application of Sieves (2004) (0)
The November meeting in Urbana (1968) (0)
An Elementary Proof of the P.N.T. (2004) (0)
The summer meeting in Madison (1969) (0)
Problems and Solutions (2004) (0)
THE NOVEMBER MEETING IN LAFAYETTE The four hundred eighty-sixth meeting of the American Mathe - (2007) (0)
Review: E. H. Neville, The Farey series of order 1025, displaying solutions of the diophantine equation $bx - ay = 1$ (1951) (0)

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