D. H. Lehmer
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American mathematician
D. H. Lehmer's AcademicInfluence.com Rankings
D. H. Lehmermathematics Degrees
Mathematics
#885
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#1558
Historical Rank
#384
USA Rank
Measure Theory
#170
World Rank
#257
Historical Rank
#75
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Mathematics
D. H. Lehmer's Degrees
- PhD Mathematics University of Chicago
- Masters Mathematics University of Chicago
- Bachelors Mathematics University of California, Berkeley
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Why Is D. H. Lehmer Influential?
(Suggest an Edit or Addition)According to Wikipedia, Derrick Henry "Dick" Lehmer , almost always cited as D.H. Lehmer, was an American mathematician significant to the development of computational number theory. Lehmer refined Édouard Lucas' work in the 1930s and devised the Lucas–Lehmer test for Mersenne primes. His peripatetic career as a number theorist, with him and his wife taking numerous types of work in the United States and abroad to support themselves during the Great Depression, fortuitously brought him into the center of research into early electronic computing.
D. H. Lehmer's Published Works
Published Works
- Factorization of Certain Cyclotomic Functions (1933) (458)
- An Extended Theory of Lucas' Functions (1930) (313)
- Mathematical Tables and Other Aids to Computation. (1946) (309)
- A Ternary Analogue of Abelian Groups (1932) (230)
- Teaching combinatorial tricks to a computer (1960) (170)
- Factorizations of b[n]±1, b=2, 3, 5, 6, 7, 10, 11, 12 up to high powers (1985) (147)
- New primality criteria and factorizations of 2^{}±1 (1975) (138)
- Euclid's Algorithm for Large Numbers (1938) (137)
- Interesting Series Involving the Central Binomial Coefficient (1985) (132)
- A Note on Trigonometric Algebraic Numbers (1933) (97)
- On the roots of the Riemann zeta-function (1956) (93)
- A Machine Method for Solving Polynomial Equations (1961) (79)
- The vanishing of Ramanujan’s function $\tau(n)$ (1947) (75)
- On Stern's Diatomic Series (1929) (72)
- On the remainders and convergence of the series for the partition function (1939) (70)
- On the Maxima and Minima of Bernoulli Polynomials (1940) (69)
- On the compounding of certain means (1971) (66)
- Euler constants for arithmetic progressions (1975) (62)
- On the series for the partition function (1938) (61)
- On Euler's totient function (1932) (49)
- Extended computation of the Riemann zeta-function (1956) (46)
- Tests for primality by the converse of Fermat’s theorem (1927) (46)
- Lacunary Recurrence Formulas for The Numbers of Bernoulli and Euler (1935) (45)
- A new approach to Bernoulli polynomials (1988) (41)
- On Lucas's Test for the Primality of Mersenne's Numbers (1935) (40)
- On Fermat’s quotient, base two (1981) (39)
- On Arccotangent Relations for π (1938) (38)
- Integer sequences having prescribed quadratic character (1970) (37)
- On a problem of Størmer (1964) (37)
- On the exact number of primes less than a given limit (1959) (36)
- Incomplete Gauss sums (1976) (36)
- On a Problem of Stormer (1964) (34)
- On the Converse of Fermat's Theorem (1936) (33)
- On factoring large numbers (1931) (33)
- The lattice points of an $n$-dimensional tetrahedron (1940) (32)
- Ramanujan’s function $\tau(n)$ (1943) (30)
- Some properties of the Cyclotomic Polynomial (1966) (28)
- The sum of like powers of the zeros of the Riemann zeta function (1988) (27)
- Machine proof of a theorem on cubic residues (1962) (24)
- Strong Carmichael numbers (1976) (24)
- On runs of residues (1962) (23)
- British Association Mathematical Tables (1935) (23)
- AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM. (1954) (22)
- Prime factors of cyclotomic class numbers (1977) (21)
- Two nonexistence theorems on partitions (1946) (21)
- A Photo-Electric Number Sieve (1933) (20)
- Pairs of Consecutive Power Residues (1963) (19)
- On the Hardy-Ramanujan Series for the Partition Function (1937) (19)
- Properties of the Coefficients of the Modular Invariant J(τ) (1942) (18)
- A New Factorization Technique Using Quadratic Forms (1974) (18)
- The Mechanical Combination of Linear Forms (1928) (17)
- On the permanent of Schur's matrix (1976) (17)
- Approximations to the Area of an n-Dimensional Ellipsoid (1950) (17)
- On the Partition of Numbers into Squares (1948) (16)
- THE SEXTIC PERIOD POLYNOMIAL (1984) (16)
- Note on the distribution of Ramanujan’s tau function (1970) (16)
- Guide To Tables In The Theory Of Numbers (1941) (16)
- Permutation by Adjacent Interchanges (1965) (16)
- The sieve problem for all-purpose computers (1953) (16)
- On the Diophantine Equation x3+y3+z3= 1 (1956) (16)
- On the cubes of Kloosterman sums (1960) (15)
- On the Multiple Solutions of the Pell Equation (15)
- A History of the Sieve Process (1980) (15)
- The Distribution Of Totatives (1955) (15)
- A conjecture of Krishnaswami (1948) (14)
- Table of the cyclotomic class numbers h^*(p) and their factors for 200 (1978) (14)
- On the Converse of Fermat's Theorem II (1949) (14)
- The cyclotomy of Kloosterman sums (1967) (14)
- A cotangent analogue of continued fractions (1938) (13)
- Tables Concerning the Distribution of Primes up to 37 Millions (1959) (13)
- Arithmetic of double series (1931) (13)
- The First Six Million Prime Numbers (1961) (12)
- A Note on the Linear Diophantine Equation (1941) (12)
- On the first case of Fermat’s last theorem (1941) (12)
- The cyclotomy of hyper-Kloosterman sums (1968) (11)
- A New Calculus of Numerical Functions (1931) (11)
- On a theorem of von Sterneck (1931) (11)
- Note on an Absolute Constant of Khintchine (1939) (11)
- Generalized Eulerian Numbers (1982) (10)
- The Primality of Ramanujan's Tau-Function (1965) (10)
- Bounds for pairs of consecutive seventh and higher power residues (1964) (10)
- On a Conjecture of Ramanujan (1936) (10)
- Error-Free Computation: Why It is Needed and Methods for Doing It (Robert Todd Gregory) (1982) (10)
- On certain character matrices (1952) (9)
- On the factors of $2^n \pm 1$ (1947) (9)
- On a Problem of Hardy and Littlewood (1959) (9)
- The Graeffe process as applied to power series (1945) (8)
- The p Dimensional Analogue of Smith's Determinant (1930) (8)
- The Prime Factors of Consecutive Integers (1965) (8)
- Cyclotomy With Short Periods (1983) (8)
- On Certain Chains of Primes (1965) (7)
- Note on Mersenne numbers (1932) (7)
- On reciprocally weighted partitions (1972) (7)
- Picturesque Exponential Sums, I (1979) (7)
- Integers with Digits 0 or 1 (1986) (7)
- A sieve problem on“pseudo-squares.” (1954) (7)
- THE MATHEMATICAL WORK OF MORGAN WARD (1993) (6)
- The Lehmer project (1993) (6)
- The Characters of linear permutations (1976) (6)
- Mahler's matrices (1960) (5)
- A machine for combining sets of linear congruences (1934) (5)
- Instandhaltung von Mittelspannungsanlagen (1999) (4)
- Arithmetical Periodicities of Bessel Functions (1932) (4)
- Coloring the Platonic Solids (1986) (4)
- A factorization theorem applied to a test for primality (1939) (4)
- An extension of the table of Bernoulli numbers (1936) (4)
- Some properties of circulants (1973) (3)
- A note on Fermat's last theorem (1932) (3)
- The Complete Root-Squaring Method (1963) (3)
- An application of Schläfli's modular equation to a conjecture of Ramanujan (1938) (3)
- A sum involving the function of Möbius (1960) (3)
- On the Indeterminate Equation t 2 - p 2 Du 2 = 1 (1926) (3)
- Integer Sequences Having Prescribed (1970) (2)
- Harry Schultz Vandiver, 1882–1973 (1974) (2)
- The sixth symposium in applied mathematics (1953) (2)
- On a constant of Turán and Erdös (1980) (2)
- Multisectioned Moments of Stirling Numbers of the Second Kind (1973) (2)
- The Harmony of the World: Numerical Notations and Their Influence on Mathematics (1933) (2)
- Quasi-Cyclotomic Polynomials (1932) (2)
- Polynomials for the n-Ary Composition of Numerical Functions (1936) (2)
- Tables of Ramanujan's Function τ(n) (1970) (1)
- Selected papers of D. H. Lehmer (1994) (1)
- A fallacious principle in the theory of numbers (1930) (1)
- A Low Energy Proof of the Reciprocity Law (1957) (1)
- Sorting Cards with Respect to a Modulus (1957) (1)
- Power character matrices. (1960) (1)
- Note on the Computation of the Bessel Function _ (1944) (1)
- Some new factorizations of $2^n \pm 1$ (1933) (1)
- Problems for Solution: E706-E710 (1946) (1)
- Cooperative Study on Area Bombing (1944) (1)
- A matrix paraphrase of Kloosterman sums (1990) (1)
- The chromatic polynomial of a graph. (1985) (1)
- A list of errors in tables of the Pell equation (1926) (1)
- A further note on the converse of Fermat’s theorem (1)
- Numbers associated with Stirling numbers and $x^x$ (1985) (1)
- On the r-th Divisors of a Number (1930) (1)
- A matrix paraphrase of cyclotomy (1990) (1)
- R63-17 Division and Overflow Detection in Residue Number Systems (1963) (1)
- II. Convenient Short Tables (1988) (0)
- Discussions: On the Use of the Calculating Machine for Cube and Fifth Roots (1925) (0)
- Problems for Solution: E315-E320 (1938) (0)
- V. How to Use the Main Tables (1988) (0)
- INSTANDHALTUNG VON MITTELSPANNUNGSSCHALTANALAGEN (1999) (0)
- Recurrence formulas for certain divisor functions (1943) (0)
- I. Introduction to the Short Tables (1988) (0)
- A generalized inversive algorithm (1936) (0)
- Table errata: “On the converse of Fermat’s theorem” (Amer. Math. Monthly 43 (1936), 347–354) (1971) (0)
- Problems for Solution: E181-E186 (1935) (0)
- Erfahrungen mit einer mobilen 20-kV-Schaltstation (1991) (0)
- Update 2.2 to the Second Edition (1988) (0)
- III. Introduction to the Main Tables (1988) (0)
- Problems for Solution: 3206-3211 (1926) (0)
- On the number ${{\left( {10^{23} - 1} \right)} \mathord{\left/ {\vphantom {{\left( {10^{23} - 1} \right)} 9}} \right. \kern-\nulldelimiterspace} 9}$ (1929) (0)
- A Note on m 2 = n! + 1 (1937) (0)
- Ramnujan . Twelve lectures on subjects suggested by his life and work. By G. H. Hardy. 236 pp. Cambridge: at the University Press, 1940. New York: The Macmillan Company, 1941. $6.00. (1941) (0)
- Problems for Solution: 3181-3186 (1926) (0)
- The economics of quadratic form calculations (1973) (0)
- An inversive algorithm (1932) (0)
- Problems for Solution: 3801-3806 (1936) (0)
- On the Value of the Napierian Base (1926) (0)
- A Cross-Division Process and Its Application to the Extraction of Roots (1926) (0)
- Picturesque exponential sums. II: (1980) (0)
- Review: D. A. Buell, Binary quadratic forms, classical theory and applications (1990) (0)
- Table errata: “On the converse of Fermat’s theorem. II” (Amer. Math. Monthly 56 (1949), 300–309) (1971) (0)
- VI. The Main Tables (1988) (0)
- Note on the Mersenne number $2^{139} - 1$ (1926) (0)
- IV. Update to the Introduction for the Second Edition (1988) (0)
- Errors in Kraitchik's table of linear forms (0)
- VII. Introduction to the Appendices (1988) (0)
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