Russell Sherman Lehman

Russell Sherman Lehman
Rojstvo	datum neznan
Bivališče	ZDA
Državljanstvo	ameriško
Narodnost	ameriška
Področja	matematika
Ustanove	Univerza Kalifornije, Berkeley
Alma mater	Univerza Stanford doktorat 1954
Disertacija	Developments in the Neighborhood of the Beach of Surface Waves over an Inclined Bottom (1954)
Mentor doktorske disertacije	Hans Lewy
Doktorski študenti	David Singmaster (1966) Daniel Alan Goldston (1981)

Russell Sherman Lehman, ameriški matematik.

Lehman je leta 1960 z Inghamovo metodo iz leta 1942 našel eksplicitni protiprimer za Pólyevo domnevo $L(906180359)=1\,$. Leta 1966 je izračunal prvih 250.000 netrivialnih ničel Riemannove funkcije ζ.

Izbrana dela

• Bellman, Richard Ernest; Lehman, Russell Sherman (1954), "On the continuous gold-mining equation", Proc. Nat. Acad. Sci. U. S. A., 40: 115–119, MR 0060681
• Bellman, Richard Ernest; Lehman, Russell Sherman (1954-01), "On a functional equation in the theory of dynamic programming and its generalizations", The RAND Corporation, Paper P-433 {{citation}}: Preveri datumske vrednosti v: |date= (pomoč)
• Bellman, Richard Ernest; Lehman, Russell Sherman (1954-02), "Studies on bottleneck problems in production processes", The RAND Corporation, Paper P-492 {{citation}}: Preveri datumske vrednosti v: |date= (pomoč)
• Lehman, Russell Sherman (1957), "Development of the mapping function at an analytic corner", Pacific Journal of Mathematics, 7: 1437–1449
• Lehman, Russell Sherman; Weiss, George H. (1958), "A study of the restricted random walk", Jrn. Soc. Ind. Appl. Mathem., 6: 257–278, MR 0098432
• Lehman, Russell Sherman (1959-02), "A Study of Regular Continued Fractions", Report 1066, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland {{citation}}: Preveri datumske vrednosti v: |date= (pomoč)
• Lehman, Russell Sherman (1959), "Developments at an analytic corner of solutions of elliptic partial differential equations", J. Math. Mech., 8: 727–760
• Lehman, Russell Sherman (1961), "On primitive recursive real numbers" (PDF), Fundamenta Mathematicae, 49 (2): 105–118
• Lehman, Russell Sherman (1960), "On Liouville's function" (PDF), Math.Comp., 14: 311–320, doi:10.1090/S0025-5718-1960-0120198-5, JSTOR 2003890, MR 0120198
• Lehman, Russell Sherman (1966a), "On the difference π(x) − li(x)" (PDF), Acta. Arith., XI: 397–410
• Lehman, Russell Sherman (1966b), "Separation of zeros of the Riemann zeta-function", Math.Comp., 20 (96): 523–541
• Lehman, Russell Sherman (1970), "On the distribution of zeros of the Riemann zeta-function", Proc. Lond. Math. Soc., 20 (3): 303–320, MR 0258768
• Lehman, Russell Sherman (1974), "Factoring Large Integers" (PDF), Math. Comp., 28 (126): 637–646, doi:10.1090/S0025-5718-1974-0340163-2, MR 0340163

Glej tudi

• Lehmanov faktorizacijski algoritem

Zunanje povezave

• Russell Sherman Lehman na Projektu Matematična genealogija (angleško)