References: [ Home | Author index | Key index | Search ]

All items with keys beginning with the letter(s): h

Haga2001

E. Haga, Exploring prime numbers on your PC and the Internet, Enoch Haga Pub., available from 983 Venus Way, Livermore CA 94550-6345, 2001.

Abstract: An introductory work for the student or teacher.

[The authors says "200 pages, illustrated. An introductory work for the student or teacher."]

Haga95

E. Haga, Exploring prime numbers on your PC, Enoch Haga Pub., 1995. [An introductory book, easily understandable at the high school level. Includes numerous short BASIC programs. See the newer edition: [Haga2001].]

Halmos1938

P. R. Halmos, "Note on almost-universal forms," Bull. Amer. Math. Soc., 44 (1938) 141--144. (Annotation available)

Hare2005

K. Hare, "More on the total number of prime factors of an odd perfect number," Math. Comp., 74:250 (2005) 1003--1008 (electronic).  MR2114661

Hare2006

K. Hare, "New techniques for bounds on the total number of prime factors of an odd perfect number," Math. Comp., 76:260 (2007) 2241--2248 (electronic).  (http://dx.doi.org/10.1090/S0025-5718-07-02033-9) MR 2336293

Harley94

R. Harley, "Some estimates due to Richard Brent applied to the "high jumpers" problem," (December 1994) available on-line: http://pauillac.inria.fr/~harley/wnt.ps.

Hasse1936

H. Hasse, "Zur Theorie der abstrackten ellipschen Funtionkörper i, ii, iii," J. Reine Angew. Math., (1936) 55--62, 69--88, 192--208.

HB1975

J. C. Hallyburton, Jr. and J. Brillhart, "Two new factors of Fermat numbers," Math. Comp., 29 (1975) 109--112.  Collection of articles dedicated to Derrick Henry Lehmer on the occasion of his seventieth birthday.  MR 51:5460

HC2000

G. L. Honaker, Jr. and C. Caldwell, "Palindromic prime pyramids," J. Recreational Math., 30:3 (1999-2000) 169--176.

HC2000b

C. Caldwell and G. L. Honaker, Jr., "Is π(6521)=6!+5!+2!+1! unique?," Math. Spectrum, 22:2 (2000/2001) 34--36.

HC98

P. Hagis, Jr. and G. L. Cohen, "Every odd perfect number has a prime factor which exceeds 10⁶," Math. Comp., 67 (1998) 1323--1330.  MR 98k:11002

Abstract: It is proved here that every odd perfect number is divisible by a prime greater than 10⁶

Heath56

Euclid, The thirteen books of Euclid's Elements translated from the text of heiberg, Dover Publications, 1956.  New York, NY, pp. xi+432 pp.; i+436 pp.; i+546, Translated with introduction and commentary by Thomas L. Heath.  MR 17,814b

Heijenoort67

J. van Heijenoort, From Frege to Gödel, a source book in mathematical logic, 1879--1931, Harvard University Press, 1967.  Cambridge Mass., pp. xi+660,

Heinzelin62

J. de Heinzelin, "Ishango," Scientific American, 206:6 (June 1962) 105--116.

Heleen98

Heleen, J. P., "More near-repunit primes 1_n-k-1D₁1_k, D=2,3, ..., 9," J. Recreational Math., 29:3 (1998) 190--195.

HHP1997

Hilton, Peter, Holton, Derek and Pedersen, Jean, Mathematical reflections, Undergraduate Texts in Mathematics Springer-Verlag, New York, 1997.  pp. xvi+351, ISBN 0-387-94770-1. In a room with many mirrors.  MR1423132

HHP2002

Hilton, Peter, Holton, Derek and Pedersen, Jean, Mathematical vistas, Undergraduate Texts in Mathematics Springer-Verlag, 2002.  New York, pp. xiv+335, ISBN 0-387-95064-8. From a room with many windows.  MR1875918

Hill1995

T. Hill, "Base-invariance implies Benford's law," Proc. Amer. Math. Soc., 123:3 (March 1995) 887--895. (Annotation available)

Hill1996

T. Hill, "A statistical derivation of the significant-digit law," Statistical Science, 10:4 (1996) 354--363.  MR 98a:60021 (Annotation available)

Hill79

J. R. Hill, "Large Carmichael numbers with three prime factors," Notices Amer. Math. Soc., 26 (1979) A-374.  Abstract 79T-A136.

Hinkley1853

E. Hinkley, Tables of the prime numbers and prime factors of the composite numbers from 1 to 100,000; with the methods of their construction, and examples of their use, Edward Hinkley, Baltimore, 1853.  216 pages. [The preface states: "This is the first book, made or published in this country [USA], devoted exclusively to the subjects of prime numbers and prime factors."]

HL14

G. H. Hardy and J. E. Littlewood, "Some problems of Diophantine approximation," Acta Math., 37 (1914) 155--238.

HL23

G. H. Hardy and J. E. Littlewood, "Some problems of `partitio numerorum' : III: on the expression of a number as a sum of primes," Acta Math., 44 (1923) 1-70.  Reprinted in "Collected Papers of G. H. Hardy," Vol. I, pp. 561-630, Clarendon Press, Oxford, 1966.

HL25

G. H. Hardy and J. E. Littlewood, "Some problems of "Partitio Numerorum" iv. further researches in waring's problem," Math. Z., 23 (1925) 1--37.  Reprinted in "Collected papers of G. H. Hardy," vol I, 469-505, Clarendon Press, Oxford, 1966..

HMSW2008

L. Helm, P. Moore, P. Samidoost and G. Woltman, "Resolution of the mixed Sierpinski problem," Integers: Elect. J. Comb. Num. Theory, 8:A61 (2008)

Hoffman1999

P. Hoffman, The man who loved only numbers: the story of Paul Erdös and the search for mathematical truth, Hyperion Press, New York, 1998.  pp. viii+302, ISBN 0-7868-6362-5. MR 2001b:01024

Hooley76

C. Hooley, Applications of sieve methods to the theory of numbers, Cambridge Tracts in Math. Vol, 70, Cambridge University Press, Cambridge, 1976.  pp. xiv+122, MR 53:7976

HP1985

Hilton, Peter and Pedersen, Jean, "Folding regular star polygons and number theory," Math. Intelligencer, 7:1 (1985) 15--26.  MR769806

HP1988

Hilton, Peter and Pedersen, Jean, "On a generalization of folding numbers," Southeast Asian Bull. Math., 12:1 (1988) 53--63.  MR978180

HP1993

Hilton, Peter and Pedersen, Jean, "Some arithmetical connections between folding numbers and generalized Fibonacci and Lucas numbers," Bull. Soc. Math. Belg. S\'er. B, 45:3 (1993) 273--296.  MR1316727

HP1994

Hilton, Peter and Pedersen, Jean, "On folding instructions for products of Fermat numbers," Southeast Asian Bull. Math., 18:2 (1994) 19--27.  MR1290973

HP1999

Hilton, Peter and Pedersen, Jean, "Integrating geometry at the pre-university level: paper folding and number theory," Butl. Soc. Catalana Mat., 14:2 (1999) 63--91.  Translated by Jaume Soler.  MR1744604

HR1973

Hensley, Douglas and Richards, Ian, On the incompatibility of two conjectures concerning primes.  In "Analytic number theory (Proc. {S}ympos. {P}ure {M}ath., {V}ol. {XXIV}, {S}t. {L}ouis {U}niv., {S}t. {L}ouis, {M}o., 1972)," Amer. Math. Soc., Providence, R.I., 1973.  pp. 123--127, MR 0340194

HR72

D. Hensley and I. Richards, On the incompatibility of two conjectures concerning primes.  In "Analytic Number Theory," Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., 1972, Amer. Math. Soc., 1973.  pp. 123--127, MR 49:4950

HR73

D. Hensley and I. Richards, "Primes in intervals," Acta. Arith., 25 (1973/74) 375--391.  MR 53:305

HR74

H. Halberstam and H. E. Richert, Sieve methods, Academic Press, 1974.  MR 54:12689

HS61

A. Hurwitz and J. L. Selfridge, "Fermat numbers and perfect numbers," Notices Amer. Math. Soc., 8 (1961) 601.  Abstract 587-104.

HS76

M. Hausmann and H. Shapiro, "Perfect ideals over the gaussian integers," Comm. Pure Appl. Math., 29:3 (1976) 323--341.  MR 54:12704

Hull2006

Hull, Thomas, Project origami, A K Peters Ltd., 2006.  Wellesley, MA, pp. xx+245, ISBN 978-1-56881-258-8; 1-56881-258-2. Activities for exploring mathematics.  MR2330113

Hurwitz62

A. Hurwitz, "New Mersenne primes," Math. Comp., 16 (1962) 249-251.  MR 26:3684

Huxley72

M. N. Huxley, The distribution of prime numbers, Oxford University Press, Oxford, 1972.  MR 56:2943

HW79

G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford University Press, 1979.  ISBN 0198531702. MR 81i:10002 (Annotation available)