A. O. L. Atkin
























A. O. L. Atkin
Born
(1925-07-31)31 July 1925
Died 28 December 2008(2008-12-28) (aged 83)
Known for
Schoof–Elkies–Atkin algorithm, sieve of Atkin
Scientific career
Fields Computational number theory


Arthur Oliver Lonsdale Atkin (July 31, 1925 – December 28, 2008), who published under the name A. O. L. Atkin, was a British mathematician.


As an undergraduate during World War II, Atkin worked at Bletchley Park cracking German codes.[1] He received his Ph.D. in 1952 from the University of Cambridge, where he was one of John Littlewood's research students.[2] During 1964–1970, he worked at the Atlas Computer Laboratory at Chilton, computing modular functions. Toward the end of his life, he was Professor Emeritus of mathematics at the University of Illinois at Chicago.


Atkin, along with Noam Elkies, extended Schoof's algorithm to create the Schoof–Elkies–Atkin algorithm. Together with Daniel J. Bernstein, he developed the sieve of Atkin.


Atkin is also known for his work on properties of the integer partition function and the monster module. He was a vocal fan of using computers in mathematics, so long as the end goal was theoretical advance: "Each new generation of machines makes feasible a whole new range of computations; provided mathematicians pursue these rather than merely break old records for old sports, computation will have a significant part to play in the development of mathematics."[3]



Atkin died of hospital-acquired pneumonia on December 28, 2008, in Maywood, Illinois.[4]




Contents






  • 1 Selected publications


  • 2 See also


  • 3 References


  • 4 External links





Selected publications


.mw-parser-output .refbegin{font-size:90%;margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{list-style-type:none;margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li,.mw-parser-output .refbegin-hanging-indents>dl>dd{margin-left:0;padding-left:3.2em;text-indent:-3.2em;list-style:none}.mw-parser-output .refbegin-100{font-size:100%}



  • Atkin, A. O. L.; Lehner, J. (1970), "Hecke operators on Γ0 (m)", Mathematische Annalen, 185: 134–160, doi:10.1007/BF01359701, ISSN 0025-5831, MR 0268123.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output q{quotes:"""""""'""'"}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}

  • Atkin, A. O. L. and Morain, F. "Elliptic Curves and Primality Proving." Math. Comput. 61, 29-68, 1993.

  • Atkin, A. O. L. and Bernstein, D. J. Prime sieves using binary quadratic forms, Math. Comp. 73 (2004), 1023-1030.[1].




See also



  • Atkin-Goldwasser-Kilian-Morain certificate

  • Atkin–Lehner theory

  • Elliptic curve primality proving



References





  1. ^ "Gordon Bamford Preston".


  2. ^ A. O. L. Atkin at the Mathematics Genealogy Project


  3. ^ Birch, B. "Atkin and the Atlas Lab," in Buell, D. A. and Teitelbaum, J. T. Computational perspectives on number theory. American Mathematical Society, 1998. Pp. 13-20.


  4. ^ "Note from Henrietta Atkin".




External links



  • Atkin's university webpage

  • Atkin's info at The Prime Pages









-

Popular posts from this blog

Y

Image
This article is about the letter of the alphabet. For other uses, see Y (disambiguation). See also: Wye (disambiguation) Y Y y (See below) Usage Writing system Latin script Type Alphabetic and Logographic Language of origin Latin language Phonetic usage [ y ] [ ɨ ] [ j ] [ iː ] [ ɪ ] [ ɘ ] [ ə ] [ ɯ ] [ ɛː ] [ j ] [ ɥ ] [ ɣ̟ ] / w aɪ / / aɪ / Unicode value U+0059, U+0079 Alphabetical position 25 History Development Υ υ 𐌖 Y y Time period 54 to present Descendants  • U  • V  • W  • Ỿ  • ¥  • Ꮙ  • Ꮍ  • Ꭹ Sisters F Ѵ У Ў Ұ Ү ו و ܘ וּ וֹ ࠅ 𐎆 𐡅 ወ વ ૂ ુ उ Variations (See below) Other Other letters commonly used with y(x), ly, ny This article contains IPA phonetic symbols. Without proper rendering support, you may see question marks, boxes, or other symbols instead of Unicode characters. For an introductory guide on IPA symbols, see Help:IPA. ISO basic Latin alphabet Aa Bb Cc D...
Read more

Mount Tamalpais

Image
Mount Tamalpais Mount Tamalpais, viewed from the south Highest point Elevation 2,571 ft (784 m)   NAVD 88 [1] Prominence 2,456 ft (749 m)  [1] Listing California county high points 55th Coordinates 37°55′45″N 122°34′40″W  /  37.929088°N 122.577829°W  / 37.929088; -122.577829 Coordinates: 37°55′45″N 122°34′40″W  /  37.929088°N 122.577829°W  / 37.929088; -122.577829   [1] Geography Mount Tamalpais Marin County, California, U.S. Show map of California Mount Tamalpais Mount Tamalpais (the US) Show map of the US Parent range California Coast Ranges Topo map USGS San Rafael Geology Mountain type Sedimentary Climbing First ascent 1830s by Jacob P. Leese (first recorded ascent) [2] Easiest route Railroad Grade fire trail Mount Tamalpais ( / t æ m əl ˈ p aɪ . ɪ s / ; TAM -əl- PY -iss ; Coast Miwok: /t̪ɑmɑlˈpɑis̺/ , known locally as Mount Tam ) is a peak in Marin County, California, United State...
Read more

Indian Forest Service

Image
Indian Forest Service Service Overview Preceding service Imperial Forest Service (1864 to 1935) Year of Constitution 1966 Country India Staff College Indira Gandhi National Forest Academy (IGNFA), Dehradun, Uttarakhand Cadre Controlling Authority Ministry of Environment, Forests and Climate Change Legal personality Governmental: Government service General nature Administration of Forest and Wildlife resources Cadre strength 3131 (2182 Direct Recruits and 949 Promotion Posts) Website ifs.nic.in Service Chief Director General of Forests Siddhanth Das, IFS (1982 Batch, Odisha Cadre) [1] Head of the All India Civil Services Cabinet Secretary Pradeep Kumar Sinha, IAS Indian Forest Service (भारतीय वन सेवा) [2] is one of the three All India Services of the Government of India. The other two All India Services being the Indian Administrative Service (IAS) and the Indian Police Service (IPS). [3] [4] [5] It was constituted in...
Read more