21. BIOGRAPHIES OF PAST NUMBER THEORISTS And VARIOUS ITEMS OF HISTORICAL INTEREST George E. Cooke; Allan Joseph Champneys Cunningham (JLMS); harold davenport. harold davenport (MacTutor); harold davenport (AA); harold davenport (BLMS, http://www.numbertheory.org/ntw/N14.html

Biographies of past number theorists and various items of historical interest Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Collected Works Collected papers of Peter Roquette , editors: Anthony V. Geramita and Paulo Ribenboim, Queens University Ouvres J.-P. Serre I-III , Springer 2003 , AMS Notices, March 2005 On the AMS Notices Publication of Krieger's Translation of Weil's 1940 Letter , by Serge Lang, AMS Notices, July 2005 Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician The mountains of Pi , an article about Gregory and David Chudnovsky, by Richard Preston The Life of Alexandre Grothendieck , part (a), AMS Notices October 2004 The Life of Alexandre Grothendieck , part (b), AMS Notices November 2004 Prizes John Tate awarded a Wolf Prize for 2003 SASTRA Ramanujan Prize Serre receives Abel prize , Notices of the AMS, Volume 50, Number 6, 2003 Serre awarded Abel Prize Interview with Jean-Pierre Serre , NAMS February 2004

22. Number Theory - Wikipedia, The Free Encyclopedia davenport, harold (1999). The Higher Arithmetic An Introduction to the Theory of Numbers (7th ed.). Cambridge University Press. ISBN 0521634466. http://en.wikipedia.org/wiki/Number_theory

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over $125,000 has been donated since the drive began on 19 August. Thank you for your generosity! Number theory From Wikipedia, the free encyclopedia. Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers . It contains many results and open problems that are easily understood, even by non-mathematicians. More generally, the field has come to be concerned with wider classes of problems that have arisen naturally from the study of integers. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. See for example the list of number theory topics Mathematicians working in the field of number theory are called number theorists The term " arithmetic " is also used to refer to number theory. This is a somewhat older term, which is no longer as popular as it once was. Number theory used to be called the higher arithmetic , but this is dropping out of use. Nevertheless, it still shows up in the names of mathematical fields (

23. The Mathematics Genealogy Project - Harold Davenport According to our current online database, harold davenport has 9 students and descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=18241

24. The Mathematics Genealogy Project - Update Data For Harold Davenport If you have Mathematics Subject Classifications to submit for an entire group of individuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=18241

25. Trinity College Cambridge - Davenport, Harold (1901-1969) Mathematician davenport, harold (19011969) Mathematician. Directory Home Back. Fellow TC 1932-37,1958-1969; Assistant Lecturer at Manchester University 1937-41; http://www.trin.cam.ac.uk/index.php?pageid=546&display=21

26. Basic Library List-Number Theory davenport, harold. The Higher Arithmetic An Introduction to the Theory of Numbers, New York, davenport, harold M. Multiplicative Number Theory. http://www.maa.org/BLL/numtheory.htm

Number Theory Back to Table of Contents Number Theory: Introductory Texts * Andrews, George E. Number Theory. Dover Publications, 1998. ISBN 0486682528 ** Baker, Alan. A Concise Introduction to the Theory of Numbers New York, NY: Cambridge University Press, 1985. ISBN 0521286549. Burn, R.P. A Pathway Into Number Theory New York, NY: Cambridge University Press, 1996. ISBN 0521575400 Burton, David M. Elementary Number Theory, New York, McGraw-Hill Companies, 1997. Second Edition. ISBN 0070094667 * Davenport, Harold. The Higher Arithmetic: An Introduction to the Theory of Numbers, New York, NY: Cambridge University Press, 1998. ISBN 0521634466. Elements of the Theory of Numbers. San Diego, Academic Press, 1999. ISBN 0122091302 Dudley, Underwood. Elementary Number Theory, New York, NY: W.H. Freeman, 1978. ISBN 071670076X. Flath, Daniel E. Introduction to Number Theory * * * Hardy, Godfrey H. and Wright, E. M. Introduction to the Theory of Numbers. Oxford University Press, 1980. ISBN 0198531702 (Out of Print) Hua, Loo-Keng.

27. Index For Surnames Beginning With D (Descendancy Pages) davenport, harold Dwane (b. Private) , (MarvisBarnhill) , (Huron-Barnhill) , (Barnhill-Thompson) davenport, harold Dwane (b. Private) , (Marvis-Barnhill) http://ocotillo.us/barnhill/h_d.htm

Index for surnames beginning with D (Descendancy Pages) A B C D ... P Q R S T U ... W X Y Z (NONE) Back to Main Page Daily, Allen Frank (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Daily, Donald Marion (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Daily, Leola Nettie (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Daily, Thelma (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Davenport, Aaron Dwane (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Davenport, Brian Allen (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Davenport, Harold Dwane (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Davenport, Harold Dwane (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Davenport, Jennifer Kay (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) Deason, Grant Wesley (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Barnhill-Thompson) (Hyde-Martinez) Deason, Madison (b. Private) , (Marvis-Barnhill) (Huron-Barnhill) (Deason-Roberson) Dennehy, Unknown (b. Private)

28. Powell's Books - Multiplicative Number Theory 3RD Edition By Harold Davenport by harold davenport. ISBN 0387950974 (More details. ISBN 0387950974; Other davenport, harold; Author Montgomery, Hugh L. http://www.powells.com/biblio?isbn=0387950974

29. West Point Grad Personal Homepages davenport, harold Augustus, 22208, davenport, harold Augustus, E2 Davies, Thomas Hayden, 21810, Davies, Thomas Hayden, H1 Davis, Charles Hamilton, 21667 http://defender.west-point.org/service/gradphp/display/1,1142,usma1958:alpha:D,0

Search in WP-ORG A B C D ... Next Displays 106 through 125 of 611 Cullum Name Co D'Amore, Robert Edward Daley, John Michael Davall, Bernard Michael Davenport, Bruce Bradley Davenport, Harold Augustus Davies, Thomas Hayden Davis, Charles Hamilton Davis, James Monteville Davis, Joseph Mortimer Day, Wayne David Dean, Paul D. Deboeser, Edward Vincent Dechant, Joseph Mitchell Deely, John Richard Degen, Robert Dejardin, Donald A. Delucia, Alex Densford, Charles Francis Denson, William Alonzo Depew, David Ernest Previous Next Displays 106 through 125 of 611 A B C D ... Deceased Shortcut Academy Support Cadet Parenting Donations Email/POP ... WP-ORG is funded by the generosity of member contributions, and is governed and run independently from USMA and AOG. WP-ORG is operated by volunteers serving the Long Gray Line.

30. Math Lessons - Harold Davenport Math Lessons harold davenport. This produced the work on the Hasse-davenport relations for Gauss sums, and contact with Hans Heilbronn , with whom http://www.mathdaily.com/lessons/Harold_Davenport

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... Number theorists Harold Davenport Harold Davenport 30 October 9 June ) was an English mathematician, known for his extensive work in number theory . He was born in Huncoat , Lancashire . He was educated at Accrington Grammar School, the University of Manchester , where he graduated in , and Trinity College, Cambridge . He became a research student of J. E. Littlewood , working on the question of the distribution of quadratic residues The attack on the distribution question leads quickly to problems that are now seen to be special cases of those on local zeta-functions , for the particular case of some special hyperelliptic curves such as Y X X X X k Bounds for the zeroes of the local zeta-function immediately imply bounds for sums x x x x k Legendre symbol modulo a prime number p , and the sum is taken over a complete set of residues mod p In the light of this connection it was appropriate that, with a Trinity research fellowship, Davenport in

31. Blackwell Synergy - Cookie Absent davenport, Robertson D. Judd, W. John (2005) harold Austen Oberman. Transfusion 45 (2), 283284. doi 10.1111/ j.1537-2995.2004.04424.x http://www.blackwell-synergy.com/doi/abs/10.1111/j.1537-2995.2004.04424.x

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32. Jane Davenport Fairbank, Pioneer For Women In Physics, Dies Memorial gifts can be made to the Jane davenport Fairbank and harold and Mildred F. davenport endowment fund for the acquisition and maintenance of science http://news-service.stanford.edu/news/2003/july23/fairbank-723.html

Stanford Report, July 16, 2003 Jane Davenport Fairbank, pioneer for women in physics, dies Jane Davenport Fairbank, a pioneer for women in physics and longtime member of the Stanford community, died July 1 in Palo Alto. She was 84. Fairbank was an accomplished scientist, editor and devoted mother. Her decades of community service included serving as president of the Stanford University Women's Club and of the Woodside High School PTA and as a founding member of the Bay Area Consortium on the Educational Needs of Women. Born Jane Davenport on Aug. 21, 1918, in Seattle, Fairbank graduated Phi Beta Kappa from Whitman College with an A.B. degree in chemistry and physics and was only the second woman to do graduate work in physics at the University of Washington. After the outbreak of World War II, she and her husband, William Martin Fairbank, a professor of physics at Stanford who died in 1989, were invited to leave graduate school and join the war project to develop ship-borne radar at the MIT Radiation Laboratory. Fairbank was the second woman scientist employed at the Radiation Laboratory. Following the war, she retired from physics and devoted her life to her family. "She always maintained that her sons were her greatest accomplishment," said her son William Fairbank Jr., who lives in Fort Collins, Colo.

33. Carl's Cam: War Memorial, Christ Church School, Macclesfield, Cheshire. harold davenport JW DENNERLEY James N DIXON Arthur R EATON Edward ECCLESTON Sydney ELKIN Frederick BAMFORD, MC, Albert FINNEY John S FITCHETT http://www.carlscam.com/macclesfield/ccschoolmem.htm

War Memorial, Christ Church School, Macclesfield, Cheshire. Location King's School, Macclesfield, Cheshire. Description A large wooden panel dominates the end wall of the library. It shows two lists of old boys of Christ Church School, Macclesfield: those who served in the first world war, and those who lost their lives. Presumably the panel was moved to King's School following the closure and demolition of Christ Church School. King's School also has its own war memorials. Inscription CHRIST CHURCH SCHOOL OLD BOYS' ROLL OF HONOUR OLD BOYS WHO PAID THE SUPREME SACRIFICE Walter ALBINSON William ALBINSON Harry BAILEY Samuel BAILEY James E BAYLEY George BARBER George A BELFIELD James W BRACEGIRDLE Harold BRADBURY Percy BRADBURY Harry BRADSHAW Sydney BRATHERTON Thomas BROADHEAD Frederick CARTER Fred CATTERALL William E K CHESWORTH J Arnold CLAYTON James CLEGG Ronald CORBISHLEY Arthur CROSS Charles R DALE Frederick J DALE Harold DAVENPORT J W DENNERLEY James N DIXON Arthur R EATON Edward ECCLESTON Sydney ELKIN Frederick BAMFORD, M.C.

34. Carl's Cam: War Memorial, St Michael, Macclesfield, Cheshire. 2nd Lieut harold davenport Sgt Ernest DAVIES Sgt John DANIELS Sgt Charles DALE Cpl James davenport L/Cpl Thomas davenport L/Cpl Harry DUFFIELD http://www.carlscam.com/macclesfield/warmemstm.htm

War Memorial, St Michael, Macclesfield, Cheshire. Location In the church of St Michael and all Angels, Macclesfield, Cheshire. Description Brass panels engraved with the names those of the area who fell in the first world war. Inscription: SACRED TO THE MEMORY OF MACCLESFIELD'S GALLANT SONS WHO FELL IN THE GREAT WAR FOR WORLD FREEDOM AND JUSTICE AD 1914 - 1919 THIS TABLET WAS ERECTED BY THE WORSHIPFUL THE MAYOR OF MACCLESFIELD COUNCILLOR JOSEPH GEORGE FROST J.P. ON THE DECLARATION OF PEACE 1919. Sgt Samuel ARMSTRONG Cpl Frank ALLMAN Lce Cpl Harry ADKINSON Lce Cpl Charles ARNOLD Spr William ALDRED Dvr John C ASHLEY Pte James ALBINSON Pte Walter ALBINSON Pte Herbert ALLEN Pte Fred ALLMAN Pte George ALLMAN Pte Benjamin ARNOLD Pte Thomas ARNOLD Pte Fred ASHNESS Pte William ASHNESS Pte Frank AVERY Lt Col Henry BACKHOUSE Lieut Charles B H BECK 2nd Lt George BARBER 2nd Lt Duncan BRADBURY 2nd Lt William BIDDULPH Sgt William J BOTTOMLEY Sgt Wilfred BRADLEY Cpl James BAILEY Cpl Alfred BARTON Cpl Albert BIRCH Cpl Harold BROWN Cpl Sydney BLACKSHAW Cpl Stanley BRADBURY Lce Cpl Harry BULL C hief M otor M ec W C BROADHURST Gnr Harry BAYLEY Gnr William BRUNT Gnr Frank E BARNETT Gnr Joseph H BARLOW Gnr Cyril H BARRATT Gnr Samuel BAYLEY Gnr George A BELFIELD Gnr Arthur BROCKLEHURST Spr John BROOMHEAD Spr John BURGESS Dvr Frank BURGESS Rfm William BEAUMONT AB Frank BURGESS Pte Harry BRADSHAW Pte Wilfren BROUGH Pte Charles BROCKLEHURST Pte James BRADBURY

35. Erdos0d, Version 2004, February 2, 2004 This Is A List Of The 509 1934 SZEKERES, GEORGE 5 joint papers 1934 TURAN, PAL* 30 joint papers 1936 davenport, harold* 7 joint papers 1936 FELDHEIM, ERVIN* 1936 GALLAI, http://www.oakland.edu/enp/Erdos0d

Erdos0d, Version 2004, February 2, 2004 This is a list of the 509 co-authors of Paul Erdos, sorted by the year of their first joint paper. Please send corrections and comments to . The Erdos Number Project Web site can be found at the following URL:

36. Erdos0p, Version 2004, February 2, 2004 This Is A List Of The 202 first in 1953 ROGERS, CLAUDE AMBROSE 7 joint papers, first in 1943 KAKUTANI, SHIZUO 7 joint papers, first in 1936 davenport, harold* 6 joint papers, http://www.oakland.edu/enp/Erdos0p

Erdos0p, Version 2004, February 2, 2004 This is a list of the 202 co-authors of Paul Erdos who have more than one paper with him, sorted by number of joint papers. (An additional 307 co-authors have one joint paper with Erdos.) All joint papers, even if there are other coauthors in addition to Erdos, are considered (i.e., not just the 2-author joint papers). Please send corrections and comments to . The Erdos Number Project Web site can be found at the following URL:

37. Browse The Turing Digital Archive Keywords Church, Alonzo; davenport, harold; Mahler, Kurt; Newman, Maxwell Herman Alexander. Provenance Assembled by the AM Turing Trust http://www.turingarchive.org/browse.php/A/9

Browse the Turing Digital Archive Contents of AMT/A/9 ( up to A ALS and 2 TLS to M.H.A. Newman regarding publication of AMT’s papers from Harold Davenport, Kurt Mahler and Alonzo Church. 17 Mar. - 30 June 1958. Paper, 3 sh. in envelope. Keywords: Church, Alonzo; Davenport, Harold; Mahler, Kurt; Newman, Maxwell Herman Alexander Provenance: Assembled by the A.M. Turing Trust Introduction Browse Search Index

38. Index Of The Turing Digital Archive B/24; Darlington, Sophy, A/16; Darlington, WS, A/16, A/19, A/28; Darwin, Sir Charles Galton, A/28, D/5; davenport, harold, A/9; Davies, DW, A/10, B/25 http://www.turingarchive.org/index/

Index of the Turing Digital Archive If you can't find what you want in this index, try searching for some key words or phrases or try browsing by category. ‘A diffusion reaction theory of morphogenesis in plants’, C/7 ‘A formal theorem in Church’s theory of types’, B/29 ‘A method for the calculation of the zeta-function’, B/17 ‘A new mechanism which slows simple conditioning’, B/34 ‘A note on normal numbers.’, C/15 ‘A practical form of type theory I’, B/3 ‘A practical form of type theory II’, C/6 A.M. Turing Award, A/24 A.M. Turing’s Original Proposal for the Development of an Electronic Computer, B/25 Abraham, M., B/33 ACE (Automatic Computing Engine), B/1 B/2 C/32 Alan Turing : the Enigma, A/38 A/40 D/11 D/12 ... D/13 Alexander, C. Hugh, A/17 Almost periodic functions, B/10 D/11 ‘An electrical hypothesis of central inhibition ...’, B/48 Andrews, A.J.P., A/15 ‘Another proof’, C/23 Ashby, W. Ross, B/34 Association of Computing Machinery, A/24 Bachman, Charles W., A/24 Ball, W.W. Rouse, B/35 Bates, John A.V., A/5 Baum, Rudy M., A/40 Bayley, Don, A/5 BBC, B/5 B/6 ‘Bemerkungen zu den Grundlagen der Geometrie’

39. My Favorite Books By Shyam Sunder Gupta 10 davenport, harold. The Higher Arithmetic An Introduction to the Theory of Numbers, 6th ed. Cambridge, England Cambridge University Press, 1992. http://www.shyamsundergupta.com/referencebooks.htm

My Favorite Books [1] Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 59, 1987. [2] Beck, Anatole; Bleicher, Michael N.; and Crowe, Donald W. Excursions into Mathematics, the Millennium Edition. Natick, MA: AK Peters, 2000. 499 p. [3] Beiler, Albert H. Recreations in the Theory of Numbers. New York: Dover, 1966. [4] Bressoud, D. Factorization and Primality Testing. New York: Springer-Verlag, 1989. [5] Carroll, Lewis. Pillow Problems and A Tangles Tale. New York: Dover, 1958. [6] Cohen, Henri. Advanced Topics in Computational Number Theory. New York: Springer-Verlag, 2000. 578 p. [7] Cohen, Henri. A Course in Computational Algebraic Number Theory, 3rd. corr. ed. New York: Springer-Verlag, 1996. 534 p. [8] Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 33-38, 1996. [9] Crandall, Richard and Pomerance, Carl. Prime Numbers. New York: Springer-Verlag, 2001. 352 p. [10] Davenport, Harold. The Higher Arithmetic: An Introduction to the Theory of Numbers, 6th ed. Cambridge, England: Cambridge University Press, 1992. 217 p. [11] Bressoud, David M. and Wagon, Stan.

40. Collected Works MAIN TITLE The collected works of harold davenport / edited by BJ Birch, H. Halberstam, CA Rogers. PUBLISHER London ; New York Academic Press, 1977. http://lib.nmsu.edu/subject/math/mbib.html

C OLLECTED W ORKS F M ATHEMATICIANS B IBLIOGRAPHY CALL NO: QA3 A14 1881 AUTHOR: Abel, Niels Henrik, 1802-1829. MAIN TITLE: OEuvres completes de Niels Henrik Abel. EDITION: Nouv. ed., publiee aux frais de l'etat norve-gien par L. Sylow PUBLISHER: Christiania [Sweden] Grondahl, 1881. LOCATION: Branson Material: 2 v. in 1. 28 cm. Contents: t. 1. Memoires publies par Abel.t. 2. Memoires posthumes d'Abel Subject: Mathematics. cm Added Entry: Sylow, Peter Ludvig Mejdel, 1832- Added Entry: Lie, Sophus, 1842-1899. CALL NO: QB3 A2 AUTHOR: Adams, John Couch, 1819-1892. MAIN TITLE: The scientific papers of John Adams Couch, edited by William Grylls Adams, with a memoir by J. W. L. Glaisher. PUBLISHER: Cambridge, University press, 1896-1900. LOCATION: Branson V.1 and V.2 Material: 2 v. front. (port.) fold. map, facsims., diagr. 30 cm. Contents: v. 1. Biographical notice, by J. W. L. Glaisher. [Original papers published by the author during his lifetime, 1844-1890, ed. by William Grylls Adams]v. 2. pt. 1. Extracts from unpublished manuscripts, ed. by Ralph Allen Simpson. pt. 2. Terrestial magnetism, ed. by William Grylls Adams. Subject: Geomagnetism.

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