{"id":221,"date":"2017-03-11T21:44:41","date_gmt":"2017-03-11T21:44:41","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/holden\/?page_id=221"},"modified":"2020-05-26T21:37:20","modified_gmt":"2020-05-26T21:37:20","slug":"reprints-and-preprints","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/holden\/publications-and-talks\/reprints-and-preprints\/","title":{"rendered":"Reprints and Preprints"},"content":{"rendered":"<h6>Number Theory and Cryptography:<\/h6>\n<ul>\n<li>Irregularity of prime numbers over real quadratic fields. In: <i>Algorithmic number theory: third international symposium; proceedings<\/i>, no. 1423 in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998. [<a href=\"https:\/\/doi.org\/10.1007\/BFb0054884\">publisher<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/antspost.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/Published\/antsiii-pub.pdf\">pdf<\/a>]<\/li>\n<li>Comparison of Algorithms to Calculate \u201cQuadratic Irregularity\u201d of Prime Numbers: Extended Abstract. In: Proceedings of the Conference on The Mathematics of Public-Key Cryptography, June 12\u201317, 1999, Fields Institute, Toronto. [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/torontopost.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/torontopost.pdf\">pdf<\/a>]<\/li>\n<li>On the Fontaine-Mazur Conjecture for number fields and an analogue for function fields. <i>Journal of Number Theory<\/i>, 81:16\u201347, 2000. [<a href=\"http:\/\/www.idealibrary.com\/links\/doi\/10.1006\/jnth.1999.2434\">publisher<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/jntpost.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/jntpdf.pdf\">pdf<\/a>]<\/li>\n<li>Comparison of algorithms to calculate quadratic irregularity of prime numbers. <i>Mathematics of Computation<\/i>, 71:863\u2013871, 2002. [<a href=\"http:\/\/dx.doi.org\/10.1090\/S0025-5718-01-01341-2\">publisher<\/a>] [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0010286\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/mathcomppost.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/Published\/mathcomp02-pub.pdf\">pdf<\/a>]<\/li>\n<li>Fixed Points and Two-Cycles of the Discrete Logarithm. In: <i>Algorithmic number theory: 5th international symposium; proceedings<\/i>, no. 2369 in Springer Lecture Notes in Computer Science, Springer-Verlag, 2002. [<a href=\"https:\/\/doi.org\/10.1007\/3-540-45455-1_32\">publisher<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/antsv.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/Published\/antsv-pub.pdf\">pdf<\/a>] [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0208028\">addenda\/corrigenda from xxx<\/a>]<\/li>\n<li>Notes on an analogue of the Fontaine-Mazur conjecture. With Jeffrey D. Achter. <i>Journal de Th\u00e9orie des Nombres de Bordeaux<\/i>, 15:627\u2013637, 2003. [<a href=\"http:\/\/almira.math.u-bordeaux.fr\/jtnb\/2003-3\/jtnb15-3_english.html#jourelec\">publisher<\/a>] [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0105087\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/fmpost.txt\">abs<\/a>]<\/li>\n<li>First-hit analysis of algorithms for computing quadratic irregularity. <i>Mathematics of Computation<\/i>, 73:939\u2013948, 2004. [<a href=\"http:\/\/www.ams.org\/mcom\/2004-73-246\/S0025-5718-03-01593-X\/home.html\">publisher<\/a>] [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0011054\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/mathcomp2post.txt\">abs<\/a>]<\/li>\n<li>Distribution of Values of Real Quadratic Zeta Functions. In: <i>Unusual Applications of Number Theory<\/i>, no.\u00a064 in DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, AMS, 2004. [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0010285\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/dimacspost.txt\">abs<\/a>]<\/li>\n<li>New Conjectures and Results for Small Cycles of the Discrete Logarithm. With Pieter Moree. In: <i>High Primes and Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams<\/i>, no.\u00a041 in Fields Institute Communications, AMS, 2004. [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0305305\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/cycles_summary_v4.txt\">abs<\/a>]<\/li>\n<li>Abelian varieties over finite fields with a specified characteristic polynomial modulo \u2113. <i>Journal de Th\u00e9orie des Nombres de Bordeaux<\/i>, 16:173\u2013178, 2004. [<a href=\"http:\/\/almira.math.u-bordeaux.fr\/jtnb\/2004-1\/jtnb16-1_english.html#jourelec\">publisher<\/a>] [<a href=\"http:\/\/xxx.lanl.gov\/abs\/math.NT\/0010284\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/abvarpost.txt\">abs<\/a>]<\/li>\n<li>Distribution of the Error in Estimated Numbers of Fixed Points of the Discrete Logarithm. <i>Communications in Computer Algebra<\/i>, 38:111\u2013118, 2004. [<a href=\"http:\/\/portal.acm.org\/citation.cfm?id=1060328.1060329&amp;coll=ACM&amp;dl=ACM&amp;idx=1060328&amp;part=periodical&amp;WantType=periodical&amp;title=ACM%20SIGSAM%20Bulletin&amp;CFID=15151515&amp;CFTOKEN=6184618#abstract\">publisher<\/a> or <a href=\"http:\/\/www.acm.org\/sigsam\/bulletin\/articles\/150\/Holden.pdf\">publisher<\/a>] [<a href=\"http:\/\/arxiv.org\/abs\/math.NT\/0401014\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/ants-fperror.txt\">abs<\/a>]<\/li>\n<li>Some Heuristics and Results for Small Cycles of the Discrete Logarithm. With Pieter Moree. <i>Mathematics of Computation<\/i>, 75:419\u2013449, 2006. [<a href=\"http:\/\/www.ams.org\/journal-getitem?pii=S0025-5718-05-01768-0\">publisher<\/a>] [<a href=\"http:\/\/arxiv.org\/abs\/math.NT\/0401013\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/cycles_joint.txt\">abs<\/a>]<\/li>\n<li>Mapping the discrete logarithm. \u00a0With Daniel R. Cloutier. Involve, 3:197\u2013213, 2010.\u00a0 [<a href=\"http:\/\/pjm.math.berkeley.edu\/involve\/2010\/3-2\/p06.xhtml\">publisher<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/Published\/involve-v3-n2-p06-s.pdf\">pdf<\/a> (for screen)] \u00a0[<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/Published\/involve-v3-n2-p06-p.pdf\">pdf<\/a> (for printing)]<\/li>\n<li>Counting Fixed Points, Two-Cycles, and Collisions of the Discrete Exponential Function using p-adic Methods. With Margaret M. Robinson.\u00a0\u00a0 <i>Journal of the Australian Mathematical Society<\/i>, 92: 163-178, 2012. (Special issue in memory of Alf van der Poorten) [<a href=\"http:\/\/journals.cambridge.org\/abstract_S1446788712000262\">publisher<\/a>] [<a href=\"http:\/\/arxiv.org\/abs\/1105.5346\">xxx<\/a>]<\/li>\n<li>Counting fixed points and rooted closed walks of the singular map x \u21a6 x<sup>x<sup>n<\/sup><\/sup>.\u00a0 With Pamela A. Richardson and Margaret M. Robinson.\u00a0 <i data-test=\"journal-title\">p-Adic Numbers, Ultrametric Analysis and Applications<\/i>, 12: 12\u201328, <span data-test=\"article-publication-year\">2020<\/span>. [<a href=\"https:\/\/link.springer.com\/article\/10.1134\/S2070046620010021\">publisher<\/a>] [<a href=\"https:\/\/arxiv.org\/abs\/1609.06696\">xxx<\/a>]<\/li>\n<\/ul>\n<h6>Mathematics of Arts and Crafts:<\/h6>\n<ul>\n<li>The Graph Theory of Blackwork Embroidery. In: \u00a0Making Mathematics with Needlework: Ten Papers and Ten Projects, edited by sarah-marie belcastro and Carolyn Yackel. \u00a0A.K. Peters, 2007. \u00a0[<a href=\"http:\/\/www.toroidalsnark.net\/mkbook.html\">book web page<\/a>]\u00a0[<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/blackwork.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/blackwork.pdf\">pdf<\/a> (preprint, not complete)]]<\/li>\n<li>Hyperbolic Tilings with Truly Hyperbolic Crochet Motifs. With Lana Holden. In: <i>Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture<\/i>, Tessellations Publishing, 2014.\u00a0 [<a href=\"http:\/\/archive.bridgesmathart.org\/2014\/bridges2014-405.html\">publisher<\/a> (full-text freely available)]<\/li>\n<li>Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. With Lana Holden. In: <i>Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture<\/i>, Tessellations Publishing, 2016.\u00a0 [<a href=\"http:\/\/archive.bridgesmathart.org\/2016\/bridges2016-127.html\">publisher<\/a> (full-text freely available)]<\/li>\n<li>The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata. In: <em>Proceedings of Bridges 2017: Mathematics, Music, Art, Architecture, Education, Culture,<\/em> Tessellations Publishing, 2017.\u00a0 [<a href=\"http:\/\/archive.bridgesmathart.org\/2017\/bridges2017-463.html\">publisher<\/a> (full-text freely available)]\n<div class=\"csl-entry\"><\/div>\n<\/li>\n<li>\n<div class=\"csl-entry\">Rock Me Fibonacci: Using Recurrence Relations and State-Transition Matrices to Count Rock Drum Fill Patterns. In: <em>Proceedings of Bridges 2018: Mathematics, Music, Art, Architecture, Education, Culture,<\/em> Tessellations Publishing, 2018.\u00a0 [<a href=\"http:\/\/archive.bridgesmathart.org\/2018\/bridges2018-391.html\">publisher<\/a> (full-text freely available)]<\/div>\n<\/li>\n<li>A Survey of Cellular Automata in Fiber Arts. With Lana Holden.\u00a0 In:\u00a0 <em>Handbook of the Mathematics of the Arts and Sciences<\/em><em>,\u00a0<\/em>Springer, 2019. [<a href=\"https:\/\/doi.org\/10.1007\/978-3-319-70658-0_54-1\">publisher<\/a>]<\/li>\n<\/ul>\n<h6>Teaching:<\/h6>\n<ul>\n<li><a name=\"cryptologia\"><\/a>A Comparison of Cryptography Courses. <i>Cryptologia<\/i>, 28 (2), 2004. [<a href=\"http:\/\/www.journalsonline.tandf.co.uk\/openurl.asp?genre=article&amp;id=doi:10.1080\/0161-110491892809\">publisher<\/a>] [<a href=\"http:\/\/arxiv.org\/abs\/cs\/0401002\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/cryptologia.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/cryptologia-post.pdf\">pdf<\/a>]<\/li>\n<li>Underwater Model Rockets: An Innovative Design Problem and Competition for Undergraduate Students in Engineering, Math and Science. With Richard Layton, Tina Hudson and Laurence D. Merkle. In: <i>Proceedings of the 2005 American Society for Engineering Education Annual Conference and Exposition<\/i>, 2005. [<a href=\"https:\/\/peer.asee.org\/14586\">publisher<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/asee05_underwater_rocket.txt\">abs<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/asee05_underwater_rocket_post.pdf\">pdf<\/a>]<\/li>\n<li>Underwater Hacker Missile Wars: A Cryptography and Engineering Contest. With Richard Layton, Laurence Merkle, and Tina Hudson. <i>Cryptologia<\/i>, 30:69\u201377, 2006. [<a href=\"http:\/\/www.journalsonline.tandf.co.uk\/openurl.asp?genre=article&amp;id=doi:10.1080\/01611190500401144\">publisher<\/a>] [<a href=\"http:\/\/arxiv.org\/abs\/cs\/0509053\">xxx<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/mupecpost.txt\">abs<\/a>]<\/li>\n<li>Review of Complexity and Cryptography: An Introduction by John Talbot and Dominic Welsh <i>Cryptologia<\/i>, 32:92\u201397, 2008. [<a href=\"http:\/\/www.journalsonline.tandf.co.uk\/openurl.asp?genre=article&amp;id=doi:10.1080\/01611190701582619\">publisher<\/a>]<\/li>\n<li>Math in Your Hands: Integrating the Use of Maple with the Collaborative Use of Wireless Tablet PCs. With Shannon Sexton and Julia Williams. In: <i>The Impact of Tablet PCs and Pen-based Technology: New Horizons<\/i>, Purdue University Press, 2009.\u00a0 [<a href=\"http:\/\/www.thepress.purdue.edu\/titles\/format\/9781557535474\">book web page<\/a>] [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/wipte2009_abs.txt\">abs<\/a>]<\/li>\n<li>A Good Hash Function is Hard to Find, and Vice Versa. <i>Cryptologia<\/i>, 37:107-119, 2013.\u00a0 [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/jha-paper.pdf\">pdf<\/a>]<br \/>\nAcknowledgement:\u00a0 This is an Author\u2019s Accepted Manuscript of an article published in <i>Cryptologia<\/i>, copyright Taylor &amp; Francis, available online at: <a href=\"http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.687429\"> http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.687429<\/a>. [<a href=\"http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.687429\">publisher<\/a>]<\/li>\n<li>Demitasse: A \u201cSmall\u201d Version of the Tiny Encryption Algorithm and its Use in a Classroom Setting.\u00a0\u00a0 <i>Cryptologia<\/i>, 37:74-83, 2013.\u00a0 [<a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\/Preprints\/stea-paper-revised.pdf\">pdf<\/a>]<br \/>\nAcknowledgement:\u00a0 This is an Author\u2019s Accepted Manuscript of an article published in <i>Cryptologia<\/i>, copyright Taylor &amp; Francis, available online at: <a href=\"http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.660237\">http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.660237<\/a>. [<a href=\"http:\/\/www.tandfonline.com\/10.1080\/01611194.2012.660237\">publisher<\/a>]<\/li>\n<\/ul>\n<div class=\"SnapLinksContainer\" style=\"margin-left: 0px;margin-top: 0px\">\n<div class=\"SL_SelectionRect\" style=\"height: 0px;width: 2px\">\n<div class=\"SL_SelectionLabel\"><\/div>\n<\/div>\n<p><!-- Used for easily cloning the properly namespaced rect --><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Number Theory and Cryptography: Irregularity of prime numbers over real quadratic fields. In: Algorithmic number theory: third international symposium; proceedings, no. 1423 in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998. [publisher] [abs] [pdf] Comparison of Algorithms to Calculate \u201cQuadratic Irregularity\u201d of Prime Numbers: Extended Abstract. In: Proceedings of the Conference on The Mathematics of &hellip; <a href=\"https:\/\/wordpress.rose-hulman.edu\/holden\/publications-and-talks\/reprints-and-preprints\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Reprints and Preprints<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":938,"featured_media":0,"parent":83,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-221","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P8uE0W-3z","_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/users\/938"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/comments?post=221"}],"version-history":[{"count":11,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/221\/revisions"}],"predecessor-version":[{"id":1441,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/221\/revisions\/1441"}],"up":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/83"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/media?parent=221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}