{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/71221"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/71221","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Zeta-Functions of Two-Sided Ideals in Arithmetic Orders","abstract":"The thesis deals with the theory of two-sided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.","abstract_html":"The thesis deals with the theory of two-sided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.","abstract_has_math":false,"creators":["Raggi-Cardenas, Alberto Gerardo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T06:18:10Z","date_published":"2014-12-16T06:18:10Z","updated_at":"2026-07-22T22:26:04Z","subjects":["Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8422802"],"render_values":[{"text":"(UMI)AAI8422802","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/71221","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Raggi-Cardenas, Alberto Gerardo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T06:18:10Z","10000-01-01","1984"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/71221","(UMI)AAI8422802"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The thesis deals with the theory of two-sided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.","The work begins with an introduction to the theory of Z - and L-series. The basic plan is to compare these series with a Z-integral whose analytic properties are more accessible, and then use these properties to obtain some analogous ones of Z- and L-series. Next the theory of two-sided ideals is studied. First we translate the general theory just developed to our context; then we obtain explicit formulas for the zeta functions for some particular classes of orders, and we give some examples. We also study, in the simple case, the behavior of the zeta-functions at their largest pole. The thesis ends with discussion of some possible generalizations of the prime ideal theorem to two-sided ideals of arithmetic orders in simple algebras.","Made available in DSpace on 2014-12-16T06:18:10Z (GMT). No. of bitstreams: 1 8422802.pdf: 1861358 bytes, checksum: 9d9abcf4c379ae9db151f112f4dc0cf2 (MD5) Previous issue date: 1984","Embargo set by: Seth Robbins for item 71387 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","78 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984."]},{"key":"dc:title","label":"Title","values":["Zeta-Functions of Two-Sided Ideals in Arithmetic Orders"]}]}],"canonical_facts":{"dc:creator":["Raggi-Cardenas, Alberto Gerardo"],"dc:date":["2014-12-16T06:18:10Z","10000-01-01","1984"],"dc:description":["The thesis deals with the theory of two-sided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.","The work begins with an introduction to the theory of Z - and L-series. The basic plan is to compare these series with a Z-integral whose analytic properties are more accessible, and then use these properties to obtain some analogous ones of Z- and L-series. Next the theory of two-sided ideals is studied. First we translate the general theory just developed to our context; then we obtain explicit formulas for the zeta functions for some particular classes of orders, and we give some examples. We also study, in the simple case, the behavior of the zeta-functions at their largest pole. The thesis ends with discussion of some possible generalizations of the prime ideal theorem to two-sided ideals of arithmetic orders in simple algebras.","Made available in DSpace on 2014-12-16T06:18:10Z (GMT). No. of bitstreams: 1 8422802.pdf: 1861358 bytes, checksum: 9d9abcf4c379ae9db151f112f4dc0cf2 (MD5) Previous issue date: 1984","Embargo set by: Seth Robbins for item 71387 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","78 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984."],"dc:identifier":["http://hdl.handle.net/2142/71221","(UMI)AAI8422802"],"dc:subject":["Mathematics"],"dc:title":["Zeta-Functions of Two-Sided Ideals in Arithmetic Orders"],"dc:type":["text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:04Z"}