{"id":"https://openalex.org/W2123608978","doi":"https://doi.org/10.1007/s00454-007-1330-y","title":"Notes on the Roots of Ehrhart Polynomials","display_name":"Notes on the Roots of Ehrhart Polynomials","publication_year":2007,"publication_date":"2007-06-05","ids":{"openalex":"https://openalex.org/W2123608978","doi":"https://doi.org/10.1007/s00454-007-1330-y","mag":"2123608978"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-007-1330-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1330-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1330-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1330-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045007454","display_name":"Christian Bey","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christian Bey","raw_affiliation_strings":["Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany","Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany","institution_ids":[]},{"raw_affiliation_string":"Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040119486","display_name":"Martin Henk","orcid":"https://orcid.org/0000-0003-1411-3033"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Henk","raw_affiliation_strings":["Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany","Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany","institution_ids":[]},{"raw_affiliation_string":"Institut fur Algebra und Geometrie, Universitat Magdeburg, Universitatsplatz 2, D-39106 Magdeburg, Germany#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110834478","display_name":"J\u00f6rg M. Wills","orcid":null},"institutions":[{"id":"https://openalex.org/I206895457","display_name":"University of Siegen","ror":"https://ror.org/02azyry73","country_code":"DE","type":"education","lineage":["https://openalex.org/I206895457"]},{"id":"https://openalex.org/I2800742272","display_name":"Folkwang University of the Arts","ror":"https://ror.org/03gf02c22","country_code":"DE","type":"education","lineage":["https://openalex.org/I2800742272"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jorg M. Wills","raw_affiliation_strings":["Mathematisches Institut, ENC, Universitat Siegen, D-57068 Siegen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, ENC, Universitat Siegen, D-57068 Siegen, Germany","institution_ids":["https://openalex.org/I2800742272","https://openalex.org/I206895457"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045007454"],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.2822,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.94056196,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"38","issue":"1","first_page":"81","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.9108496904373169},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8294181823730469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8255656361579895},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8030586242675781},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.7429788112640381},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5066469311714172},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4591410160064697},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4416654706001282},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32413220405578613}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9108496904373169},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8294181823730469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8255656361579895},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8030586242675781},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.7429788112640381},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5066469311714172},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4591410160064697},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4416654706001282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32413220405578613},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-007-1330-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1330-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1330-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.237.2367","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.2367","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0606089v1.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00454-007-1330-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1330-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1330-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2123608978.pdf","grobid_xml":"https://content.openalex.org/works/W2123608978.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W116212968","https://openalex.org/W135008847","https://openalex.org/W1527013905","https://openalex.org/W1589700598","https://openalex.org/W1595605524","https://openalex.org/W1604700903","https://openalex.org/W1789739501","https://openalex.org/W1796115931","https://openalex.org/W1981670751","https://openalex.org/W1996589670","https://openalex.org/W2000272149","https://openalex.org/W2007439424","https://openalex.org/W2015438979","https://openalex.org/W2025829456","https://openalex.org/W2027410459","https://openalex.org/W2036854788","https://openalex.org/W2041851364","https://openalex.org/W2049954946","https://openalex.org/W2050266449","https://openalex.org/W2055622362","https://openalex.org/W2058519988","https://openalex.org/W2059237901","https://openalex.org/W2064897100","https://openalex.org/W2068573068","https://openalex.org/W2078651234","https://openalex.org/W2085110259","https://openalex.org/W2106671092","https://openalex.org/W2143808019","https://openalex.org/W2150346305","https://openalex.org/W2157296266","https://openalex.org/W2165868045","https://openalex.org/W2600884084","https://openalex.org/W2739954173","https://openalex.org/W2953037113","https://openalex.org/W2963553657","https://openalex.org/W4206558398","https://openalex.org/W4243550821","https://openalex.org/W6634767069","https://openalex.org/W6697549010","https://openalex.org/W6766281440","https://openalex.org/W6829767646"],"related_works":["https://openalex.org/W2012395617","https://openalex.org/W2988146108","https://openalex.org/W3184306172","https://openalex.org/W2107784188","https://openalex.org/W4295332765","https://openalex.org/W4372320108","https://openalex.org/W2489571958","https://openalex.org/W1845479838","https://openalex.org/W2753535706","https://openalex.org/W2068573068"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}