{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T17:18:48Z","timestamp":1772990328969,"version":"3.50.1"},"reference-count":13,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,4,29]],"date-time":"2025-04-29T00:00:00Z","timestamp":1745884800000},"content-version":"vor","delay-in-days":118,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>\n                    In this paper, we obtain an explicit lower bound for the class number of real quadratic field , where\n                    <jats:italic>D<\/jats:italic>\n                    = 49\n                    <jats:italic>m<\/jats:italic>\n                    <jats:sup>2<\/jats:sup>\n                    + 4\n                    <jats:italic>m<\/jats:italic>\n                    is a square\u2010free positive integer and\n                    <jats:italic>m<\/jats:italic>\n                    \u2261 2 (mod 7) be an odd positive integer. The main tools used are special values of zeta functions for ideal classes of the respective real quadratic fields.\n                  <\/jats:p>","DOI":"10.1155\/ijmm\/8863564","type":"journal-article","created":{"date-parts":[[2025,4,29]],"date-time":"2025-04-29T03:04:53Z","timestamp":1745895893000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Lower Bound for the Class Number of Q49m2+4m"],"prefix":"10.1155","volume":"2025","author":[{"given":"Rahaf","family":"Jihny","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5005-7537","authenticated-orcid":false,"given":"Boushra","family":"Darrag","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4768-0034","authenticated-orcid":false,"given":"Ahmad","family":"Issa","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2025,4,29]]},"reference":[{"key":"e_1_2_7_1_2","first-page":"49","article-title":"Uber Mehrklassige Aber Eingeschlechtige Reell-Quadratische Zahlk Orper","volume":"20","author":"Hasse H.","year":"1965","journal-title":"Elemente der Mathematik"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1017\/s0027763000012939"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314x(70)90010-7"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9939-1986-0826478-x"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2046385"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/9519613"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40316-020-00139-1"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11139-022-00695-w"},{"key":"e_1_2_7_9_2","first-page":"123","article-title":"Uber Eine Gattung Elementar-Arithmetischer Klassen Invarianten Reell-Quadratischer Zahlk Orper","volume":"223","author":"Lang H.","year":"1968","journal-title":"Journal fur Die Reine und Angewandte Mathematical"},{"key":"e_1_2_7_10_2","first-page":"87","article-title":"Berechnung von Zetafunktionen an Ganzzahligen Stellen","volume":"10","author":"Siegel C. 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