{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:31:04Z","timestamp":1771677064133,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,1,30]],"date-time":"2020-01-30T00:00:00Z","timestamp":1580342400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Tishreen University"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2020,1,30]]},"abstract":"<jats:p>In this paper, we give an explicit lower bound for the class number of real quadratic field <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u211a<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:msqrt><mml:mi>d<\/mml:mi><\/mml:msqrt><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>, where <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>d<\/mml:mi><mml:mo>=<\/mml:mo><mml:msup><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:math> is a square-free integer, using <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mtext>\u2009<\/mml:mtext><mml:mi>\u03c9<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> which is the number of odd prime divisors of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi>n<\/mml:mi><\/mml:math>.<\/jats:p>","DOI":"10.1155\/2020\/9519613","type":"journal-article","created":{"date-parts":[[2020,1,30]],"date-time":"2020-01-30T18:32:19Z","timestamp":1580409139000},"page":"1-4","source":"Crossref","is-referenced-by-count":5,"title":["Lower Bound for the Class Number of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u211a<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:msqrt><mml:mrow><mml:msup><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msqrt><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>"],"prefix":"10.1155","volume":"2020","author":[{"given":"Hasan","family":"Sankari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Tishreen University, Lattakia, 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