{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:28:37Z","timestamp":1760239717369,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2020,12,9]],"date-time":"2020-12-09T00:00:00Z","timestamp":1607472000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771256"],"award-info":[{"award-number":["11771256"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Let f(z) be a holomorphic Hecke eigenform of weight k with respect to SL(2,Z) and let L(s,sym2f)=\u2211n=1\u221ecnn\u2212s,\u211cs&gt;1 denote the symmetric square L-function of f. In this paper, we consider the Riesz mean of the form D\u03c1(x;sym2f)=L(0,sym2f)\u0393(\u03c1+1)x\u03c1+\u0394\u03c1(x;sym2f) and derive the asymptotic formulas for \u222bT\u2212HT+H\u0394\u03c1k(x;sym2f)dx, when k\u22653.<\/jats:p>","DOI":"10.3390\/sym12122036","type":"journal-article","created":{"date-parts":[[2020,12,10]],"date-time":"2020-12-10T22:15:36Z","timestamp":1607638536000},"page":"2036","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Power Moments of the Riesz Mean Error Term of Symmetric Square L-Function in Short Intervals"],"prefix":"10.3390","volume":"12","author":[{"given":"Rui","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue","family":"Han","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deyu","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,12,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/j.jnt.2006.09.010","article-title":"The first moment of the symmetric-square L-function","volume":"124","author":"Khan","year":"2007","journal-title":"J. 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