三九養(yǎng)生堂記者 鄧肯·蓋伊 報(bào)道
精彩| 1964 年??(nian)??，25歲??(sui)的??(de)楊??(yang)樂??(le)開??(kai)始??(shi)與??(yu)張??(zhang)廣??(guang)厚??(hou)合??(he)作??(zuo)研?(yan)究??(jiu)全??(quan)純??(chun)與?(yu)亞??(ya)純?(chun)函??(han)數(shù)??(shu)族??(zu)??，并??(bing)獲??(huo)得??(de)了??(le)很??(hen)好??(hao)的??(de)成??(cheng)果??(guo)??，用??(yong)法??(fa)語??(yu)寫??(xie)成??(cheng)的??(de)學(xué)??(xue)術(shù)??(shu)論??(lun)文??(wen)于??(yu)次?(ci)年??(nian)發(fā)??(fa)表??(biao)在??(zai)《中??(zhong)國?(guo)科??(ke)學(xué)??(xue)》期??(qi)刊?(kan)上??(shang)??。?這??(zhe)項(xiàng)??(xiang)研??(yan)究??(jiu)成??(cheng)果??(guo)??，恰??(qia)好??(hao)解??(jie)決??(jue)了??(le)英??(ying)國??(guo)著??(zhu)名??(ming)數(shù)??(shu)學(xué)??(xue)家?(jia)海??(hai)曼??(man)于??(yu)同??(tong)年??(nian)一??(yi)次??(ci)國??(guo)際??(ji)數(shù)??(shu)學(xué)??(xue)會(huì)??(hui)議??(yi)中??(zhong)提?(ti)出??(chu)的??(de)《函?(han)數(shù)??(shu)論??(lun)研??(yan)究??(jiu)中??(zhong)的?(de)若??(ruo)干??(gan)問??(wen)題??(ti)》中??(zhong)的??(de)一??(yi)個(gè)??(ge)??，并??(bing)引??(yin)起??(qi)了??(le)國??(guo)際??(ji)同??(tong)行??(xing)的??(de)重??(zhong)視??(shi)???！暗??(dan)遺??(yi)憾??(han)的??(de)是??(shi)??，由??(you)于??(yu)當(dāng)??(dang)時(shí)??(shi)我??(wo)國??(guo)與??(yu)國??(guo)際??(ji)科??(ke)技??(ji)交??(jiao)流??(liu)渠??(qu)道??(dao)的??(de)匱?(kui)乏?(fa)??，我??(wo)們??(men)到??(dao)很??(hen)多??(duo)年??(nian)以??(yi)后??(hou)才??(cai)知??(zhi)道??(dao)海??(hai)曼??(man)所??(suo)提?(ti)的??(de)問??(wen)題??(ti)???！薄 ?jù)??(ju)中??(zhong)國??(guo)科??(ke)學(xué)??(xue)院??(yuan)數(shù)??(shu)學(xué)??(xue)與??(yu)系??(xi)統(tǒng)??(tong)科??(ke)學(xué)??(xue)研??(yan)究??(jiu)院??(yuan)官??(guan)網(wǎng)??(wang)信??(xin)息??(xi)??，30多??(duo)年??(nian)來??(lai)??，楊??(yang)樂??(le)在?(zai)函??(han)數(shù)??(shu)值??(zhi)分??(fen)布??(bu)論??(lun)、幅??(fu)角??(jiao)分??(fen)布?(bu)論??(lun)、正??(zheng)規(guī)??(gui)族??(zu)等??(deng)方??(fang)面??(mian)取??(qu)得??(de)了??(le)一??(yi)系??(xi)列??(lie)的??(de)重??(zhong)要??(yao)研??(yan)究??(jiu)成?(cheng)果?(guo)：1.在??(zai)亞??(ya)純??(chun)函??(han)數(shù)??(shu)與?(yu)其??(qi)導(dǎo)?(dao)數(shù)??(shu)的??(de)總??(zong)虧??(kui)量??(liang)方??(fang)面??(mian)獲??(huo)得??(de)了?(le)精??(jing)確??(que)結(jié)??(jie)果??(guo)??，回??(hui)答??(da)了??(le)著??(zhu)名??(ming)專??(zhuan)家??(jia)D.Drasin 提??(ti)出??(chu)的??(de)三?(san)個(gè)??(ge)問??(wen)題??(ti)??，首??(shou)先??(xian)揭??(jie)示??(shi)了??(le)虧??(kui)函??(han)數(shù)??(shu)的??(de)可??(ke)數(shù)??(shu)性??(xing)；2.在??(zai)函??(han)數(shù)??(shu)正??(zheng)規(guī)??(gui)族??(zu)理??(li)論??(lun)中??(zhong)??，研??(yan)究??(jiu)了??(le)不??(bu)動(dòng)?(dong)點(diǎn)??(dian)、微??(wei)分??(fen)多??(duo)項(xiàng)??(xiang)式??(shi)的??(de)取??(qu)值??(zhi)與??(yu)正??(zheng)規(guī)??(gui)性??(xing)的??(de)關(guān)??(guan)系??(xi)；3.他??(ta)與??(yu)張??(zhang)廣??(guang)厚??(hou)首??(shou)次??(ci)揭??(jie)示??(shi)了??(le)整??(zheng)函??(han)數(shù)??(shu)與??(yu)亞??(ya)純??(chun)函??(han)數(shù)??(shu)的?(de)虧??(kui)值?(zhi)數(shù)??(shu)目??(mu)與祝(yu)奇??(qi)異??(yi)方??(fang)向??(xiang)數(shù)??(shu)目??(mu)間??(jian)的??(de)緊??(jin)密??(mi)聯(lián)??(lian)系??(xi)??，給??(gei)出??(chu)了??(le)最??(zui)佳??(jia)估?(gu)計(jì)??(ji)；4.獲??(huo)得?(de)了?(le)亞??(ya)純??(chun)函?(han)數(shù)??(shu)波??(bo)萊??(lai)爾??(er)(Borel)方??(fang)向??(xiang)的??(de)分??(fen)布?(bu)規(guī)??(gui)律??(lv)??，對(duì)??(dui)奇??(qi)異??(yi)方??(fang)向??(xiang)在??(zai)涉??(she)及??(ji)導(dǎo)??(dao)數(shù)??(shu)與??(yu)重??(zhong)值??(zhi)時(shí)??(shi)作??(zuo)了??(le)深??(shen)入??(ru)研??(yan)究??(jiu)??。??他?(ta)還??(hai)和??(he)英?(ying)國??(guo)海??(hai)曼??(man)(W. K. Hayman )教??(jiao)授??(shou)合??(he)作?(zuo)研??(yan)究??(jiu)了?(le)著??(zhu)名??(ming)數(shù)??(shu)學(xué)??(xue)家??(jia)立??(li)特??(te)沃?(wo)德??(de)(Littlewood)的??(de)一??(yi)個(gè)??(ge)猜??(cai)想??(xiang)??。他??(ta)獲??(huo)得??(de)了??(le)亞??(ya)純??(chun)函??(han)數(shù)??(shu)在??(zai)涉??(she)及?(ji)重??(zhong)值??(zhi)時(shí)??(shi)普?(pu)遍??(bian)與??(yu)精??(jing)確??(que)的??(de)虧??(kui)量??(liang)關(guān)??(guan)系??(xi)??。
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