[分析] 證明有無限多組有理數解

[demonhell (DH)]

Let β be any real number.

(1) Prove that there are infinitely many rational numbers p/q

    satisfying


　　　　　│ p       │    1
　　　　　│── - β│ ≦ ─
　　　　　│ q       │    2q


(2) Prove that there are infinitely many rational numbers p/q

    satisfying


　　　　　│ p       │    1
　　　　　│── - β│ ≦ ─
　　　　　│ q       │    q^2



完全不知道該怎麼下手

希望能給點想法

先謝了!!



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Tom M.ApostolMEASUREJoseph H.SilvermanThomas W.HungerfordSerge LangTOPICS IN
Modular FunctionANDJohn TateAlgebraAlgebraic NumberALGEBRAREPRESENTATIONS AND
and Dirichlet SeriesINTEGRALRational PointTheoryI.N.HERSTEINCHARACTERS OF
in Number TheoryRichard L.Wheedenon Elliptic CurveFINITE GROUPSDemon N.C.T.U.
Antoni Zygumund http://www.wretch.cc/blog/demonhell YIFAN YANG       A.M.G.97

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