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Ramanujan 85 θ , ɢ, [PI] Ȣ¢ Ǣ 츢, Ө¢ Ƣ .  áۃ.  [PI] Ǩ Ţ .  [Greek Letter PI] Ȣ.  [PI] [Constant].  1987 [PI] Ǣ 100 Ģ 츢 .  ɡ Ө ¡ áۃ 1915 츢 θ šɨ.  ϸ Өȸ, [Computer Algorithms] â, ġ ɸ θ. 

1917 áۃ 30 ¾, ġ F.R.S. [Fellow of Royal Society] Ţը  Ǣ.  Fellow of Trinity College ȡ. Ţ Ӿ Ӿ ŧ.  ĸ ǡ Ģɡ ǡ [Leonhard Euler], [Karl Jacobi], ⢠¡ ̾ , áۃ!  Ǣ Ţ¢ , áۃ Ȩ Ч Ţš! 

áۃ 1887 ʺ 22 .  á.  , 򾢧.  ¡ н츨¢ .  Ǣ, áۃ ɡ .  ţ " " [Child Prodigy] áۃ.  Ȩ ¾ħ Ţ. ¾ Ţ , áۃ Ǣ ȡ!  Ǣ â [Formulae] , Ţ Ţ á!  [?] [3.14] Ǣ Ǣš Ģ ¢츢ȡ. 

ɢ ¾ "ġɢ¢ âŢ" [Loney's Plane Trigonometry] θ áۃ  .  Ţġ ý , [Sum & Products of Infinite Sequences] Ȣ Ţ Ȣ. Ҹ â .  Ţġ ý Ǣ [Formula] , š .  򦾡á ŧȡ ʧ¡, 츢¡, ý ý¡ Ȣ Ţġ. 

¾, â Ƹ ֿ, [G.S.Carr] " Ǣ Ţ׸Ǣ " [Synopsis of Elementary Results in Pure Mathematics] š, 6000 θ [Theorems] . Ǣ ¢ áۃ .  Ÿ Ҹ ¡ . 

1903 ɡ ¾ ú ⢠áۃ .  ɡ Ȣ 󾾡, Ǣ ġ â Ţ Ţ¡ɡ.  , ռ Ƣ â¢ Ţ Ţ¨. 1909 áۃ , Ģ 츢 Ţ, ¢ 측 ¢ ŨĨ ɡ. 

â R. á á, ۾ Ө ֿ ھ¡ â â, 1910 áۃ Ш¢ â, Ǣ .  1911 áۃ Ӿ ׸, Ţ [Journal of the Indian Mathematical Society] Ǣ£ Ǣ. 

ɢ¡ Ũ Ţ 1912 , áۃ ШӸ [Madras Port Trust] á .  ľ âˉ ﺢɢ, á â.  Ƀ, ب [Indian Mathematical Society] V. áš .  áۃ á, 츨, ġ 츢 âˉ ֿ Ǣ.  Ţ.  ɡ!  , âˉ ҽ, Ҹ G.H. . 

áۃ ¡ ʾ ¢ ¢ 1913 â 16 , 츢 !  ھ ¡Ţ áۃ Ƣ!  ӾĢ ġ Ţ, ؾ¾ ʾ 츢 .  Ţ ڨ¡ , ɢ, Ģ [John E. Littlewood], Ҿ áۃ 120 θ, [Formulae] θ [Theorems] .  Ƣ, š .  ¢ ɾ Ҹ. ¸ɢ ӨȦ ! 

áۃ â . Ƹ [University of Madras], â, âɢ â Ţ .  1914 , ¢ Ǣ, Ţ , áۃ ġ Ȣɡ. 

θ , áۃ âɢ ⢠[Trinity College] ȡ Ш ¢ .  ¢ â Ȣ , áۃ ¡ , Ţ, θ š.  θ [Arithmatic Functions] , á Ţﻡ ׸Ǣ Ǣ¢. Ȣ â [Riemann Series], ح [Elliptivcal Integrals], â [Hyper Geometric Series], Ǣ θ [Fuctional Equations of Zeta Functions], ɢ¡ 츢 Ţâ â [Divergent Series] Ȩ Ȣ 츨.  Ţɡ Ǣ .  , "þ " [Prime Divisors] ġ?  ӨȸǢ , Ȣ "â " [Positive Integers] Ȣ ¡ Ȣġ? 

ţ ɺ쾢 θ [Computers] , áۃ !  ﺢǢĢ , [PI] Ө!  áۃ Ө 츢 Өȸ Ţâ¡, ŢŢ Ţ, [PI] Ǣ ո! 

áۃ Ҹ ¡ "Ȣ Ģ" [Notebooks] . θ ġ ؾ.  Ȣ Ģ "بθ" [Integrals], Ţġ â [Infinite Series], [Continued Fractions] Ȩ Ţ θ.  Ш¢ ¢ ̾ ȢŢ!  â측Ţ Ģɡ Ƹ [University of Illinois] ֿ, [Bruce C. Berndt] á Ȣ Ǣ¢ ǡ. ̾, áۃ ¡ Ш¢ ¡ . 

ɡ Ө áۃ 㢠Ȣ;  áۃ ̾ 100 Ǣ, Ģ 30, 25 Χ!    , Ţ [David Hilbert] ̾ 80!  áۃ θ, Ȣ Ţ׸, Ψ, ¡ š쨸¢ âɢ  Ǣȡ. áۃ [Cauchy Theorem], θ [Doubly Periodic Functions] Ш ȢŢ Ţ !  " " ȡ, !  áۃ Ҹ ¡ ¡ɨ , θ Ȣ Ţ𼾡, иȡ.  ¡ ¡ɨ¡ , ¢ š츢 ¢ ¡, ڸȡ! 

1917 áۃ F.R.S.[Fellow of Royal Society] Ţը, âɢ ⢠ġ [Fellow of Trinity College] Ţը ȡ Ҹƨ. Ӿ ӾĢ ¾ áۃ ŧ!  ɡ , 츢 ¢, á츢 Ũ 츢 Ǣ!  Ӿ ĸ Ţ, ġ š¢, š Ȣ 󾾡, ţ 츢.  áۃ Ȣ [Tuberculosis] ţ⧠츢!  ɧâ [Sanatorium] ¢.  , Ҿ Ҹ Ţ ո ξ ! 

1919 Ţ , Ȣ áۃ ¡ ¢.  32 ¾, ͼ [Icon] áۃ, 1920 26 Ĩ Ţ Ţ ɡ. ̽ â¡ Ţ!  ¢ 츢 ̨ Ţ!  ¢ Ũ Ш ¢ Ǣ򾨾, ھ Ȣ θ.

Ũ , šĢ ¾ , áۃ â ɸ , , Ƹ ը ġ!  Ţ Ȣ Ţ , Ţи ո ġ , , ĸ!  áۃ θ! ĸ! ɡ, Ҹ ¡!
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