{"id":779,"date":"2019-12-21T21:29:19","date_gmt":"2019-12-21T15:59:19","guid":{"rendered":"https:\/\/paperdigit.com\/?p=779"},"modified":"2019-12-21T21:29:19","modified_gmt":"2019-12-21T15:59:19","slug":"%e0%a4%b0%e0%a4%be%e0%a4%b7%e0%a5%8d%e0%a4%9f%e0%a5%8d%e0%a4%b0%e0%a5%80%e0%a4%af-%e0%a4%97%e0%a4%a3%e0%a4%bf%e0%a4%a4-%e0%a4%a6%e0%a4%bf%e0%a4%b5%e0%a4%b8-22-%e0%a4%a6%e0%a4%bf%e0%a4%b8%e0%a4%82","status":"publish","type":"post","link":"https:\/\/paperdigit.com\/?p=779","title":{"rendered":"\u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 22 \u0926\u093f\u0938\u0902\u092c\u0930 \u0915\u094b \u0939\u0940 \u0915\u094d\u092f\u094b\u0902 \u092e\u0928\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u0915\u094b \u092e\u0928\u093e\u0928\u0947 \u0915\u093e 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\u092e\u0947\u0902 \u091f\u0940\u091a\u093f\u0902\u0917-\u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u092e\u0948\u091f\u0947\u0930\u093f\u092f\u0932\u094d\u0938 (TLM) \u0915\u0947 \u0935\u093f\u0915\u093e\u0938, \u0909\u0924\u094d\u092a\u093e\u0926\u0928 \u0914\u0930 \u092a\u094d\u0930\u0938\u093e\u0930 \u092a\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0921\u093e\u0932\u093e \u091c\u093e \u0938\u0915\u0947.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u0915\u093e \u0907\u0924\u093f\u0939\u093e\u0938\u00a0<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">22 \u0926\u093f\u0938\u0902\u092c\u0930 2012 \u0915\u094b \u092d\u093e\u0930\u0924 \u0915\u0947 \u092a\u0942\u0930\u094d\u0935 \u092a\u094d\u0930\u0927\u093e\u0928\u092e\u0902\u0924\u094d\u0930\u0940 \u0921\u0949. \u092e\u0928\u092e\u094b\u0939\u0928 \u0938\u093f\u0902\u0939 \u0928\u0947 \u091a\u0947\u0928\u094d\u0928\u0908 \u092e\u0947\u0902 \u092e\u0939\u093e\u0928 \u0917\u0923\u093f\u0924\u091c\u094d\u091e \u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0905\u092f\u0902\u0917\u0930 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u0940 125\u0935\u0940\u0902 \u0935\u0930\u094d\u0937\u0917\u093e\u0920 \u0915\u0947 \u092e\u094c\u0915\u0947 \u092a\u0930 \u0906\u092f\u094b\u091c\u093f\u0924 \u090f\u0915 \u0915\u093e\u0930\u094d\u092f\u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u094b \u0936\u094d\u0930\u0926\u094d\u0927\u093e\u0902\u091c\u0932\u093f \u0926\u0947\u0924\u0947 \u0939\u0941\u090f \u0935\u0930\u094d\u0937 2012 \u0915\u094b \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u093f\u092f \u0917\u0923\u093f\u0924 \u0935\u0930\u094d\u0937 \u0914\u0930 \u0938\u093e\u0925 \u0939\u0940 \u0909\u0928\u0915\u0947 \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u0915\u094b \u092f\u093e\u0928\u0940 22 \u0926\u093f\u0938\u0902\u092c\u0930 \u0915\u094b \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u093f\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u0918\u094b\u0937\u093f\u0924 \u0915\u093f\u092f\u093e. \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 22 \u0926\u093f\u0938\u0902\u092c\u0930 2012 \u0915\u094b \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u0926\u0947\u0936 \u092d\u0930 \u092e\u0947\u0902 \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u092e\u0928\u093e\u092f\u093e \u0917\u092f\u093e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u093e \u091c\u0928\u094d\u092e 22 \u0926\u093f\u0938\u0902\u092c\u0930 1887 \u0915\u094b \u092e\u0926\u094d\u0930\u093e\u0938 \u0938\u0947 \u0932\u0917\u092d\u0917 400 \u0915\u093f\u0932\u094b\u092e\u0940\u091f\u0930 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\u092e\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, NASI \u0917\u0923\u093f\u0924 \u0914\u0930 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f\u0936\u093e\u0932\u093e \u0915\u093e \u0906\u092f\u094b\u091c\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948. \u0915\u093e\u0930\u094d\u092f\u0936\u093e\u0932\u093e \u092e\u0947\u0902 \u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092d\u0930 \u0938\u0947 \u0917\u0923\u093f\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0924\u093e\u0913\u0902 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937\u091c\u094d\u091e \u092d\u093e\u0917 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902. \u0926\u0947\u0936 \u0914\u0930 \u0935\u093f\u0936\u094d\u0935 \u0938\u094d\u0924\u0930 \u092a\u0930 \u0938\u094d\u092a\u0940\u0915\u0930\u094d\u0938 \u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u0947 \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092f\u094b\u0917\u0926\u093e\u0928 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u092c\u0924\u093e\u0924\u0947 \u0939\u0948\u0902.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u092d\u093e\u0930\u0924 \u0915\u0947 \u0938\u092d\u0940 \u0930\u093e\u091c\u094d\u092f \u0905\u0932\u0917-\u0905\u0932\u0917 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u092e\u0928\u093e\u0924\u0947 \u0939\u0948\u0902. \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e\u0913\u0902 \u0914\u0930 \u0917\u0923\u093f\u0924\u0940\u092f \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0924\u094d\u0924\u0930\u0940 \u0938\u094d\u0915\u0942\u0932, \u0915\u0949\u0932\u0947\u091c \u0914\u0930 \u0935\u093f\u0936\u094d\u0935\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0938\u094d\u0924\u0930 \u092a\u0930 \u0906\u092f\u094b\u091c\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902. \u0917\u0923\u093f\u0924 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092d\u093e \u0914\u0930 \u092d\u093e\u0930\u0924 \u092d\u0930 \u0915\u0947 \u091b\u093e\u0924\u094d\u0930 \u0907\u0928 \u0915\u093e\u0930\u094d\u092f\u0915\u094d\u0930\u092e\u094b\u0902 \u092e\u0947\u0902 \u092d\u093e\u0917 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902 \u0907\u0924\u094d\u092f\u093e\u0926\u093f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0906\u0907\u092f\u0947 \u0905\u092c \u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-media-text alignwide\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" src=\"http:\/\/nobelprizeseries.in\/tbis\/sites\/default\/files\/projects\/s-ramanjuan.jpg\" alt=\"\"\/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-large-font-size wp-block-paragraph\"> SRINIVAS RAMANUJAN<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u092e\u0939\u093e\u0928\u0924\u092e \u0917\u0923\u093f\u0924\u091c\u094d\u091e\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0947 \u0938\u0939\u093e\u092f\u0915 \u0914\u0930 \u092f\u094b\u0917\u0926\u093e\u0928 \u0928\u0947 \u0917\u0923\u093f\u0924 \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u0928\u092f\u093e \u0905\u0930\u094d\u0925 \u0926\u093f\u092f\u093e \u0939\u0948. \u0907\u0938\u0932\u093f\u090f \u0909\u0928\u094d\u0939\u0947\u0902 &#8220;\u0917\u0923\u093f\u0924\u091c\u094d\u091e\u094b\u0902 \u0915\u093e \u0917\u0923\u093f\u0924\u091c\u094d\u091e&#8221; \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948. \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0928\u0947 12 \u0938\u093e\u0932 \u0915\u0940 \u0909\u092e\u094d\u0930 \u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u092e\u0939\u093e\u0930\u0924 \u0939\u093e\u0938\u093f\u0932 \u0915\u0930 \u0932\u0940 \u0925\u0940 \u0914\u0930 \u092c\u093f\u0928\u093e \u0915\u093f\u0938\u0940 \u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0916\u0941\u0926 \u0938\u0947 \u0915\u0908 \u092a\u094d\u0930\u092e\u0947\u092f (Theorems) \u092d\u0940 \u0935\u093f\u0915\u0938\u093f\u0924 \u0915\u093f\u090f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0909\u0928\u0915\u0940 \u0906\u0930\u0902\u092d\u093f\u0915 \u0936\u093f\u0915\u094d\u0937\u093e \u0915\u0941\u092e\u094d\u092d\u0915\u094b\u0923\u092e \u0915\u0947 \u092a\u094d\u0930\u093e\u0907\u092e\u0930\u0940 \u0938\u094d\u0915\u0942\u0932 \u092e\u0947\u0902 \u0939\u0941\u0908 \u0914\u0930 \u092b\u093f\u0930 1898 \u092e\u0947\u0902 \u091f\u093e\u0909\u0928 \u0939\u093e\u0908 \u0938\u094d\u0915\u0942\u0932 \u092e\u0947\u0902 \u090f\u0921\u092e\u093f\u0936\u0928 \u0932\u093f\u092f\u093e \u0914\u0930 \u0938\u092d\u0940 \u0935\u093f\u0937\u092f \u092e\u0947\u0902 \u0905\u091a\u094d\u091b\u0947 \u0905\u0902\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u090f. \u092f\u0939\u0940\u0902 \u092a\u0930 \u0909\u0928\u0915\u094b \u091c\u0940.\u090f\u0938. \u0915\u093e\u0930 \u0915\u0940 \u0932\u093f\u0916\u0940 \u0939\u0941\u0908 \u0917\u0923\u093f\u0924 \u0935\u093f\u0937\u092f \u092e\u0947\u0902 \u092a\u0941\u0938\u094d\u0924\u0915 \u092a\u0922\u093c\u0928\u0947 \u0915\u093e \u0905\u0935\u0938\u0930 \u092e\u093f\u0932\u093e \u0914\u0930 \u0907\u0938\u0938\u0947 \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0939\u094b\u0915\u0930 \u0909\u0928\u0915\u0940 \u0930\u0942\u091a\u093f \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u092c\u0922\u093c\u0928\u0947 \u0932\u0917\u0940. \u0938\u093e\u0925 \u0939\u0940 \u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u0917\u0923\u093f\u0924 \u0935\u093f\u0937\u092f \u092e\u0947\u0902 \u0915\u093e\u092e \u0915\u0930\u0928\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0915\u0930 \u0926\u093f\u092f\u093e.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0909\u0928\u0915\u093e \u092c\u091a\u092a\u0928 \u0915\u093e\u092b\u0940 \u0915\u0920\u093f\u0928\u093e\u0907\u092f\u094b \u092e\u0947\u0902 \u092c\u0940\u0924\u093e. \u0935\u0947 \u0905\u0927\u093f\u0915\u0924\u0930 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0926\u094b\u0938\u094d\u0924\u094b\u0902 \u0938\u0947 \u0915\u093f\u0924\u093e\u092c\u0947\u0902 \u0909\u0927\u093e\u0930 \u0932\u0947\u0915\u0930 \u092a\u0922\u093c\u093e \u0915\u0930\u0924\u0947 \u0925\u0947. \u092f\u0941\u0935\u093e \u0939\u094b\u0928\u0947 \u092a\u0930 \u0918\u0930 \u0915\u0940 \u0906\u0930\u094d\u0925\u093f\u0915 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e\u0913\u0902 \u0915\u0940 \u0905\u092a\u0942\u0930\u094d\u0924\u093f \u0915\u0947 \u0932\u093f\u090f \u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u0915\u094d\u0932\u0930\u094d\u0915 \u0915\u0940 \u0928\u094c\u0915\u0930\u0940 \u0915\u0930 \u0932\u0940 \u0914\u0930 \u0916\u093e\u0932\u0940 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0935\u0947 \u0917\u0923\u093f\u0924 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0932 \u0915\u093f\u092f\u093e \u0915\u0930\u0924\u0947 \u0925\u0947 \u0914\u0930 \u0915\u0908 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 theorems \u092a\u0930 \u0935\u0930\u094d\u0915 \u0915\u0930\u0924\u0947 \u0925\u0947. \u090f\u0915 \u092c\u093e\u0930 \u090f\u0915 \u0905\u0902\u0917\u094d\u0930\u0947\u091c\u093c \u0915\u093f \u0928\u091c\u0930 \u0909\u0928 \u092a\u0928\u094d\u0928\u094b\u0902 \u092a\u0930 \u092a\u0921\u093c \u0917\u0908 \u0914\u0930 \u0909\u0938\u0928\u0947 \u0928\u093f\u091c\u0940 \u0930\u0942\u091a\u0940 \u0932\u0947\u0915\u0930 \u0936\u094d\u0930\u0940\u0928\u093f\u0935\u093e\u0938 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0915\u094b \u0911\u0915\u094d\u0938\u092b\u094b\u0930\u094d\u0921 \u0935\u093f\u0936\u094d\u0935\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u092a\u094d\u0930\u094b. \u0939\u093e\u0930\u094d\u0921\u0940 \u0915\u0947 \u092a\u093e\u0938 \u092d\u0947\u091c\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092c\u0902\u0927 \u0915\u0930 \u0926\u093f\u092f\u093e. \u092a\u094d\u0930\u094b. \u0939\u093e\u0930\u094d\u0921\u0940 \u0928\u0947 \u0909\u0928\u092e\u0947\u0902 \u091b\u093f\u092a\u0940 \u092a\u094d\u0930\u0924\u093f\u092d\u093e \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093e \u091c\u093f\u0938\u0915\u0947 \u092c\u093e\u0926 \u0909\u0928\u0915\u0940 \u0916\u094d\u092f\u093e\u0924\u093f \u0935\u093f\u0936\u094d\u0935 \u092d\u0930 \u092e\u0947\u0902 \u092b\u0948\u0932 \u0917\u0908.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0928\u0947 \u092c\u093f\u0928\u093e \u0915\u093f\u0938\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0939\u091c\u093e\u0930\u094b\u0902 \u0930\u093f\u091c\u0932\u094d\u091f\u094d\u0938, \u091c\u094d\u092f\u093e\u0926\u093e\u0924\u0930 identities \u0914\u0930 equations \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u0915\u0932\u093f\u0924 \u0915\u093f\u090f. \u0915\u0908 \u0930\u093f\u091c\u0932\u094d\u091f\u094d\u0938 \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 original \u0925\u0947 \u091c\u0948\u0938\u0947 \u0915\u093f \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u092a\u094d\u0930\u093e\u0907\u092e, \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0925\u0940\u091f\u093e \u092b\u093c\u0902\u0915\u094d\u0936\u0928, \u0935\u093f\u092d\u093e\u091c\u0928 \u0938\u0942\u0924\u094d\u0930 \u0914\u0930 mock \u0925\u0940\u091f\u093e \u092b\u093c\u0902\u0915\u094d\u0936\u0928. \u0907\u0928 \u0930\u093f\u091c\u0932\u094d\u091f\u094d\u0938 \u0914\u0930 identities \u0928\u0947 \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u0915\u093e\u092e \u0915\u0947 \u0928\u090f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0916\u094b\u0932 \u0926\u093f\u090f \u0914\u0930 \u0906\u0917\u0947 \u0930\u093f\u0938\u0930\u094d\u091a \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0915\u093f\u092f\u093e. \u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 divergent series \u092a\u0930 \u0905\u092a\u0928\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u094b \u092c\u0928\u093e\u092f\u093e. \u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u0930\u0940\u092e\u0948\u0928 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e (Riemann series), the elliptic integrals, \u0939\u093e\u0907\u092a\u0930\u091c\u094b\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e (hypergeometric series) \u0914\u0930 \u091c\u0947\u091f\u093e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u0947 \u0915\u093e\u0930\u094d\u092f\u093e\u0924\u094d\u092e\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u092a\u0930 \u0915\u093e\u092e \u0915\u093f\u092f\u093e. 1729 \u0928\u0902\u092c\u0930 \u0939\u093e\u0930\u094d\u0921\u0940-\u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 (Hardy-Ramanujan) \u0928\u0902\u092c\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092d\u0940 \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 \u0939\u0948.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0915\u093e\u092b\u0940 \u092a\u0930\u093f\u0936\u094d\u0930\u092e \u0915\u0947 \u0915\u093e\u0930\u0923 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u092c\u0940\u092e\u093e\u0930 \u0930\u0939\u0928\u0947 \u0932\u0917\u0947 \u0925\u0947 \u0914\u0930 \u092e\u093e\u0924\u094d\u0930 32 \u0938\u093e\u0932 \u0915\u0940 \u0909\u092e\u094d\u0930 \u092e\u0947\u0902 \u0909\u0928\u0915\u093e \u0928\u093f\u0927\u0928 \u0939\u094b \u0917\u092f\u093e. \u0909\u0928\u0915\u0947 \u0928\u093f\u0927\u0928 \u0915\u0947 \u092c\u093e\u0926 \u0909\u0928\u0915\u0940 \u0915\u0908 \u092a\u094d\u0930\u092e\u0947\u092f\u094b\u0902 (Theorems) \u0915\u094b \u091b\u092a\u0935\u093e\u092f\u093e \u0917\u092f\u093e \u0914\u0930 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u0908 \u0910\u0938\u0940 Theorems \u092d\u0940 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u094b\u0902 \u0915\u0908 \u0926\u0936\u0915 \u0924\u0915 \u0938\u0941\u0932\u091d\u093e\u092f\u093e \u092d\u0940 \u0928\u0939\u0940\u0902 \u091c\u093e \u0938\u0915\u093e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0907\u0938\u092e\u0947\u0902 \u0915\u094b\u0908 \u0938\u0902\u0926\u0947\u0939 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u0940 \u0930\u093e\u092e\u093e\u0928\u0941\u091c\u0928 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f \u0917\u0908 \u0917\u0923\u093f\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0916\u094b\u091c \u0906\u0927\u0941\u0928\u093f\u0915 \u0917\u0923\u093f\u0924 \u0914\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u093f \u0906\u0927\u093e\u0930\u0936\u093f\u0932\u093e \u092c\u0928\u0940. \u092f\u0939\u093e\u0902 \u0924\u0915 \u0915\u0940 \u0909\u0928\u0915\u093e \u0938\u0902\u0916\u094d\u092f\u093e-\u0938\u093f\u0926\u094d\u0927\u093e\u0928\u094d\u0924 \u092a\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u0940 \u0909\u0928\u094d\u0939\u0947\u0902 &#8216;\u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u091c\u093e\u0926\u0942\u0917\u0930&#8217; \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">5 \u0910\u0938\u0947 \u0924\u0925\u094d\u092f \u091c\u094b \u0906\u092a \u0917\u0923\u093f\u0924\u0940\u092f \u091a\u093f\u0928\u094d\u0939 \u0905\u0928\u0928\u094d\u0924 (\u221e) \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0917\u0923\u093f\u0924 \u0926\u093f\u0935\u0938 \u0915\u094b \u092e\u0928\u093e\u0928\u0947 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f \u0932\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0917\u0923\u093f\u0924 \u0915\u0947 \u092e\u0939\u0924\u094d\u0935 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u091c\u093e\u0917\u0930\u0942\u0915\u0924\u093e \u092c\u0922\u093c\u093e\u0928\u093e \u0939\u0948. \u0939\u092e \u0907\u0938 \u092c\u093e\u0924 \u0915\u094b \u0928\u091c\u0930\u0905\u0902\u0926\u093e\u091c \u0928\u0939\u0940\u0902 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0926\u0947\u0936 \u0915\u0940 \u092f\u0941\u0935\u093e \u092a\u0940\u0922\u093c\u0940 \u0915\u0947 \u092c\u0940\u091a \u0917\u0923\u093f\u0924 \u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u094b \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0915\u0930\u0928\u0947, \u0909\u0924\u094d\u0938\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u0914\u0930 \u0935\u093f\u0915\u0938\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u0908 \u092a\u0939\u0932 \u0915\u0940 \u091c\u093e\u0924\u0940 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_angie_page":false,"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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