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VEYL-VINOGRADOV TЕORЕMASI VA UNING BA'ZI TADBIQLARI HAQIDA

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MUNDARIJA KIRISH 3 Mavzuning o’rganilganlik darajasi va dolzarbligi;Ishning maqsadi va asosiy natijalari.ASOSIY QISM............................................................................................... 11 BOB. ASOSIY TUSHUNCHALAR VA YORDAMCHIMATЕRIALLAR............................................................................. 11 I.1§. Birinchi darajali trigonometrik yig’indilar va ularning tadbiqlari....... 11 I.2§. Ikkinchi darajali trigonometrik yig’indilar va ularning tadbiqlari....... 16 I.3 §. G.Veylyig’indilari va ularnibaholash................................................ 29 BOB.TUB SONLAR BO’YICHAOLINGAN TRIGONOMETRIKYIG’INDILAR VA ULARNING TADBIQLARI.............................. 34 §. Tub sonlar bo’yicha olingan birinchi darajali trigonometrik yig’indilarni baholash............................................................................................... 34§. Arifmetik progressiyadan olingan tub sonlarning kvadratlari bo’yicha olingan trigonometrik yig’indilarni baholash...................................................... 40§. Arifmetik progressiyadan olingan tub qatnashgan {𝑎𝒑𝟐} ketma-ketlik kasr qismlarining taqsimoti haqida............................................................. 51BOB. VEYL-VINOGRADOVNING TRIGONOMETRIK YIG’INDILAR UCHUN BAHOSI VA UNING VARING PROLEMASIGA TADBIQI HAQIDA..................................................................... 61§. Arifmetik progressiyadan olingan tub argumentli ko’phadlarning qiymatlari olingan trigonometrik yig’indilarni baholash....................................... 61§. Arifmetik progressiyadan olingan tub argumentli {𝒇(𝒑)} ketma-ketlik kasr qismlarining taqsimoti haqida............................................................. 75§. Veyl-Vinogradovning trigonometrikyig’indilar uchun bahosini umumlashtirish.................................................................................. 84XULOSA........................................................................................................ 92 FOYDALANILGAN ADABIYOTLAR RO’YXATI...................................... 93

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