ꯑꯂꯦꯛꯁꯩ ꯄꯥꯔꯁꯤꯟ

ꯑꯂꯦꯛꯁꯩ ꯅꯤꯀꯣꯂꯏꯚꯤꯁ ꯄꯥꯔꯁꯤꯟ (ꯔꯁꯤꯌꯥꯟ: Алексей Николаевич Паршин; ꯱꯹꯴꯲ ꯅꯣꯚꯦꯝꯕꯔ ꯷ – ꯲꯰꯲꯲ ꯖꯨꯟ ꯱꯸ ) ꯑꯁꯤ ꯔꯁꯤꯌꯥꯟꯒꯤ ꯆꯩꯁꯤꯡꯂꯣꯟ ꯅꯩꯅꯕ, ꯖꯤꯑꯣꯃꯦꯇ꯭ꯔꯤꯗ ꯍꯩꯁꯤꯡꯕ ꯃꯤꯑꯣꯢ ꯱ ꯑꯣꯏꯔꯝꯃꯤ ꯫ ꯃꯣꯔꯗꯦꯜ ꯀꯟꯖꯦꯛꯇꯔ ꯎꯠꯇꯨꯅ ꯇꯥꯛꯂꯝꯕꯒꯤꯗꯃꯛ ꯃꯤꯌꯥꯝꯅ ꯊꯣꯏꯗꯣꯛ ꯍꯦꯟꯗꯣꯛꯅ ꯈꯪꯅꯩ ꯫

 ꯃꯍꯩ-ꯃꯁꯤꯡ ꯇꯝꯕ ꯑꯃꯁꯨꯡ ꯁꯤꯟꯐꯝꯒꯤ ꯑꯣꯏꯕ ꯊꯕꯛꯁꯤꯡ 
ꯄꯥꯔꯁꯤꯟꯅ ꯏꯪ ꯱꯹꯵꯹ ꯗ ꯃꯣꯁꯀꯣ ꯁ꯭ꯇꯦꯠ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯒꯤ ꯐꯤꯀ꯭ꯂꯥꯇꯤ ꯑꯣꯐ ꯃꯦꯊꯃꯦꯇꯤꯛꯁ ꯑꯃꯁꯨꯡ ꯃꯦꯀꯥꯅꯤꯛꯁꯇ ꯆꯪꯈꯤ ꯑꯃꯁꯨꯡ ꯏꯪ ꯱꯹꯶꯴ꯗ ꯒ꯭ꯔꯦꯖꯨꯑꯦꯠ ꯇꯧꯈꯤ ꯫ ꯃꯗꯨꯒꯤ ꯃꯇꯨꯡꯗ ꯃꯍꯥꯛꯅ ꯁ꯭ꯇꯦꯀ꯭ꯂꯣꯚ ꯀꯟꯗ ꯫  ꯏꯟꯇꯤꯇꯌꯨꯠ ꯑꯣꯐ ꯃꯦꯊꯃꯦꯇꯤꯛꯁꯇ ꯒ꯭ꯔꯦꯖꯨꯑꯦꯠ ꯃꯍꯩꯔꯣꯏ ꯑꯃ ꯑꯣꯏꯅ ꯃꯤꯡ ꯆꯟꯕ ꯍꯧꯈꯤ, ꯃꯐꯝ ꯑꯗꯨꯗ ꯃꯍꯥꯛꯅ ꯃꯍꯥꯛꯀꯤ ꯀꯥꯟꯗ ꯐꯪꯈꯤ ꯫ ꯅꯧꯛ (ꯄꯤ. ꯑꯩꯆ. ꯗꯤ.) ꯱꯹꯶꯸ ꯗ ꯏꯒꯣꯔ ꯁꯥꯐꯔꯦꯚꯤꯆ ꯃꯈꯥꯗ ꯫ ꯏꯪ ꯱꯹꯸꯳ ꯗ ꯃꯍꯥꯛꯅ ꯃꯣꯁꯀꯣ ꯁ꯭ꯇꯦꯠ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗꯒꯤ ꯃꯍꯥꯛꯀꯤ ꯗꯣꯛꯇꯔ ꯅꯧꯛ (ꯗꯣꯀꯣꯔꯦꯠ ꯑꯣꯐ ꯁꯥꯏꯟꯁꯁ) ꯐꯪꯈꯤ ꯫

ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯱꯹꯶꯸ ꯇ ꯃꯣꯁꯀꯣꯗ ꯂꯩꯕ ꯁ꯭ꯇꯦꯛꯂꯣꯚ ꯏꯟꯁꯇꯤꯇ꯭ꯌꯨꯠ ꯑꯣꯐ ꯃꯦꯊꯃꯦꯇꯤꯛꯁꯇ ꯖꯨꯅꯤꯌꯔ ꯔꯤꯁꯔꯆ ꯐꯦꯂꯣ ꯑꯃ ꯑꯣꯏꯈꯤ, ꯃꯇꯨꯡꯗ ꯁꯦꯅꯤꯌꯔ ꯑꯃꯁꯨꯡ ꯃꯥꯡꯖꯤꯜ ꯊꯥꯔꯤꯕ ꯔꯤꯁꯔꯆ ꯐ꯭ꯂꯦꯂꯣ ꯑꯃ ꯑꯣꯏꯈꯤ ꯫ ꯃꯍꯥꯛ ꯏꯪ ꯱꯹꯹꯵ꯇ ꯃꯁꯤꯒꯤ ꯗꯤꯄꯥꯔ꯭ꯠꯃꯦꯟꯇ ꯑꯣꯐ ꯑꯦꯜꯖꯤꯕ꯭ꯔꯥꯒꯤ ꯃꯀꯣꯛ ꯑꯣꯏꯈꯤ ꯫ ꯃꯍꯥꯛꯅ ꯃꯣꯁꯀꯣ ꯁ꯭ꯇꯦꯠ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗꯁꯨ ꯇꯝꯈꯤ ꯫

 ꯊꯤꯖꯤꯟ-ꯍꯨꯝꯖꯤꯟꯕꯒꯤ ꯊꯕꯛ 
ꯃꯍꯥꯛꯀꯤ ꯱꯹꯶꯸ ꯒꯤ ꯊꯤꯁꯤꯁꯇ, ꯄꯥꯔꯁꯤꯟꯅ ꯄ꯭ꯔꯃꯥꯟ ꯇꯧꯈꯤ ꯃꯗꯨꯗꯤ ꯃꯣꯔꯗꯦꯜꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯁꯤ ꯁꯤꯒꯦꯜ ꯃꯣꯗ꯭ꯌꯨꯂꯔ ꯃꯈꯜꯗ ꯑꯖꯤꯕ꯭ꯔꯥꯏꯛ ꯀꯔꯕ ꯑꯃ ꯍꯥꯞꯇꯨꯅ ꯄꯤꯔꯤꯕ ꯄꯥꯔꯁꯤꯟꯒꯤ ꯇ꯭ꯔꯤꯛ ꯍꯥꯏꯅ ꯈꯪꯅꯕ ꯑꯁꯤꯒꯤ ꯈꯨꯠꯊꯥꯡꯗ ꯑꯦꯕꯦꯂꯤꯌꯟ ꯃꯈꯜꯁꯤꯡ ꯑꯥꯏꯁꯣꯃꯣꯔꯐꯤꯖꯝ ꯀ꯭ꯂꯥꯁꯁꯤꯡꯒꯤ ꯃꯇꯥꯡꯗ ꯁꯥꯐꯔꯦꯚꯤꯆꯀꯤ ꯐꯥꯏꯅꯤꯇꯤꯅꯦꯁꯀꯤ ꯋꯥꯈꯜꯂꯣꯟꯒꯤ ꯃꯔꯝ ꯑꯣꯏꯕ ꯃꯍꯩ ꯑꯃꯅꯤ ꯫ ꯁꯥꯐꯔꯦꯚꯤꯆꯅ ꯖꯤ ꯖꯤ = 1ꯒ ꯂꯣꯏꯅꯅ ꯀꯦꯁ ꯑꯁꯤꯒꯤꯗꯃꯛꯇ ꯃꯍꯥꯛꯀꯤ ꯑꯔꯣꯏꯕ ꯑꯣꯏꯕꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯗꯨ ꯎꯠꯈꯤ ꯫   ꯄꯥꯔꯁꯤꯟꯅ ꯑꯀꯛꯅꯕ ꯀꯦꯁ ꯑꯃ ꯎꯠꯈꯤ (ꯐꯣꯔ ꯑꯦꯁ = ꯃꯈꯥꯗ ꯄꯤꯔꯤꯕ ꯊꯤꯑꯣꯔꯦꯝ ꯑꯁꯤꯒꯤ ꯑꯝꯇꯤ ꯁꯦꯠ): ꯀꯔꯤꯒꯨꯝꯕ ꯕꯤ ꯑꯁꯤ ꯁꯃꯨꯗ ꯀꯝꯄ꯭ꯂꯦꯛꯁ ꯀ꯭ꯔꯕ ꯑꯃ ꯑꯣꯏꯔꯕꯗꯤ ꯑꯃꯁꯨꯡ ꯑꯦꯁ ꯑꯁꯤ ꯕꯤ ꯒꯤ ꯐꯥꯏꯅꯥꯏꯠ ꯁꯕꯁꯦꯠ ꯑꯃ ꯑꯣꯏꯔꯕꯗꯤ, ꯃꯇꯝ ꯈꯔꯒꯤ ꯑꯣꯏꯅ ꯏꯃꯨꯡ ꯀꯌꯥ ꯑꯃꯈꯛꯇꯃꯛ ꯂꯩ (ꯑꯥꯏꯁꯣꯃꯣꯔꯐꯤꯖꯝꯗ) ꯒ ꯭ ≥2 ꯑꯣꯚꯔ ꯕꯤ\ ꯑꯦꯁ ꯒꯤ ꯁ ꯭ ꯃꯨꯠ ꯀꯔꯕꯁꯤꯡꯒꯤ ꯃꯅꯨꯡꯗ ꯂꯩ ꯫ ꯖꯦꯅꯔꯦꯜ ꯀꯦꯁ (ꯃꯃꯥꯡꯗ ꯆꯠꯅꯔꯝꯕ ꯊꯤꯑꯣꯔꯦꯝ ꯑꯗꯨꯒꯤ ꯅꯟ-ꯑꯦꯝꯞꯇꯤ ꯁ ꯭ ′′ ꯒꯤꯗꯃꯛ) ꯑꯁꯤ ꯁꯨꯔꯦꯟ ꯑꯔꯥꯀꯦꯂꯣꯚ ꯏꯪ 1971ꯗ ꯄ ꯭ ꯔꯃꯥꯟ ꯇꯧꯈꯤ ꯫ < id="mwZA" typeof="mw:Entity">  ꯃꯇꯝ ꯑꯗꯨꯃꯛꯇꯗ, ꯄꯥꯔꯁꯤꯟꯅ ꯑꯅꯧꯕ ꯄ꯭ꯔꯣꯐ ꯑꯃꯥ ꯄꯤꯈꯤ (ꯐꯡꯁꯟ ꯐꯤꯜꯗꯁꯤꯡꯗ ꯃꯣꯔꯗꯦꯜ ꯀꯟꯖꯦꯛꯆꯔꯒꯤ ꯁꯥꯐꯔꯦꯚꯤꯆ ꯐꯥꯏꯅꯤꯇꯤꯅꯦꯁꯀꯤ ꯐꯤꯚꯝ ꯁꯤꯖꯤꯟꯅꯗꯅ) (ꯍꯥꯟꯅꯅ ꯱꯹꯶꯳ ꯗ ꯌꯨꯔꯤ ꯃꯥꯅꯤꯟ ꯑꯃꯁꯨꯡ ꯱꯹꯶꯵ ꯗ ꯍꯥꯟꯁ ꯒ꯭ꯔꯥꯎꯔꯠ ꯈꯨꯗꯝ ꯎꯠꯈꯤ) ꯫ ꯏꯪ ꯱꯹꯸꯳ꯗ ꯒ꯭ꯔꯗ ꯐꯦꯂꯤꯡꯁꯅ ꯊꯧꯔꯝ ꯑꯗꯨ ꯂꯣꯏꯁꯤꯟꯈꯤ ꯑꯃꯁꯨꯡ ꯁꯥꯐꯔꯦꯚꯤꯆꯀꯤ ꯑꯔꯣꯏꯕ ꯑꯣꯏꯕꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯗꯨ ꯎꯠꯈꯤ, ꯃꯁꯤꯅ ꯃꯣꯔꯗꯦꯜꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯗꯨ ꯄꯠꯈꯤ ꯫

ꯃꯍꯥꯛꯀꯤ ꯑꯇꯣꯞꯄ ꯊꯤꯖꯟ ꯍꯨꯝꯖꯟꯕꯁꯤꯡ ꯑꯁꯤꯅ ꯑꯋꯥꯡꯕ ꯊꯥꯛꯁꯤꯡꯗ ꯀ꯭ꯂꯥꯁ ꯐꯤꯜꯗ ꯊꯤꯑꯣꯔꯤ ꯃꯤꯌꯥꯝꯒꯤ ꯑꯣꯏꯕ ꯃꯑꯣꯡꯁꯤꯡ, ꯄꯨꯟꯁꯤꯟꯕ ꯌꯥꯕ ꯁꯤꯁ꯭ꯇꯦꯝꯁꯤꯡꯒ ꯂꯣꯏꯅꯅ, ꯑꯃꯁꯨꯡ ꯑꯡꯀꯒꯤ ꯄꯨꯋꯥꯔꯤꯒ ꯃꯔꯤ ꯂꯩꯅꯩ ꯫Vostokov, Sergei V.; Gorchinskiy, Sergey O.; Zheglov, Alexander B.; Zarkhin, Yurii G.; Nesterenko, Yuri V.; Orlov, Dmitri O.; Osipov, Denis V.; Popov, Vladimir L.; Sergeev, Armen G.; Shafarevich, Igor R. (2013). "Aleksei Nikolaevich Parshin (on his 70th birthday)". Russian Mathematical Surveys. 68 (1): 189–197. Bibcode:2013RuMaS..68..189V. doi:10.1070/RM2013v068n01ABEH004827. S2CID 123001679.

ꯃꯍꯥꯛ ꯗꯦꯕꯤꯗ ꯍꯤꯜꯕꯔꯠ ꯈꯣꯝꯖꯤꯜꯂꯕ ꯊꯕꯛꯁꯤꯡꯒꯤ ꯔꯁꯤꯌꯥꯒꯤ ꯏꯗꯤꯁꯟꯒꯤ ꯑꯦꯗꯤꯇꯔ ꯑꯃꯥ ꯑꯣꯏꯈꯤ ꯑꯃꯁꯨꯡ ꯚꯤ. ꯑꯥꯏ. ꯑꯥꯔꯅꯣꯜꯒ ꯂꯣꯏꯅꯅ ꯍꯔꯃꯟ ꯋꯦꯜ ꯈꯟꯒꯠꯂꯕ ꯊꯕꯛꯁꯤꯡꯒꯤ ꯀꯣ-ꯑꯦꯗꯤꯇꯔ ꯑꯃ ꯑꯣꯏꯈꯤ ꯫

 ꯂꯅꯥꯏꯒꯤ ꯄꯨꯟꯁꯤ 
ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯏꯪ ꯱꯹꯴꯲ ꯒꯤ ꯅꯕꯦꯝꯕꯔ ꯷ ꯗ ꯁꯚꯔꯗꯂꯣꯚꯁꯛ ꯗ ꯄꯣꯛꯈꯤ ꯑꯃꯁꯨꯡ ꯏꯪ ꯲꯰꯲꯲ ꯒꯤ ꯖꯨꯟ ꯱꯸ ꯗ ꯂꯩꯈꯤꯗꯦ ꯫

ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯔꯁꯤꯌꯥꯒꯤ ꯐꯤꯂꯣꯁꯣꯐ ꯑꯂꯦꯀꯁꯤ ꯂꯣꯁꯦꯚ ꯃꯇꯝ ꯀꯌꯥꯒꯤ ꯃꯔꯨꯞ ꯑꯣꯏꯔꯝꯃꯤ ꯑꯃꯁꯨꯡ ꯃꯣꯁꯀꯣꯒꯤ ꯗꯣꯝ ꯂꯣꯁꯦꯚ ꯂꯥꯏꯕ꯭ꯔꯦꯔꯤꯗ ꯔꯁꯤꯌꯥꯟ ꯐꯤꯂꯣꯁꯣꯐꯤꯒꯤ ꯁꯦꯃꯤꯅꯥꯔ ꯍꯧꯈꯤ ꯫ ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯑꯣꯔꯊꯣꯗꯣꯛꯁ ꯈ꯭ꯔꯤꯁꯇ꯭ꯌꯥꯟ ꯑꯣꯏꯔꯝꯃꯤ ꯑꯃꯁꯨꯡ ꯔꯁꯤꯌꯥꯒꯤ ꯙꯔꯃꯒꯤ ꯑꯣꯏꯕ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯃꯁꯨꯡ ꯑꯅꯧꯕ ꯃꯇꯝꯒꯤ ꯁꯥꯏꯟ꯭ꯁꯁꯤꯡꯒꯤ ꯃꯔꯛꯇ ꯂꯩꯕ ꯃꯔꯤꯒꯤ ꯃꯇꯥꯡꯗ ꯏꯔꯝꯃꯤ ꯫

 ꯃꯅꯥꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯏꯀꯥꯏꯈꯨꯝꯅꯕꯁꯤꯡ 
ꯏꯪ ꯱꯹꯷꯱ ꯗ ꯄꯥꯔꯁꯤꯟꯅ ꯃꯣꯁꯀꯣ ꯃꯦꯊꯦꯇꯤꯀꯦꯜ ꯁꯣꯁꯥꯏꯇꯤ ꯃꯅꯥ ꯑꯁꯤ ꯅꯍꯥ ꯑꯣꯏꯔꯤꯕ ꯃꯥꯊꯦꯇꯤꯁꯤꯌꯟꯁꯤꯡꯒꯤꯗꯃꯛ ꯐꯪꯈꯤ ꯫ ꯃꯍꯥꯛꯄꯨ ꯏꯪ ꯱꯹꯹꯶ꯇ ꯍꯝꯕꯣꯜꯠ ꯄ꯭ꯔꯥꯏꯖ ꯄꯤꯈꯤ ꯫ ꯃꯍꯥꯛꯅ ꯏꯪ ꯲꯰꯰꯴ꯗ ꯕꯤꯅꯣꯒ꯭ꯔꯥꯗꯣꯕ ꯄ꯭ꯔꯥꯏꯖ ꯑꯃꯁꯨꯡ ꯏꯪ ꯲꯰꯱꯲ꯗ ꯔꯁꯤꯌꯥꯟ ꯑꯦꯀꯥꯗꯦꯃꯤ ꯑꯣꯐ ꯁꯥꯏꯟ꯭ꯁꯁꯇꯒꯤ ꯆꯦꯕꯤꯁꯦꯚ ꯒꯣꯜꯗ ꯃꯦꯗꯜ ꯐꯪꯈꯤ ꯫

ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤ ꯄꯦꯔꯤꯁ-ꯅꯣꯔꯗ ꯏꯪ ꯲꯰꯰꯱ ꯗ ꯄꯥꯔꯁꯤꯟꯕꯨ ꯑꯣꯅꯔꯦꯔꯤ ꯗꯣꯛꯇꯔꯦꯠ ꯑꯃꯥ ꯄꯤꯈꯤ ꯫ ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯏꯪ ꯲꯰꯰꯶ꯇ ꯔꯁꯤꯌꯥꯟ ꯑꯦꯀꯥꯗꯦꯃꯤ ꯑꯣꯐ ꯁꯥꯏꯟꯁꯁ ꯃꯔꯤ ꯂꯩꯅꯕ ꯃꯤꯍꯨꯠ ꯑꯃ ꯑꯣꯏꯅ ꯈꯟꯈꯤ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯃꯇꯨꯡꯗ ꯏꯪ ꯲꯰꯱꯱ꯗ ꯃꯄꯨꯡ ꯐꯥꯕ ꯃꯤꯍꯨꯠ ꯑꯃ ꯑꯣꯏꯅ ꯈꯟꯕ ꯉꯝꯈꯤ ꯫ ꯃꯍꯥꯛ ꯏꯪ ꯲꯰꯱꯷ ꯇ ꯑꯦꯀꯥꯗꯦꯃꯤꯌꯥ ꯌꯨꯔꯣꯄ꯭ꯌꯥ ꯃꯤꯍꯨꯠ ꯑꯣꯏꯅ ꯈꯟꯈꯤ ꯫

ꯄꯥꯔꯁꯤꯟ ꯑꯁꯤ ꯏꯪ ꯱꯹꯷꯰ꯒꯤ ꯏꯟꯇꯔꯅꯦꯁꯅꯦꯜ ꯀꯪꯒ꯭ꯔꯦꯁ ꯑꯣꯐ ꯃꯦꯊꯦꯃꯦꯇꯤꯁꯤꯌꯟꯁ (ꯑꯥꯏ. ꯁꯤ. ꯑꯦꯝ.) ꯗ ꯀꯧꯈꯤꯕ ꯋꯥꯉꯥꯡꯂꯣꯏ ꯑꯃꯥ ꯑꯣꯏꯈꯤ, ꯃꯍꯥꯛꯀꯤ ꯋꯥꯇꯥꯏ ꯑꯗꯨ ꯀ꯭ꯋꯦꯂꯀꯁ ꯀꯟꯖꯦꯛꯆꯔꯁ ꯗꯦ ꯐꯥꯏꯅꯤꯇꯤꯎꯗ ꯑꯦꯟ ꯖꯤꯑꯣꯃꯦꯇ꯭ꯔꯤ ꯗꯤꯑꯣꯐꯦꯟꯇꯤꯌꯟ ꯍꯥꯏꯅ ꯃꯤꯡꯊꯣꯟꯈꯤ ꯫ ꯃꯍꯥꯛ ꯏꯪ ꯲꯰꯱꯰ ꯒꯤ ꯑꯥꯏ. ꯁꯤ. ꯑꯦꯝ. ꯗ ꯄ꯭ꯂꯦꯅꯦꯔꯤ ꯁ꯭ꯄꯤꯀꯔ ꯑꯃꯥ ꯑꯣꯏꯈꯤ ꯃꯍꯥꯛꯀꯤ ꯋꯥꯇꯥꯏꯒꯤ ꯃꯃꯤꯡ ꯔꯤꯄ꯭ꯔꯦꯖꯦꯟꯇꯦꯁꯟꯁ ꯑꯣꯐ ꯍꯥꯏꯌꯔ ꯑꯦꯗꯦꯂꯤꯛ ꯒ꯭ꯔꯨꯞꯁ ꯑꯦꯟꯗ ꯑꯔꯤꯊꯃꯦꯇꯤꯛ ꯍꯥꯏꯅ ꯊꯝꯈꯤ ꯫

 ꯃꯇꯦꯡ ꯂꯧꯔꯛꯏꯝꯁꯤꯡ