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Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, Forthcoming paper (Mi im9544)  
Primes in tuples and Romanoff's theorem

A. O. Radomskii

HSE University, Moscow
Abstract: We obtain a lower bound for a number of primes in tuples. As applications, we obtain a lower bound for the Romanoff's type representation functions.
Keywords: Primes; the Bombieri-Vinogradov type theorem; Representation functions; Primes in tuples; Romano 's theorem.
Received: 06.10.2023
Revised: 29.05.2024
Document Type: Article
UDC: 511.33
MSC: 11Nxx
Language: Russian
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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