The ternary Goldbach problem with two Piatetski–Shapiro primes and a prime with a missing digit

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چکیده

Let [Formula: see text] text], be fixed. also text]. We prove on assumption of the Generalized Riemann Hypothesis that each sufficiently large odd integer can represented in form where are for and decimal expansion does not contain digit The proof merges methods Maynard from his paper infinitude primes with restricted digits, results Balog Friedlander Piatetski-Shapiro Hardy–Littlewood circle method two variables. This is first result ternary Goldbach problem mixed type which involves missing digits.

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ژورنال

عنوان ژورنال: Communications in Contemporary Mathematics

سال: 2022

ISSN: ['0219-1997', '1793-6683']

DOI: https://doi.org/10.1142/s0219199721501017