In this paper, assuming the Landau's conjecture, we obtained an explicit numerical upper bound for the prime modulus of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result on the quantitative upper bound improved the previous results.
Citation: Yafang Kong, Ziyi Song, Lingli Ma, Dengzhe Wang. The ternary Goldbach problem with primes in arithmetic progressions modulus prime numbers[J]. AIMS Mathematics, 2025, 10(12): 30828-30850. doi: 10.3934/math.20251353
In this paper, assuming the Landau's conjecture, we obtained an explicit numerical upper bound for the prime modulus of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result on the quantitative upper bound improved the previous results.
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Yafang Kong, Ziyi Song, Lingli Ma, Dengzhe Wang. The ternary Goldbach problem with primes in arithmetic progressions modulus prime numbers[J]. AIMS Mathematics, 2025, 10(12): 30828-30850. doi: 10.3934/math.20251353
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