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RETRACTED: Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form. (English) Zbl 1405.11037

J. Inequal. Appl. 2017, Paper No. 189, 9 p. (2017); retraction note ibid. 2021, Paper No. 18, 1 p. (2021).
Summary: We prove the conjecture for the non-integer part of a nonlinear differential form representing primes presented in [K. Lai, ibid. 2015, Paper No. 357, 9 p. (2015; Zbl 1339.11051)] by using Tumura-Clunie type inequalities. Compared with the original proof, the new one is simpler and more easily understood. Similar problems can be treated with the same procedure.

MSC:

11D75 Diophantine inequalities

Citations:

Zbl 1339.11051
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Full Text: DOI

References:

[1] Lai, K: The non-integer part of a nonlinear form with integer variables. J. Inequal. Appl. 2015, Article ID 357 (2015) · Zbl 1339.11051 · doi:10.1186/s13660-015-0874-2
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