On the weak uniform Diophantine exponent of a real number

Oleg N. German

doi:10.48550/arxiv.2507.03554

July 4, 2025Open Access

On the weak uniform Diophantine exponent of a real number

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Key Points

The study introduces a new concept of the weak uniform diophantine exponent, offering insights into real numbers.
It provides a complete description of the spectrum of values for this exponent, enhancing the theoretical framework.
The findings may enrich the field of number theory, linking real numbers to their diophantine properties.
Implications of these findings could influence further research on approximations and sequences in mathematics.

Implication

This paper reveals insights into the weak uniform Diophantine exponent values in real numbers, suggesting a comprehensive understanding of its spectrum.

Abstract

In this paper we introduce the notion of a weak uniform Diophantine exponent of a real number and obtain the complete description of the spectrum of its values.

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Cite This Study

Oleg N. German (2025) studied this question.

synapsesocial.com/papers/68f5fcdc8d54a28a75cf256b https://doi.org/10.48550/arxiv.2507.03554

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On the weak uniform Diophantine exponent of a real number

Key Points

Implication

Abstract

Discussion

Cite This Study

On the weak uniform Diophantine exponent of a real number

Key Points

Implication

Abstract

Discussion

Cite This Study

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