What question did this study set out to answer?

The aim is to establish criteria determining when infinite series are linearly independent over the rational numbers.

April 4, 2026Open Access

A Generalization of Sandor's Theorem

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The aim is to establish criteria determining when infinite series are linearly independent over the rational numbers.
Developed proofs following the framework of Sandor's theorem.
Analyzed properties of infinite series in relation to rational numbers.
Presented new criteria for linear independence of infinite series.
Confirmed the applicability of these criteria in broader contexts.

Implication

Demonstrates criteria for linear independence of infinite series over rational numbers, implying broader mathematical applications.

Abstract

This paper deals with criteria for infinite series to be linear independent over the rational numbers.The proofs are in the spirit of the proof of the Sndor's theorem concerning the irrationality of infinite series.

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Cite This Study

Jaroslav et al. (2006) studied this question.

synapsesocial.com/papers/69d0a9c8659487ece0fa42ce https://doi.org/10.14992/00008664

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Implication

Demonstrates criteria for linear independence of infinite series over rational numbers, implying broader mathematical applications.

A Generalization of Sandor's Theorem

Key Points

Implication

Abstract

Discussion

Cite This Study

A Generalization of Sandor's Theorem

Key Points

Implication

Abstract

Discussion

Cite This Study

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