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On the least positive solution to a prop...

Moscariello, Alessio...

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On the least positive solution to a proportionally modular Diophantine inequality by Moscariello, Alessio ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	Given three positive integers $a,b,c$, a proportionally modular Diophantine inequality is an expression of the form $ax \mod{b} \le cx$. Our aim is to give a recursive formula for the least solution to such an inequality. We then use the formula to derive an algorithm. Finally, we apply our results to a question of Rosales and Garc\'ia-S\'anchez.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1312.5126

Citation

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AMA 11th EditionReferences

Moscariello, Alessio. On the least positive solution to a proportionally modular Diophantine inequality. Australian National University. August 04, 2023. Accessed August 13, 2025. https://online.provdatabase.com/cite/10787

APA 7th EditionReferences

Moscariello, Alessio. (2023). On the least positive solution to a proportionally modular Diophantine inequality. Australian National University. https://online.provdatabase.com/cite/10787

Chicago 17th EditionReferences

Moscariello, Alessio. On the least positive solution to a proportionally modular Diophantine inequality. Australian National University. 2023. https://online.provdatabase.com/cite/10787

HarvardReferences

Moscariello, Alessio. (2023). On the least positive solution to a proportionally modular Diophantine inequality. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/10787. (Accessed 13 August 2025).

Harvard AustraliaReferences

Moscariello, Alessio, 2023, On the least positive solution to a proportionally modular Diophantine inequality, Australian National University, viewed 13 August 2025, <https://online.provdatabase.com/cite/10787>

MLA 9th EditionWorks Cited

Moscariello, Alessio. On the least positive solution to a proportionally modular Diophantine inequality. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/10787.

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