dc.citation.conferencePlace |
JA |
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dc.citation.title |
PanAsian Number Theory |
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dc.contributor.author |
Lee, Jungwon |
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dc.contributor.author |
Sun, Hae-sang |
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dc.date.accessioned |
2024-01-31T21:06:14Z |
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dc.date.available |
2024-01-31T21:06:14Z |
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dc.date.created |
2022-01-04 |
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dc.date.issued |
2021-12-10 |
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dc.description.abstract |
Let R(n,x) be the number of modular inverses modulo n that are less than x. It is well-known (e.g. Heath-Brown) that R(p,p^{3/4+\epsilon})\gg p^{1/2+\epsilon} for primes p. An open problem is to improve the exponent 3/4. In the talk, I will introduce how to study the average version of the problem in terms of the dynamics of continued fractions. This is research in progress. |
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dc.identifier.bibliographicCitation |
PanAsian Number Theory |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/76443 |
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dc.identifier.url |
https://sites.google.com/view/pant-kyoto-2021/home |
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dc.publisher |
RIMS |
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dc.title |
Dynamics of continued fractions and distribution of modular inverses |
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dc.type |
Conference Paper |
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dc.date.conferenceDate |
2012-12-06 |
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