dc.citation.conferencePlace |
FR |
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dc.citation.conferencePlace |
Online |
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dc.citation.title |
French-Korean IRL in Mathematics |
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dc.contributor.author |
Sun, Hae-sang |
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dc.contributor.author |
Lee, Jungyun |
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dc.contributor.author |
Jun, Byungheup |
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dc.date.accessioned |
2024-01-31T21:40:29Z |
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dc.date.available |
2024-01-31T21:40:29Z |
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dc.date.created |
2021-08-30 |
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dc.date.issued |
2021-06-07 |
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dc.description.abstract |
It is known that any Fourier coefficient of a newform of weight 2 can be expressed as a polynomial with rational coefficients, of a single algebraic critical value of the corresponding L-function twisted by a Dirichlet character of $p$-power conductor for a rational prime $p$. In the talk, I will discuss a version of this result in terms of Hecke L-function over a totally real field, twisted by Hecke characters of $p$-power conductors. The discussion involves new technical challenges that arise from the presence of the unit group, which are (1) counting lattice points in a cone that $p$-adically close to units and (2) estimating an exponential sum over the unit group. This is joint work with Byungheup Jun and Jungyun Lee. |
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dc.identifier.bibliographicCitation |
French-Korean IRL in Mathematics |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/77295 |
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dc.identifier.url |
https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
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dc.publisher |
Univsite Bordeaux, KIAS |
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dc.title |
Cyclotomic Hecke L-values of a totally real field |
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dc.type |
Conference Paper |
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dc.date.conferenceDate |
2021-06-07 |
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