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pro vyhledávání: '"Chen, Ryan C."'
Autor:
Chen, Ryan C.
This is the third in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank $1$ for Kudla--Rapoport special cycles on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic di
Externí odkaz:
http://arxiv.org/abs/2405.01428
Autor:
Chen, Ryan C.
This is the fourth in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank $1$ for Kudla--Rapoport special cycles on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic d
Externí odkaz:
http://arxiv.org/abs/2405.01429
Autor:
Chen, Ryan C.
This is the second in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank $1$ for Kudla--Rapoport special cycles on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic d
Externí odkaz:
http://arxiv.org/abs/2405.01427
Autor:
Chen, Ryan C.
This is the first in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank $1$ for Kudla--Rapoport special cycles on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic di
Externí odkaz:
http://arxiv.org/abs/2405.01426
Autor:
Chen, Ryan C., Kim, Yujin H., Lichtman, Jared D., Miller, Steven J., Shubina, Alina, Sweitzer, Shannon, Waxman, Ezra, Winsor, Eric, Yang, Jianing
Publikováno v:
Experimental Mathematics (2020)
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifurcation point in the main term, consistent with the Random Matrix Theor
Externí odkaz:
http://arxiv.org/abs/1901.07386
Publikováno v:
SIGMA 15 (2019), 033, 35 pages
The theory of monstrous moonshine asserts that the coefficients of Hauptmoduln, including the $j$-function, coincide precisely with the graded characters of the monster module, an infinite-dimensional graded representation of the monster group. On th
Externí odkaz:
http://arxiv.org/abs/1809.02913
Autor:
Chen, Ryan C., Kim, Yujin H., Lichtman, Jared D., Miller, Steven J., Sweitzer, Shannon, Winsor, Eric
Publikováno v:
Random Matrices Theory Appl. 08 (2019) 1950005
Recently Burkhardt et. al. introduced the $k$-checkerboard random matrix ensembles, which have a split limiting behavior of the eigenvalues (in the limit all but $k$ of the eigenvalues are on the order of $\sqrt{N}$ and converge to semi-circular beha
Externí odkaz:
http://arxiv.org/abs/1803.08127
Autor:
Asada, Megumi, Chen, Ryan C., Fourakis, Eva, Kim, Yujin Hong, Kwon, Andrew, Lichtman, Jared Duker, Mackall, Blake, Miller, Steven J., Winsor, Eric, Winsor, Karl, Yang, Jianing, Yang, Kevin
Publikováno v:
Experimental Mathematics; July 2023, Vol. 32 Issue: 3 p431-456, 26p
Autor:
Arasu, Vignesh A., Chen, Ryan C-Y., Newitt, David N., Chang, C. Belinda, Tso, Hilda, Hylton, Nola M., Joe, Bonnie N.
Publikováno v:
In Academic Radiology 2011 18(6):716-721
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