Zobrazeno 1 - 10
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pro vyhledávání: '"GRAHAM, ANDREW"'
On the elliptic sinh-Gordon equation with integrable boundary conditions II -- Baker-Akhiezer theory
Autor:
Smith, Graham Andrew
We study finite-type solutions of the elliptic sinh-Gordon equation along the strip $\Bbb{R}\times[0,L]$ with Durham conditions on each boundary component. We determine necessary rationality criteria for these conditions to be satisfied on both compo
Externí odkaz:
http://arxiv.org/abs/2412.07896
Autor:
Graham, Andrew, Rockwood, Rob
We construct four-variable $p$-adic $L$-functions for the spin Galois representation of a Siegel modular form of genus 2 twisted by the Galois representation of a cuspidal modular form as the modular forms vary in Coleman families. The main ingredien
Externí odkaz:
http://arxiv.org/abs/2411.04559
Autor:
Yeh, Chun-Hsiao, Wang, Jiayun, Graham, Andrew D., Liu, Andrea J., Tan, Bo, Chen, Yubei, Ma, Yi, Lin, Meng C.
Accurate diagnosis of ocular surface diseases is critical in optometry and ophthalmology, which hinge on integrating clinical data sources (e.g., meibography imaging and clinical metadata). Traditional human assessments lack precision in quantifying
Externí odkaz:
http://arxiv.org/abs/2410.00292
Recent research has extended methods from the fields of thermodynamics and statistical mechanics into other disciplines. Most notably, one recent work creates a unified theoretical framework to understand evolutionary biology, machine learning, and t
Externí odkaz:
http://arxiv.org/abs/2405.12344
Autor:
Graham, Andrew
We extend the construction of the $p$-adic $L$-function interpolating unitary Friedberg--Jacquet periods in arXiv:2110.05426 to include the $p$-adic variation of Maass--Shimura differential operators. In particular, we develop a theory of nearly over
Externí odkaz:
http://arxiv.org/abs/2403.05960
In this paper, we give a new geometric definition of nearly overconvergent modular forms and $p$-adically interpolate the Gauss-Manin connection on this space. This can be seen as an ``overconvergent'' version of the unipotent circle action on the sp
Externí odkaz:
http://arxiv.org/abs/2311.14438
Friedberg--Jacquet proved that if $\pi$ is a cuspidal automorphic representation of $\mathrm{GL}_{2n}(\mathbb{A})$, $\pi$ is a functorial transfer from $\mathrm{GSpin}_{2n+1}$ if and only if a global zeta integral $Z_H$ over $H = \mathrm{GL}_n \times
Externí odkaz:
http://arxiv.org/abs/2308.02649