We study the geometry of $p$-adic Siegel eigenvariety $\mathcal{E}$ paramodular tame level at certain Saito-Kurokawa points having a critical slope. For $k \geq 2$ let $f$ be cuspidal new eigenform $\mathrm{S}_{2k-2}(\Gamma_0(N))$ ordinary prime $p\nmid N$ with sign $\epsilon_f=-1$ and write $\alpha$ for unit root Hecke polynomial $p$. Let $\pi_\alpha$ semi-ordinary $p$-stabilization lift cusp ...

#In this manuscript, we use the term “typical AMD” as neovascular AMD including classic and occult CNV according to the previous report (Maruko I, Iida T, Saito M, Nagayama D, Saito K. Am J Ophthalmol. 2007;144(1):15-22). Therefore RAP lesions were not included. We have mentioned about it in the Method section. In addition, the number of classic CNV and occult CNV has been indicated it in the t...

Water-soluble proteins, mainly livetins (a-, /?-, y-), are present in hen egg yolk (Martin, Vandegaer & Cook, 1957). They represent 5% of fresh yolk solids (Saito, Martin & Cook, 1965). During the later stages of incubation the watersoluble proteins (water-soluble fraction, WSF) undergo a marked increase in relative proportion; after 15 days of incubation they form over 15% and at 18 days over ...

We characterize the irreducible, admissible, spherical representations of GSp4(F ) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satisfied by their spherical vector in a special Bessel model. These local relations are analogous to the Maass relations satisfied by the Fourier coefficients of Siegel modular forms of degree 2 in the image of the Saito-...

Haruaki Hino, Takahiro Utsumi, Natsumi Maru, Hiroshi Matsui, Yohei Taniguchi, Tomohito Saito, Tomohiro Murakawa

Saito-Kurokawa Lifts, L-values for GL2, and Congruences Between Siegel ModularForms