Results 41 to 50 of about 2,560,834 (159)

Density of classical points in eigenvarieties [PDF]

, 2011
In this short note, we study the geometry of the eigenvariety parametrizing p-adic automorphic forms for GL(1) over a number field, as constructed by Buzzard. We show that if K is not totally real and contains no CM subfield, points in this space arising
Loeffler, David
core  

On exotic matrix exponential sums and Bessel–Speh functions

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley   +1 more source

Construction of mixed automorphic forms

, 2019
It has been known that mixed automorphic forms arise naturally as holomorphic forms on elliptic varieties and that they include classical automorphic forms as a special case.
Choie, Y
core   +1 more source

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Primitivity testing in free group algebras via duality

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel, Danielle Ernst‐West, Doron Puder   +2 more
wiley   +1 more source

From living to fossil: ancestral state reconstruction of leaf architecture in extant Lauraceae and its relevance for the fossil record

Palaeontology, Volume 69, Issue 3, 2026.
Abstract Lauraceae are a tropical–subtropical angiosperm family that exhibit significant diversity and a rich fossil record, primarily of leaves found worldwide from the Cretaceous to the present. However, the taxonomic placement of many fossil leaves remains uncertain because of morphological convergence and limited variation in leaf characters among ...
Marco A. Rubalcava‐Knoth, Angélica Quintanar‐Castillo, Ana L. Hernández‐Damián, Sergio R. S. Cevallos‐Ferriz   +3 more
wiley   +1 more source

Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley   +1 more source

Flowering biology and nectary structure of Melissa officinalis L.

Acta Agrobotanica, 2012
The present study on lemon balm (Melissa officinalis L.) covered flowering biology, monitoring of pollinating insects and floral nectary structure. The micromorphology of epidermal cells of the nectary was investigated using scanning electron microscopy.
Mirosława Chwil
doaj   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source