Results 61 to 70 of about 78,625 (277)

On a completed generating function of locally harmonic Maass forms

open access: yes, 2014
While investigating the Doi-Naganuma lift, Zagier defined integral weight cusp forms $f_D$ which are naturally defined in terms of binary quadratic forms of discriminant $D$.
Ben Kane   +8 more
core   +1 more source

Circular RNA expression landscapes in myelodysplastic neoplasms: Associations with mutational signatures and disease progression

open access: yesMolecular Oncology, EarlyView.
In this explorative study, the abundance of circular RNA molecules in bone marrow stem cells was found to be elevated in patients with high‐risk myelodysplastic neoplasms, and to be associated with an increased risk of progression to acute myeloid leukemia.
Eileen Wedge   +17 more
wiley   +1 more source

Rigid realizations of modular forms in Calabi--Yau threefolds

open access: yes, 2017
We construct examples of modular rigid Calabi--Yau threefolds, which give a realization of some new weight 4 cusp ...
Burek, Dominik
core   +1 more source

EDNRB‐dependent endothelin signaling reduces proliferation and promotes proneural‐to‐mesenchymal transition in gliomas

open access: yesMolecular Oncology, EarlyView.
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau   +36 more
wiley   +1 more source

Cusp forms and Hecke groups.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1988
Let \(\Gamma_ q\) be the so-called Hecke subgroup of \(SL_ 2({\mathbb{R}})\) generated by \(\begin{pmatrix} 0&-1 \\ 1&0 \end{pmatrix}\) and \(\begin{pmatrix} 1&2 \cos(\pi/q) \\ 0&1 \end{pmatrix}\) where \(q\geq 3\) is an integer. The author reports on his calculations of the point spectrum of the Laplace-Beltrami operator \(\Delta\) acting on suitable \
openaire   +1 more source

On the coefficients of cusp forms [PDF]

open access: yesMathematical Research Letters, 1997
Fix a cuspidal representation \(\pi\) of \(GL(2)\) over (the adele ring of) a number field \(F\), and write \(a_v\) for the sum of the Hecke eigenvalues of \(\pi\) at a place \(v\) of \(F\) where \(\pi\) is unramified. Ramanujan's conjecture for \(\pi\) is equivalent to \(|a_v|\leq 2\) for all \(v\).
openaire   +1 more source

Relating Siegel cusp forms to Siegel–Maaß forms

open access: yesResearch in Number Theory, 2022
AbstractIn this paper we generalize a well-known isomorphism between the space of cusp forms of weight k for a Fuchsian subgroup of the first kind $$\Gamma \subset \mathrm {SL}_{2}({\mathbb {R}})$$ Γ ⊂ SL 2
Jürg Kramer, Antareep Mandal
openaire   +3 more sources

Differential regulation of ZFAS1 splice variants by endoplasmic reticulum stress in hepatocyte cell lines

open access: yesFEBS Open Bio, EarlyView.
ZFAS1 is a lncRNA promoting cell proliferation and migration, exhibiting high expression in various cancers. It is conserved, widely expressed, and produces multiple splice variants with unclear roles. We identified several splice variants in hepatocyte models, and found that inhibiting or suppressing regulators of the unfolded protein response (PERK ...
Sébastien Soubeyrand   +2 more
wiley   +1 more source

The protoconid: a key cusp in lower molars. Evidence from a recent modern human population

open access: yesAnnals of Human Biology, 2022
Background The molar (M) size sequence in the genus Homo is decreasing and the general pattern in Homo sapiens is M1> M2 > M3. Aim To gain a better understanding of the reduction patterns of M components (cusps), we aim to assess the area of the ...
José María Bermúdez de Castro   +3 more
doaj   +1 more source

On certain constructions of p-adic families of Siegel modular forms of even genus [PDF]

open access: yes, 2010
Suppose that p > 5 is a rational prime. Starting from a well-known p-adic analytic family of ordinary elliptic cusp forms of level p due to Hida, we construct a certain p-adic analytic family of holomorphic Siegel cusp forms of arbitrary even genus and ...
Kawamura, Hisa-Aki
core  

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