Results 31 to 40 of about 69,416 (237)

Supnorm of modular forms of half-integral weight in the weight aspect [PDF]

open access: yesActa Arithmetica, 2017
We bound the supnorm of half-integral weight Hecke eigenforms in the Kohnen plus space of level $4$ in the weight aspect, by combining bounds obtained from the Fourier expansion with the amplification method using a Bergman kernel.
openaire   +3 more sources

Linear dependence of certain L-values of half-integral weight modular forms [PDF]

open access: yes, 2009
For two holomorphic modular forms h1(z) = 1∑ m=
Katsurada, Hidenori, Mizuno, Yoshinori
core   +2 more sources

Effective construction of Hilbert modular forms of half-integral weight

open access: yesMathematische Zeitschrift, 2022
Final version, published in Mathematische ...
Sirolli, Nicolás Martín   +1 more
openaire   +4 more sources

Explicit formulas for the twisted Koecher-Maaß series of the Duke-Imamoglu-Ikeda lift and their applications [PDF]

open access: yes, 2013
We give an explicit formula for the twisted Koecher-Maa? series of the Duke-Imamoglu-Ikeda lift. As an application we prove a certain algebraicity result for the values of twisted Rankin-Selberg series at integers of half-integral weight modular ...
Katsurada, Hidenori
core   +1 more source

Modular forms of half-integral weights on SL(2, ℤ) [PDF]

open access: yesNagoya Mathematical Journal, 2014
Abstract In this paper, we prove that, for an integer r with (r, 6) = 1 and 0 < r < 24 and a nonnegative even integer s, the set is isomorphic to as Hecke modules under the Shimura correspondence. Here Ms(1) denotes the space of modular forms of weight is the space of newforms of weight 2k on Γ0 (6) that are ...
openaire   +2 more sources

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

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

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

open access: yesMolecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice   +16 more
wiley   +1 more source

Shimura correspondence for level $p^2$ and the central values of $L$-series II [PDF]

open access: yes, 2014
Given a Hecke eigenform $f$ of weight $2$ and square-free level $N$, by the work of Kohnen, there is a unique weight $3/2$ modular form of level $4N$ mapping to $f$ under the Shimura correspondence.
Ariel Pacetti   +3 more
core   +2 more sources

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