Results 111 to 120 of about 2,907,134 (258)

Regularized Petersson inner products for meromorphic modular forms

, 2016
We investigate the history of inner products within the theory of modular forms. We first give the history of the applications of Petersson's original definition for the inner product of $S_{2k}$ and then recall Zagier's extension to a non-degenerate ...
Kane, BR
core  

Accurate and noninvasive prostate cancer detection using plasma‐derived extracellular vesicle RNA

FEBS Open Bio, EarlyView.
Plasma extracellular vesicles were captured with WGA‐conjugated magnetic beads and profiled for RNA biomarkers. A three‐RNA panel (NM_024955, NR_047469, and NR_002564) distinguished prostate cancer from healthy controls and benign prostatic hyperplasia, supporting a simple, noninvasive approach to improve prostate cancer detection.
Hanping Wei, Haoran Wu, Wei Feng
wiley   +1 more source

On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]

Res Math Sci, 2020
Fonseca TJ.
europepmc   +1 more source

p-adic Modular Forms

, 2021
The aim of this thesis is to study p-adic modular forms, which are, roughly speaking, p-adic limits of classical modular forms. In particular, we give a self-contained and detailed overview of Serre’s p-adic modular forms, the objects introduced in the
Iudica, Francesco Maria
core  

From patient advocacy to patient‐driven research: Building active partnerships beginning at the bench to reach the bedside

FEBS Open Bio, EarlyView.
Research is strongest when conducted alongside patients, not just about them. Patient research organizations help integrate patient perspectives into research priorities, study design, and scientific meetings, leading to meaningful patient outcomes and development of relevant therapies.
Jenica H. Kakadia, Rachel Heilmann, Maximiliano Barrientos, Laura MacNeill, Ingrid Vallee, Sarah K. Schultz, Patrick O'Donoghue, Angelica A. Moresco, Victoria M. Siu, Ilka U. Heinemann   +9 more
wiley   +1 more source

Non-holomorphic modular flavor symmetry

Journal of High Energy Physics
The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level N polyharmonic Maaß forms satisfying the Laplacian condition.
Bu-Yao Qu, Gui-Jun Ding
doaj   +1 more source

Modular forms and Period polynomials

, 2021
1
CHOIE, YOUNG JU
core  

GelMA‐based 3D spheroids recapitulate transcriptomic and functional hallmarks of myeloid sarcoma

FEBS Open Bio, EarlyView.
GelMA 5% hydrogels support the formation of myeloid leukemia spheroids that recapitulate MS‐specific features, including G1 arrest, apoptosis, and ECM‐driven transcriptomic reprogramming. The 3D model mimicked soft‐tissue‐like stiffness and oxygen conditions, and transcriptomic convergence with primary MS samples confirmed its utility as a preclinical ...
Nicolas Germain, Elise Buret, Le Hoang Thanh Nguyen, Marion Cocheteux, Nicolas Touya, Mélanie Dhayer, Romain Dubois, Frank Lafont, Sebastien Janel, Patrice Maboudou, Steve Lancel, Philippe Marchetti   +11 more
wiley   +1 more source

Modular group and modular forms [PDF]

, 2010
2010 Summer.Includes bibliographic references.Covers not scanned.Print version deaccessioned 2022.We prove some results about the structure of SL2(Z) and related groups. We define modular forms for this group and develop the basic theory. We then use the
Schmidt, Eric, author, Hulpke, Alexander, advisor, Achter, Jeff, committee member, Harton, John, committee member, Cavalieri, Renzo, committee member   +4 more
core  

Threonine 348 regulates the subcellular localization of PTEN

FEBS Open Bio, EarlyView.
Thr348 in the C2 domain is a key contributor to PTEN subcellular localization. The PTEN350 fragment and PTENA4 accumulated in the nucleus, whereas PTENK13R,A4 predominantly localized to the plasma membrane. In contrast, substitution of Thr348 with Asp (T348D) disrupted these characteristic localization patterns, resulting in predominant cytoplasmic ...
Takashi Kato, Suzu Tanaka, Miyu Ohashi
wiley   +1 more source