scholarly journals On the L‐invariant of the adjoint of a weight one modular form

2021 ◽  
Author(s):  
Marti Roset ◽  
Victor Rotger ◽  
Vinayak Vatsal
Keyword(s):  
Modular Form ◽  
Weight One

Central Histamine, the H3-Receptor and Obesity Therapy

2019 ◽  
Vol 18 (7) ◽  
pp. 516-522
Author(s):  
Néstor F. Díaz ◽  
Héctor Flores-Herrera ◽  
Guadalupe García-López ◽  
Anayansi Molina-Hernández
Keyword(s):  
Body Weight ◽  
Food Intake ◽  
Animal Studies ◽  
Energy Homeostasis ◽  
Receptor Activation ◽  
Receptor Ligands ◽  
Histaminergic System ◽  
H3 Receptor ◽  
Weight One ◽  
The Central Nervous System

The brain histaminergic system plays a pivotal role in energy homeostasis, through H1- receptor activation, it increases the hypothalamic release of histamine that decreases food intake and reduces body weight. One way to increase the release of hypothalamic histamine is through the use of antagonist/inverse agonist for the H3-receptor. Histamine H3-receptors are auto-receptors and heteroreceptors located on the presynaptic membranes and cell soma of neurons, where they negatively regulate the synthesis and release of histamine and other neurotransmitters in the central nervous system. Although several compounds acting as H3-receptor antagonist/inverse agonists have been developed, conflicting results have been reported and only one has been tested as anti-obesity in humans. Animal studies revealed the opposite effect in food intake, energy expeditor, and body weight, depending on the drug, spice, and route of administration, among others. The present review will explore the state of art on the effects of H3-receptor ligands on appetite and body-weight, going through the following: a brief overview of the circuit involved in the control of food intake and energy homeostasis, the participation of the histaminergic system in food intake and body weight, and the H3-receptor as a potential therapeutic target for obesity.

scholarly journals Iwasawa Theory of Elliptic Modular Forms Over Imaginary Quadratic Fields at Non-ordinary Primes

2019 ◽  
Author(s):  
Kâzım Büyükboduk ◽  
Antonio Lei
Keyword(s):  
Modular Form ◽  
Modular Forms ◽  
Quadratic Field ◽  
Euler System ◽  
Base Change ◽  
Iwasawa Theory ◽  
Imaginary Quadratic Field ◽  
Selmer Groups ◽  
Imaginary Quadratic Fields ◽  
Elliptic Modular Form

AbstractThis article is a continuation of our previous work [7] on the Iwasawa theory of an elliptic modular form over an imaginary quadratic field $K$, where the modular form in question was assumed to be ordinary at a fixed odd prime $p$. We formulate integral Iwasawa main conjectures at non-ordinary primes $p$ for suitable twists of the base change of a newform $f$ to an imaginary quadratic field $K$ where $p$ splits, over the cyclotomic ${\mathbb{Z}}_p$-extension, the anticyclotomic ${\mathbb{Z}}_p$-extensions (in both the definite and the indefinite cases) as well as the ${\mathbb{Z}}_p^2$-extension of $K$. In order to do so, we define Kobayashi–Sprung-style signed Coleman maps, which we use to introduce doubly signed Selmer groups. In the same spirit, we construct signed (integral) Beilinson–Flach elements (out of the collection of unbounded Beilinson–Flach elements of Loeffler–Zerbes), which we use to define doubly signed $p$-adic $L$-functions. The main conjecture then relates these two sets of objects. Furthermore, we show that the integral Beilinson–Flach elements form a locally restricted Euler system, which in turn allow us to deduce (under certain technical assumptions) one inclusion in each one of the four main conjectures we formulate here (which may be turned into equalities in favorable circumstances).

scholarly journals Anticyclotomic p-ordinary Iwasawa theory of elliptic modular forms

2018 ◽  
Vol 30 (4) ◽  
pp. 887-913 ◽  
Author(s):  
Kâzım Büyükboduk ◽  
Antonio Lei
Keyword(s):  
Modular Form ◽  
Modular Forms ◽  
Quadratic Field ◽  
Iwasawa Theory ◽  
Imaginary Quadratic Field ◽  
Main Conjecture ◽  
Elliptic Modular Form

Abstract This is the first in a series of articles where we will study the Iwasawa theory of an elliptic modular form f along the anticyclotomic {\mathbb{Z}_{p}} -tower of an imaginary quadratic field K where the prime p splits completely. Our goal in this portion is to prove the Iwasawa main conjecture for suitable twists of f assuming that f is p-ordinary, both in the definite and indefinite setups simultaneously, via an analysis of Beilinson–Flach elements.

ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS

2010 ◽  
Vol 06 (01) ◽  
pp. 69-87 ◽  
Author(s):  
ALISON MILLER ◽  
AARON PIXTON
Keyword(s):  
Modular Form ◽  
Modular Forms ◽  
Fourier Coefficients ◽  
Algebraic Numbers ◽  
Heegner Points ◽  
Positive Weight ◽  
Poincare Series ◽  
Half Integral Weight ◽  
Integral Weight ◽  
Modular Invariants

We extend results of Bringmann and Ono that relate certain generalized traces of Maass–Poincaré series to Fourier coefficients of modular forms of half-integral weight. By specializing to cases in which these traces are usual traces of algebraic numbers, we generalize results of Zagier describing arithmetic traces associated to modular forms. We define correspondences [Formula: see text] and [Formula: see text]. We show that if f is a modular form of non-positive weight 2 - 2 λ and odd level N, holomorphic away from the cusp at infinity, then the traces of values at Heegner points of a certain iterated non-holomorphic derivative of f are equal to Fourier coefficients of the half-integral weight modular forms [Formula: see text].

scholarly journals Tropical ideals do not realise all Bergman fans

2021 ◽  
Vol 8 (3) ◽  
Author(s):  
Jan Draisma ◽  
Felipe Rincón
Keyword(s):  
Tropical Geometry ◽  
Tensor Products ◽  
Tropical Variety ◽  
Polyhedral Complex ◽  
Direct Sum ◽  
Weight One ◽  
Polyhedral Complexes

AbstractEvery tropical ideal in the sense of Maclagan–Rincón has an associated tropical variety, a finite polyhedral complex equipped with positive integral weights on its maximal cells. This leads to the realisability question, ubiquitous in tropical geometry, of which weighted polyhedral complexes arise in this manner. Using work of Las Vergnas on the non-existence of tensor products of matroids, we prove that there is no tropical ideal whose variety is the Bergman fan of the direct sum of the Vámos matroid and the uniform matroid of rank two on three elements and in which all maximal cones have weight one.

scholarly journals Galois families of modular forms and application to weight one

2021 ◽  
Author(s):  
Sara Arias-de-Reyna ◽  
François Legrand ◽  
Gabor Wiese
Keyword(s):  
Modular Forms ◽  
Weight One

scholarly journals Courier service quality from the clients’ perspective

2017 ◽  
Vol 9 (1) ◽  
pp. 36-45 ◽  
Author(s):  
Aleksandra Gulc
Keyword(s):  
Service Quality ◽  
Global Market ◽  
Research Results ◽  
Client Expectations ◽  
Measurement Tools ◽  
Weight One ◽  
Service Quality Evaluation ◽  
Courier Service ◽  
Survey Results ◽  
Measuring Scale

Abstract The aim of the study is a critical analysis of literature concerning the evaluation of courier service quality and verification if client expectations towards courier service quality change in time considering the perspective of future 5–10 years. Research methods include the theoretical analysis of scientific literature, CAWI survey and statistical analysis of obtained data. The literature overview has shown the lack of clearly defined evaluation constructs of courier service quality together with the criteria and weight, one universal commonly used measuring scale for evaluation of the service quality, diversification of methods and measurement tools for the various groups of stakeholders of courier service. Moreover, it can be concluded that the research concerning the courier service quality has not considered the problem of aging of quality indicators. Research results by the author have proved that the expectations of clients using courier service change in time, some of them are exposed to the aging process (price) while others become more important (for example tele-technologies, modern packaging, and technical facilities). Moreover, the survey results have shown that the customer opinions can be the source of interesting and innovative ideas for the development of courier service in future. The analysis of domestic and foreign literature allowed presenting the academia with an output concerning the evaluation of quality in the field of courier service. As a result, the theoretical and methodological gaps were revealed to expose potential fields for further research. The research results concerning different methods of service quality evaluation can be useful mainly for managers in courier enterprises. Moreover, the knowledge about changing expectations of clients allows adjusting courier proposals to customer needs to gain a competitive advantage in the global market.

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