Plus/minus p-adic L-functions for Hilbert modular forms

AbstractR. Pollack constructed in Pollack (2003) [13] plus/minus p-adic L-functions for elliptic modular forms, which are p-adically bounded, when the Hecke eigenvalues at p are zero (the most supersingular case). The goal of this work is to generalize his construction to Hilbert modular forms. We find a suitable condition for Hilbert modular forms corresponding to the vanishing of p-th Hecke eigenvalue in elliptic modular form case, which guarantees the existence of plus/minus p-adic L-functions which are p-adically bounded. As an application, we construct cyclotomic plus/minus p-adic L-functions for modular elliptic curves over a totally real field F under the assumption that ap(E)=0 for each prime p dividing p. We formulate a cyclotomic plus/minus Iwasawa main conjecture for such elliptic curves

Extraction of the Major Features of Brain Signals using Intelligent Networks

The brain-computer interface is considered one of the main tools for implementing and designing smart medical software. The analysis of brain signal data, called EEG, is one of the main tasks of smart medical diagnostic systems. While EEG signals have many components, one of the most important brain activities pursued is the P300 component. Detection of this component can help detect abnormalities and visualize the movement of organs of the body. In this research, a new method for processing EEG signals is proposed with the aim of detecting the P300 component. Major features were extracted from the BCI Competition IV EEG data set in a number of steps, i.e. normalization with the purpose of noise reduction using a median filter, feature extraction using a recurrent neural network, and classification using Twin Support Vector Machine. Then, a series of evaluation criteria were used to validate the proposed approach and compare it with similar methods. The results showed that the proposed approach has high accuracy

Bariatric and metabolic surgery in patients with low body mass index: an online survey of 543 bariatric and metabolic surgeons

Bariatric surgery; Metabolic surgery; SurveyCirugía bariátrica; Cirugía metabólica; EncuestaCirurgia bariàtrica; Cirurgia metabòlica; EnquestaBackground Metabolic and bariatric surgery (MBS) in patients with low body mass index patients is a topic of debate. This study aimed to address all aspects of controversies in these patients by using a worldwide survey. Methods An online 35-item questionnaire survey based on existing controversies surrounding MBS in class 1 obesity was created by 17 bariatric surgeons from 10 different countries. Responses were collected and analysed by authors. Results A total of 543 bariatric surgeons from 65 countries participated in this survey. 52.29% of participants agreed with the statement that MBS should be offered to class-1 obese patients without any obesity related comorbidities. Most of the respondents (68.43%) believed that MBS surgery should not be offered to patients under the age of 18 with class I obesity. 81.01% of respondents agreed with the statement that surgical interventions should be considered after failure of non-surgical treatments. Conclusion This survey demonstrated worldwide variations in metabolic/bariatric surgery in patients with class 1 obesity. Precise analysis of these results is useful for identifying different aspects for future research and consensus building

Severity of post-Roux-en-Y gastric bypass dumping syndrome and weight loss outcomes: is there any correlation?

Bariatric surgery; Gastric bypass; Weight lossCirugía bariátrica; Bypass gástrico; Pérdida de pesoCirurgia bariàtrica; Bypass gàstric; Pèrdua de pesPurpose The present research was conducted to evaluate the effect of the severity of dumping syndrome (DS) on weight loss outcomes after Roux-en-Y gastric bypass (RYGB) in patients with class III obesity. Methods The present retrospective cohort study used the dumping symptom rating scale (DSRS) to evaluate the severity of DS and its correlation with weight loss outcomes in 207 patients 1 year after their RYGB. The patients were assigned to group A with mild-to-moderate DS or group B with severe DS. Results The mean age of the patients was 42.18 ± 10.46 years and their mean preoperative BMI 42.74 ± 5.59 kg/m2. The total weight loss percentage (%TWL) in group B was insignificantly higher than that in group A, but besides that was not significantly different in the two groups. Conclusion The present findings suggested insignificant relationships between the presence and severity of DS after RYGB and adequate postoperative weight loss.Open Access Funding provided by Universitat Autonoma de Barcelona

On non-vanishing of certain L-functions

vii, 78 leaves ; 29 cm.This thesis presents the following: (i) A detailed exposition of Rankin's classical work on the convulsion of two modular L-functions is given; (ii) Let S be the calss Dirichlet series with Euler product on Re(s) > 1 that can be continued analytically to Re(s) = 1 with a possible pole at s = 1. For F,G E S, let F X G be the Euler product convolution of F and G. Assuming the existence of analytic continuation for certain Dirichlet series and some other conditions, it is proved that F x G is non-vanishing on the line Re(s) = 1; (iii) Let Fn be the set of newforms of weight 2 and level N. For f E Fn, let L(sym2f,s) be the associated symmetric square L-function. Let s0=0o + ito with 1 - 1/46 0 and Cso,E is a constant depending only on So and E

Is Decline Rate of Intact Parathyroid Hormone Level a Reliable Criterion for Early Discharge of Patients after Total Thyroidectomy?

Introduction: Parathyroid dysfunction leading to symptomatic hypocalcemia is not uncommon following a total thyroidectomy and is often associated with significant patient morbidity and a prolonged hospital stay. The current study aimed at evaluating the comparative predictive role of serum calcium and intact parathyroid hormone (iPTH) for post-thyroidectomy hypocalcemia.   Materials and Methods: This prospective study was performed in 83 consecutive patients undergoing total thyroidectomy. Laboratory data such as serum calcium, vitamin D level, serum iPTH and serum phosphorus levels before surgery, postoperative calcium, and PTH levels measured after 1 and 6 hours and on the first postoperative day (1POD) were recorded.   Results: Among the 83 patients, the mean (SD) age was 45.87 (12.57) years (range, 21–72 years); 70 (84.3%) patients were female. Final pathology was benign for 47 (56.6%) patients and malignant for 36 (43.4%) patients. In total, lymph node dissections were performed in 19 subjects (22.9%). On histological examination of the specimens, the parathyroid gland was found to have been removed inadvertently in 13 (15.7%) cases. In total, 35 (40.9%) patients developed hypocalcemia after thyroidectomy; receiver operating characteristic (ROC) analysis showed that a cut-off value of 15.39 pg/ml for iPTH, with a decline rate of 73% 1 hour after thyroidectomy is a significant predictor of hypocalcemia (area under the curve [AUC], 0.878; 95% confidence interval [CI], 0.79–0.96,

Mapping local patterns of childhood overweight and wasting in low- and middle-income countries between 2000 and 2017

A double burden of malnutrition occurs when individuals, household members or communities experience both undernutrition and overweight. Here, we show geospatial estimates of overweight and wasting prevalence among children under 5 years of age in 105 low- and middle-income countries (LMICs) from 2000 to 2017 and aggregate these to policy-relevant administrative units. Wasting decreased overall across LMICs between 2000 and 2017, from 8.4% (62.3 (55.1–70.8) million) to 6.4% (58.3 (47.6–70.7) million), but is predicted to remain above the World Health Organization’s Global Nutrition Target of <5% in over half of LMICs by 2025. Prevalence of overweight increased from 5.2% (30 (22.8–38.5) million) in 2000 to 6.0% (55.5 (44.8–67.9) million) children aged under 5 years in 2017. Areas most affected by double burden of malnutrition were located in Indonesia, Thailand, southeastern China, Botswana, Cameroon and central Nigeria. Our estimates provide a new perspective to researchers, policy makers and public health agencies in their efforts to address this global childhood syndemic

p-adic deformation of Shintani cycles

The goal of this thesis is to generalize to elliptic curves a classical formula of Hecke. This is chiefly achieved through studying p-adic deformation of certain Shintani cycles attached to a real quadratic field K and an elliptic curve E/Q of conductor N. Assume that all the prime divisors of N are split in K. Also suppose that E has multiplicative reduction at a prime p, and denote by fE the newform attached to E via Shimura-Taniyama, and finally fix a quadratic unramified character G of Gal(K&macr;/K). We (1) construct a p-adic analytic function Lp (E/K, G ; kappa) which interpolates a G -twisted sum of Shintani Cycles associated to the weight-k -specializations of a Hida family hE arising from Hida's theory applied to fE; (2) give a factorization of Lp (E/K, G ; kappa)2 into the product of two Mazur-Kitagawa p-adic L-functions. We will prove that Lp (E/K, G ; kappa) vanishes at the point kappa = 2 to order at least two, provided further that E/Q has at least two primes of multiplicative reduction. Our main result expresses L''p (E/K, G ; 2), up to a non-zero rational fudge factor, as the product of the formal group logarithms of two global points on E defined over the narrow Hilbert class-field of K; (3) show finally, in the spirit of Gross and Zagier, that the two points just alluded to are both of infinite order if and only if the complex L-function L(E/K, G ; s) vanishes to order exactly two at the central point s = 1