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Generalizing the work of A. Morra and the authors, we give explicit formulas for the Dirichlet series generating function of $D_l$-extensions of odd prime degree $l$ with given quadratic resolvent. Over the course of our proof, we explain connections between our formulas and the Ankeny-Artin-Chowla conjecture, the Ohno-Nakagawa relation for binary cubic forms, and other topics.

International audience

To test if the evaluation of body dissatisfaction by images could be an interesting tool to detect perinatal depression early in pregnancy, questioning patients about their body image instead of their depressive symptoms.A sample of 457 women was recruited in a longitudinal study. Three evaluations were performed at the 4th and 8th months of pregnancy and during post-partum. During these evaluations, sociodemographic data were collected and psychiatric scales were completed, including Edinburgh Postnatal Depression Scale (EPDS), Eating Disorder Examination-Questionnaire (EDE-Q), Pictorial Body Image Scale (PBIS) and Body Shape Questionnaire (BSQ).33% of the women who were unsatisfied with their body image suffered from perinatal depression vs. 11.3% of the women who were not (p 0.0001). The risk of perinatal depression was 4 times higher in women dissatisfied with their body image (p 0.001) if unintended pregnancy and age are taken into account and is 3 times significantly higher in women with higher levels of eating disorders symptoms (p 0.001) if unintended pregnancy and age are taken into account. Our sample was a privileged population, as often in the literature.The administration of a simple scale (PBIS) during an early visit during pregnancy allows detecting perinatal depression. This should prevent the stigmatization of women during pregnancy and reduce the risk of not diagnosing depression during pregnancy and post-partum.

In adults, grip force has reliably been used to investigate motor simulation evoked by linguistic action, suggesting that motor phenomena are linked to semantic action. The parietal and frontal lobes and their connexions are essential neural structures for pragmatic aspects of hand semantic action. In this perspective, the aim of the study was to determine the extent to which two groups of children and adolescents, classically characterized by degree of axonal myelination in fronto-parietal circuits, monitored the occurrence of nouns and manual action verbs presented auditorily while holding a grip force sensor. Differential effects of grip force were seen only in the adolescents when monitoring action verbs. Interestingly, weaker effects of grip force were modulated by noun targets only in the younger children, revealing that the ability to profit from a full semantic representation of verbs is not clearly established in the younger children. Grip force modulation was observed as early as 300 ms post target onset and peaked at the 500–750 ms window of observation for both groups. These group differences are in line with the motor simulation difficulties seen in younger children. The results may also indicate that degree of grip force in response to specific linguistic categories parallels the maturation of the parietal-frontal circuits, including the anterior intra-parietal area which plays a determining role in semantic aspects of hand action.

We investigated the extent to which a complex finger sequence impacts on hand switching costs in a sequential action. Response component latencies (premotor, motor, and movement) were compared in no-switch (same finger performed the action of pressing and reaching) and switch conditions (pressing with one finger and completing the reaching action with the homologous finger from the other hand). Results showed that the switch condition presented longer latency for premotor and movement components. For the motor component, however, switch condition was faster. This expands the previous literature investigating switching costs using simple finger movements in more complex tasks. A mechanical explanation of the interplay between response subcomponents is provided to explain the inversion of response pattern for the motor component.

BACKGROUND The variability in resources for managing critical events among maternity hospitals may impact maternal safety. Our main objective was to assess the risk of postpartum maternal death according to hospitals' organizational characteristics. A secondary objective aimed to assess the specific risk of death due to postpartum hemorrhage (PPH). METHODS This national population-based case-control study included all 2007-2009 postpartum maternal deaths from the national confidential enquiry (n = 147 cases) and a 2010 national representative sample of parturients (n = 14,639 controls). To adjust for referral bias, cases were classified by time when the condition/complication responsible for the death occurred: postpartum maternal deaths due to conditions present before delivery (n = 66) or during or after delivery (n = 81). Characteristics of delivery hospitals included 24/7 on-site availability of an anesthesiologist and an obstetrician, level of perinatal care, number of deliveries annually, and their teaching and profit status. In teaching and other nonprofit hospitals in France, obstetric care is organized on the principle of collective team-based management, while in for-profit hospitals, this organization is based mostly on that of "one woman-one doctor." Logistic regression models were used to estimate adjusted odds ratios (aORs) and 95% confidence intervals (CIs) for postpartum maternal death. RESULTS The risk of maternal death from prepartum conditions was lower for women who gave birth in for-profit compared with teaching hospitals (aOR, 0.3; 95% CI, 0.1-0.8; P = .02) and in hospitals with

International audience; We give a number of theoretical and practical methods related to the computation of L-functions, both in the local case (counting points on varieties over finite fields, involving in particular a detailed study of Gauss and Jacobi sums), and in the global case (for instance Dirichlet L-functions, involving in particular the study of inverse Mellin transforms); we also give a number of little-known but very useful numerical methods, usually but not always related to the computation of L-functions.

In this course, we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author’s book joint with Stromberg (Cohen and Stromberg, Modular Forms: A Classical Approach, Graduate Studies in Math. 179, American Math. Soc. (2017) [1]).

International audience; We begin by explaining how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight thanks to a theorem of Borisov-Gunnells and explicit expansions of Eisenstein series at all cusps. Using this, we then give a number of methods for computing arbitrary Petersson products. All this is available in the current release of the Pari/GP package.

We give theoretical and practical information on the Pari/GP modular forms package available since the spring of 2018. Thanks to the use of products of two Eisenstein series, this package is the first which can compute Fourier expansions at any cusps, evaluate modular forms near the real axis, evaluate L-functions of non-eigenforms, and compute general Petersson scalar products., Research in the Mathematical Sciences (RMSS), In press

Context and objective We previously found that patients with Cushing’s syndrome (CS) scored lower than controls in several domains of cognitive function and that correction of hypercortisolism is not necessarily correlated with short-term improvement in intellectual performance. Here, we examined the long-term outcome in patients treated for CS by assessing the extent to which the detrimental effects of glucocorticoid (GC) excess on cognition can be reversed three years after corrective surgery. Design A battery of neuropsychological tests, including tests of attention, visuospatial processing, learning and memory, and executive functioning were administered pre-treatment and 12, 24 and 36 months post-treatment. Patients and control subjects We included 18 patients with endogenous CS recruited before surgical treatment and 18 controls matched for age, sex and education. Results CS patients performed worse than controls on tests of attention, executive functioning and nonverbal aspects of memory. Moreover, at 36 months following eucortisolism, executive function performance and, to a lesser extent, attention tasks showed limited change compared to pre-treatment testing. Conclusion Chronic hypercortisolism is accompanied by a deleterious impact on aspects of cognitive function. This negative effect on attention, executive performance and nonverbal memory seen in patients with CS suggests a differential effect of excess GCs upon different brain areas and networks. This influence persists years after the return to normal cortisol secretion levels.

Consolidation of a motor skill is characterized by spontaneous improvement in performance between practice sessions. These offline gains can be eliminated if another skill is introduced soon afterward-a phenomenon called retroactive interference. Interference effects have been found in studies using two similar tasks involving the same motor effectors in a manual mode. The present study aimed to determine the extent to which differences in motor production mode modulate interference in skill learning. Healthy participants were assigned to one of three conditions and trained on a finger opposition sequence (FOS) learning task. All subjects were tested 24 h later on the original FOS learning task. Control subjects who were not exposed to a secondary learning task exhibited the expected offline gains after 24 h. Subjects who immediately learned a secondary task after the FOS training, either in the same manual mode (French Sign Language) or in an oral mode (CVC syllables), did not show any offline gains. Interestingly, the amount of interference was equivalent in the manual and oral learning conditions. The results reveal that interference effects in motor skill learning can occur when different effectors are involved in the primary and secondary tasks. The sequence processing abilities of the basal ganglia appear to play a major role in these interference effects.

In previous work, Ohno conjectured, and Nakagawa proved, relations between the counting functions of certain cubic fields. These relations may be viewed as complements to the Scholz reflection principle, and Ohno and Nakagawa deduced them as consequences of `extra functional equations' involving the Shintani zeta functions associated to the prehomogeneous vector space of binary cubic forms. In the present paper we generalize their result by proving a similar identity relating certain degree l fields with Galois groups D_l and F_l respectively, for any odd prime l, and in particular we give another proof of the Ohno-Nakagawa relation without appealing to binary cubic forms., Version 2, 16 pages, to appear in Compositio