3,097 research outputs found
Arithmetic properties of Fredholm series for -adic modular forms
We study the relationship between recent conjectures on slopes of overconvergent -adic modular forms "near the boundary" of -adic weight space. We also prove in tame level 1 that the coeffcients of the Fredholm series of the U operator never vanish modulo , a phenomenon that fails at higher level. In higher level, we do check that infinitely many coefficients are non-zero modulo using a modular interpretation of the mod reduction of the Fredholm series recently discovered by Andreatta, Iovita and Pilloni.Accepted manuscrip
Arithmetic properties of Fredholm series for p-adic modular forms
We study the relationship between recent conjectures on slopes of
overconvergent p-adic modular forms "near the boundary" of p-adic weight space.
We also prove in tame level 1 that the coefficients of the Fredholm series of
the U_p operator never vanish modulo p, a phenomenon that fails at higher
level. In higher level, we do check that infinitely many coefficients are
non-zero modulo p using a modular interpretation of the mod p reduction of the
Fredholm series recently discovered by Andreatta, Iovita and Pilloni.Comment: Final version. Numbering in main body different different from
previous version. To appear in Proc. Lon. Math. Soc. 25 pages, 7 table
Slopes of modular forms and the ghost conjecture
We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any
p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a
conjecture of Buzzard on classical slopes and more recent conjectures on slopes
"at the boundary of weight space".Comment: 17 pages. 2 figures. Minor changes from v1. Final version. To appear
in IMRN. arXiv admin note: text overlap with arXiv:1607.0465
A remark on non-integral -adic slopes for modular forms
We give a sufficient condition, namely “Buzzard irregularity”,
for there to exist a cuspidal eigenform which does not have integral
-adic slope.Accepted manuscrip
Slopes of Modular Forms and the Ghost Conjecture
We formulate a conjecture on slopes of overconvergent p role= presentation style= box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative; \u3ep-adic cusp forms of any p role= presentation style= box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative; \u3ep-adic weight in the Γ0(N) role= presentation style= box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative; \u3eΓ0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes “at the boundary of weight space.
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Scenes from Exclusive-Or: Back Propagation is Sensitive to Initial Conditions
This paper explores the effect of initial weight selection on feed-forward networks learning simple functions with the badt-propagation technique. W e first demonstrate, through the use of Monte Carlo techniques, that the magnitude of the initial condition vector (in weight space) is a very significant parameter in convergence time variability. In order to further understand this result, additional deterministic experiments were performed. The results of these experiments demonstrate the extreme sensitivity of bade propagation to initial weight configuration
Medicinal Cannabis Use in Sickle Cell Anemia
Approximately 100,000 Americans suffer from sickle cell anemia (SCA), a severe hereditary form of anemia in which red blood cells can mutate into a sickled shape causing severe pain crises that can lead to ED visits, hospitalization, and negatively impact multiple organ systems. Pain crises greatly impact the quality of life for SCA patients. Living with SCA can be stressful and often affects patients’ mental health, causing anxiety or depression (National Heart, Lung, and Blood Institute, 2016). Opioids have been a treatment mainstay for the severe pain caused by SCA but the side effects of opioids, plus the risk of dependence, are issues that have led both patients and researchers to consider medicinal cannabis as a treatment option. While there is limited research addressing the treatment of sickle cell pain with cannabis some research does suggest that cannabis could have a beneficial effect on the management of both chronic pain and acute pain (Choo, Feldstein Ewing, & Lovejoy, 2016; Kroenke & Cheville, 2017). The aim of this study is to evaluate the association between medicinal cannabis use and quality of life for individuals with SCA. The primary goal of this pilot study is to gather a cohort of participants and administer a baseline survey that will be used in a larger study. The goal of the larger study is to assess the impact of medicinal cannabis available through Pennsylvania’s Department of Health-approved dispensaries in Philadelphia on the quality of life for individuals with sickle cell anemia (SCA)
An Enhanced Model for Managing Change in Organizations
Change has become a “way of life” in organizations. The pace of change has increased substantially in recent years as a result of issues such as the pressures of global competition the impact of the Internet, customer demands and ever changing enhancement of technical capabilities. These changes affect what people do and how they fulfill their responsibilities, and therefore, there are varied reactions Historically, failures in change implementation have not been attributable to a lack of technical feasibility and functionality but instead have been the result of employee resistance. The difficulty of implementing organizational change has presented an ongoing challenge to managers. As we anticipate the future, paramount technological changes and shifts in strategies as a result of innovations such as cloud computing, social networks, and smart phones are on the horizon, all of which provide numerous opportunities for marketers. Customer relationship management (CRM implementation in particular, warrants consideration of a change management strategy. This paper reviews severa successful change management and implementation strategies that have been utilized to address technologica change and proposes an enhanced model to guide managers as they deal with technology-based organizational changes
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