1.1. Our purpose in this note is to study the limiting distribution of zeros of modular forms. We review some definitions: A modular form of weight k for SL2(Z) is a holomorphic function on the upper half-plane H, transforming as f( cz+d ) = (cz + d)f(z), for all ( a b c d ) ∈ SL2(Z) (this forces k to be even), and “holomorphic at the cusp” (see § 2.1). A form is cuspidal if it vanishes at the ...

Plato laboured hard to characterize the di erence between genuine knowledge and mere belief He may be read as having claimed the knowledge is justi ed true belief Meno e a Theaetetus c d This account became the standard analysis of knowledge for more than two millennia Since knowledge entails belief on the standard account any attempt to fathom out the founda tions of knowledge must include an ...

OBJECTIVE The objective of this study was to determine if second curettage was associated with a decreased need for the number of chemotherapy treatments compared to usual care. METHODS A pilot randomized controlled clinical trial was designed at Motahhari Referral Hospital in 2014. Fifty-two patients with low risk, nonmetastatic gestational trophoblastic neoplasm were assigned randomly to tw...

Now pick any γ = ( a b c d ) in SL2(Z). Suppose c 6= 0. If |a| ≥ |c|, write a = cq + r with 0 ≤ r < |c|. Then T−qγ has upper left entry a − qc, which is smaller in absolute value than the lower left entry c. Applying S switches these entries (with a sign change), and we apply the division theorem in Z again if the lower left entry is nonzero. Eventually multiplication of γ on the left by enough...

Patients with chalazia were randomly allocated to treatment by intralesional triamcinolone injection or incision and curettage. Incision and curettage resulted in a significantly higher rate of resolution by two weeks after treatment.

critical pulmonary valve stenosis (cpvs) and atrial septal defect (asd) is an uncommon form of congenital heart disease. concurrent transcatheter pulmonary valvuplasty and closure of secundum atrial septal defect appears to be an interesting alternative to surgical correction. we present the simultaneous balloon valvuloplasty of critical pulmonary stenosis (ps) with supra systemic right ventric...

ObjectiveTo determine if high alpha-fetoprotein (AFP) level in vaginal blood collected on a sanitary pad can assist with detecting an active miscarriage.DesignA prospective cohort study.SettingAcademic medical center.Patient(s)Five groups were evaluated: women miscarriage, pregnancy of unknown location, completed miscarriage or extrauterine (EUP), ongoing pregnancy, and undergoing elective dila...

Voluntary Stewardship and the Canadian Species at Risk Act: Exploring Rancher Willingness to Support Species at Risk in the Canadian Prairies Allison E. Henderson a , Maureen Reed a b & Stephen K. Davis c d a School of Environment and Sustainability, University of Saskatchewan , Saskatoon , Saskatchewan , Canada b Department of Geography and Planning , College of Arts and Science, University of...