… Another motivating idea for weak modularity is that while it does not make a function f fully
SL2(Z)invariant, at least f(τ) and f(γ(τ)) always have the same zeros and poles since the factor …

… If F is a field we let F denote a separable closure, Fab the maximal subextension of F
which is abelian over F and GF the Galois group Gal(F /F). If F0 is a p-adic field (ie a finite …

… lies in the intersection of any two of these spaces these Hecke actions on f … , f or f [T1,
whenever the action on f is defined and k and N are clear from the context. Similarly, we write f or f …

… For the same reason Diamond is grateful to the participants in an informal seminar at
Columbia University in 1993-94, and Taylor thanks those attending the Oxford Number Theory …

… F. For an 0-algebra A, we sometimes use to denote the Teichmfiller lift kX ,Ox -, Ax. Assume
that F … We shall later assume F is sufficiently large in other respects, but the requirements will …

… supported by numerical evidence collected by Dembélé, Diamond, and Roberts [19]. Loosely
… If F is a field of characteristic l and V is an F-representation of G, then we define V (n) to be …

… Choose a subfield F ⊆ Ql with finite degree over Ql and with absolute ramification index
e = e(F) ≤ l − 1. We write A for the valuation ring of F, and IF for the inertia subgroup of GF …

Synthetic cannabinoid agonists are chemically diverse with multiple analogs gaining
popularity as drugs of abuse. We report on the use of thin layer chromatography, gas …

… Let f be a newform of weight k ⩾ 2, level N with coefficients in … of the motive M associated
to f. We carefully discuss the … F is a number field, we let IF denote the set of embeddings F …

Pubertal gynecomastia is thought to result from transient imbalances between estrogen and
androgen concentrations. Anastrozole (ARIMIDEX), a potent and selective aromatase …