automorphic


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automorphic

[¦ȯd·ō¦mȯr·fik]
(petrology)
Of minerals in igneous rock bounded by their own crystal faces. Also known as euhedral; idiomorphic.
References in periodicals archive ?
The 2016 meeting of the biennial mathematics school was in Sarajevo, Bosnia and Herzegovina, and the 29 lectures consider such aspects of automorphic forms as noncommutative modular symbols and Eisenstein series, an algebraic and analytic approach to spinor exceptional behavior in translated lattices, modular forms constructed from moduli of elliptic curves with applications to explicit models of modular curves, an explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups, and representations by quadratic forms and the Eichler commutative relation.
We recall that a function f(x) on [R.sub.>0] is an absolute automorphic form when it satisfies the absolute automorphy
The study of almost periodic and almost automorphic type solutions to fractional differential equations was initiated by Araya and Lizama [11].
The main result of paper, Theorem 18, enables one to consider asymptotically periodic solutions, asymptotically almost periodic solutions, and asymptotically almost automorphic solutions of certain classes of abstract integrodifferential equations in Banach spaces.
(w) Stage 2 pyrite containing automorphic stage 1 arsenopyrite is replaced by later stage 2 sphalerite to form a skeletal texture.
The landscape of the Krasnodar Krai is automorphic. It is an additional reason for using phosphogypsum for the reclamation of chernozem without ecological adverse effects of [Cd.sup.2+] because of rather high ionic strength and the corresponding ions assosiation of a concentrated soil solution (Visconti and de Paz, 2012; Amakor et al., 2013).
We regard the direct sum of [P.sub.[omega]](X) and [C.sub.0](X) as the space of asymptotically periodic functions A[P.sub.[omega]](X), the direct sum of AP(X) and [C.sub.0](X) as the space of asymptotically almost periodic functions AAP(X), the direct sum of [AA.sub.c](X) and [C.sub.0](X) as the space of asymptotically compact almost automorphic functions, and the direct sum of AA(X) and [C.sub.0](X) as the space of asymptotically almost automorphic functions.
Gillespie, Superposition of Zeroes of Automorphic L-Functions and Functoriality, Univ.
Objective: The Langlands program is a conjectural framework for understanding the deep relations between automorphic forms and arithmetic.
(1964) Discontinuous Groups and Automorphic Functions.
A whole chapter is devoted to "An Automorphic Reading of Thomas Pynchon's Against the Day (Interrupted by Elliptical Reflections on Mason & Dixon)," and Harris also discusses a number of films (e.g., A Beautiful Mind and Pi) and plays (e.g., Proof) that touch on mathematics.
Along these lines, Poincare's and Klein's contributions to the Theory of Automorphic Functions played a critical role in the later formulation of Uniformization Theorem (Weyl, 2010).

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