Λ-adic modular symbols over totally real fields∗† Baskar Balasubramanyam‡ and Matteo Longo § Abstract We consider an Hida family of nearly ordinary cusp forms on…
Documenta Math. 301 Λ-Adic Euler Characteristics of Elliptic Curves To John Coates on the occasion of his sixtieth birthday Daniel Delbourgo Received: July 11, 2005 Revised:…
AN N A L E S D E L’INSTI T U T F O U R IE R ANNALES DE L’INSTITUT FOURIER Ami FISCHMAN On the image of Λ-adic Galois representations Tome 52, no 2 2002, p. 351-378.…
Hilbert Modular Varieties - an Introduction Eyal Goren McGill University The Second Montreal-Toronto Workshop in Number Theory, Fields Institute, April 9-10, 2011 1 32 The…
On p-Adic Estimates of Weights in Abelian Codes over Galois Rings Thesis by Daniel J Katz In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy…
Title Page Submitted by a Candidate from a GSAS Department On Λ-adic Saito-Kurokawa Lifting and its Application Zhi Li Submitted in partial fulfillment of the Requirements…
On alpha-adic expansions in Pisot bases 1 Petr Ambrož a,b,2 and Christiane Frougny b,c aDepartment of Mathematics, FNSPE, Czech Technical University, Czech Republic bLIAFA,…
HILBERT MODULAR FORMS: MOD P AND P-ADIC ASPECTS F. ANDREATTA AND E. Z. GOREN ABSTRACT. We study Hilbert modular forms in characteristic p and over p- adic rings. In the characteristic…
ΠΑΡΟΥΣΙΑΣΗ ΤΩΝ ΒΑΣΙΚΩΝ ΣΥΝΑΡΤΗΣΕΩΝ ΣΤΟ MS-EXCEL Πέτρος Μανεσιώτης ΒΑΣΙΚΕΣ ΣΥΝΑΡΤΗΣΕΙΣ SUM AVERAGE COUNT…
Trigonometric Functions Trigonometric Functions Of Any Angle Unit Circle Rationale Trig Function of Any Angle Let θ be an angle whose terminal side contains the point (4,…
Trigonometric Functions By Daria Eiteneer Topics Covered: Reminder: relationship between degrees and radians The unit circle Definitions of trigonometric functions for a…
Slide 1 Sequence and Series of Functions Slide 2 Sequence of functions Definition: A sequence of functions is simply a set of functions u n (x), n = 1, 2,... defined on a…
Lecture 3 Convex functions (Basic properties; Calculus; Closed functions; Continuity of convex functions; Subgradients; Optimality conditions) 3.1 First acquaintance Definition…
Goal: Compute vector partition function φA(b) := # { x ∈ Zd ≥0 : Ax = b } (defined for b in the nonnegative linear span of the columns of A) Vector-partition
ΚΕΙΜΕΝΟΥ CONCATENATE(Text1;Text2;Text3;…;Text30) EXACT(text1;text2) FIND(find_text; within_text; start_num) LEFT(text;num_chars) LEN(text) LOWER(text) MID(text;…
Preliminaries About FunctionsAugust 21, 2012 Navigation Symbols ∈, ”in” or ”an element of”, 1ε {0, 1, 2, 3, 4} ⊂, ”subset of”
ΣΜ. ΠΛΗΡΟΦΟΡΙΚΗ ΑΠΘ Σ. ΔΗΜΗΣΡΙΑΔΗ 7 Π Ειςαγωγή ςτην Python 7 ΣΜ. ΠΛΗΡΟΦΟΡΙΚΗ ΑΠΘ Σ. ΔΗΜΗΣΡΙΑΔΗ…
Linearly independent functions Definition The set of functions {φ1, . . . , φn} is called linearly independent on [a, b] if c1φ1(x) + c2φ2(x) + · ·
Definition Reduced form VAR Reduced form VAR Trick Blanchard-Quah Critique General definition IRFs • The IRF gives the jth-period response when the system is shocked
Derivatives of circular functionsDifferentiating sine functions • The derivative of the sine function is the cosine function. gradient = 0 gradient = 0 gradient = -1