The 1-2-3 of Modular Forms
... Modular Forms and Their Applications Don Zagier Max - Planck - Institut für Mathematik , Vivatsgasse 7 , 53111 Bonn , Germany E - mail : zagier@mpim-bonn.mpg.de Foreword These notes give a brief introduction to a number of topics in the ...
Introduction to Modular Forms
... modular forms . Conversely , it was proved by Serre and Deligne that to every holomorphic form of weight 1 it is possible to associate an " odd " 2 - dimensional representation of the Galois group over the rationals . Historically , it ...
Modular Curves and Abelian Varieties
... modular curve in question , in such a way that it makes sense in arbitrary characteristic . By general results on representability of moduli problems one then obtains a model of the modular curve over the ring of integers of a subfield ...
Group Properties of the Residue Classes of Certain Kronecker Modular Systems and Some Related Generalizations in Number Theory
... modular system Q , not equivalent to ( 1 ) , contains one and only one absolute prime modular system P. From the preceding we see that when we break up a modular system M into its simple factors , a number of the systems Q obtained may ...
Innovative Modular Solutions V. Hazel Crest School District 152.5
... MODULAR SOLUTIONS Attorneys for Innovative Modular Solutions ORAL ARGUMENT REQUESTED ARGUMENT This reply brief is submitted by Plaintiff - Appellant. JANUARY TERM 12 NOVEMBER TERM INNOVATIVE MODULAR SOLUTIONS , an Illinois corporation ...
Modular Invariants of a Quadratic Form for a Prime Power Modulus
... modular invariant it is called a characteristic modular invariant . For example , I is a characteristic invariant for the class Co. Let ē , ri , m ; ( i = 1 , .... , k ) be a set of consistent values that define the class Cem.R. Among ...
The Algebraic Theory of Modular Systems
... modular equation as con- vertible terms , and use that term in each case which seems best suited to the context . A module is completely determined by ... MODULAR EQUATIONS Number of modular equations of an H-module of principal class.
The Subgroups of the Generalized Finite Modular Group
... modular group Γ leave invariant a modular function J ( w ) . The transcendental modular equation J = J ( w ) has algebraic resolvents , modular equations , with Galois - groups G The group Γ [ Ω ] , for field Ω of degree > 1 , is ...
A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms.
Formal Modular Invariants with Application to Binary Modular Covariants ...
... modular invariants affects the actual computations . Dickson ‡ has given a very simple and elegant theory of modular invariants . No theory has been developed for formal invariants . However , there exists between the two subjects an ...
Proof of the Finiteness of the Modular Covariants of a System of Binary Forms and Cogredient Points
... modular covariant K1 of the forms and the points there exists a modular covariant K ' that has the same leader ( defined in § 6 ) and the same index as K1 has and that is a polynomial in covariants from a definite finite set S of modular ...
Introduction to Modular Forms
From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms.
Prefab Architecture
"Prefab Architecture . . . is beyond theory, and beyond most of what we think we know about pods, containers, mods, and joints. This book is more than 'Prefabrication 101.
Modular Forms and Galois Cohomology
Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.
Two Letters to the Editor of the Athenæum, on a British modular standard of length
... Modular System” of measure requires no Act of Parliament. It is so easy to convert “Imperial standard” lengths, of whatever denomination, into “ British modular” lengths of the same denomination by subtracting (or modular into imperial ...
The Algebraic Theory of Modular Systems
No description available.
Lectures on Modular Forms
New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler.
Modular Forms of Weight 1/2 on Products of P-adic Upper Half Planes
... modular forms in his thesis ( [ Rh ] ) . In this thesis we begin to extend the study to include modular forms of weight one half . In the second chapter the upper half planes , the groups , and the group actions that are fundamental to ...
The Madison Colloquium 1913
... Modular Covariants . In contrast with the case of algebraic forms , the classes of modular forms are com- pletely characterized by rational integral invariants . Such invariants therefore suffice to express all invariantive ...