"This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of num…
In this paper we study the trace ring of [italic]m generic 2 by 2 matrices [capital Greek]Pi[italic subscript]m,₂. It is shown that it is a polynomial ring over the generic Clifford algebra for [italic]m-ary quadratic forms of rank [less than or equal to] 3. We prove that it is …
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and'fun'subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, aims…
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and "fun" subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, ai…
The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of \mathrm{GL}_n over \mathbb Q of any given infinitesimal character, for essentially all n \leq 8. For this, they compute the dimensions of spaces of level 1 automorp…
