A constraint for twist equivalence of cusp forms on GL$(n)$

ON THE MULTIPLICITY OF THE SPECTRUM OF THE SPACE OF CUSP FORMS OF GLn

In this note I wish to announce certain preliminary results concerning a class of special functions arising in the theory of representations of groups defined over local fields. Before the preparation of this manuscript, the author obtained a copy of the recent paper [4] of I. M. Gelfand and D. A. Kajdan. Several of the results announced here are proved in their paper. I hope to indicate below ...

On the Coeecients of Cusp Forms

Families of Cusp Forms

1. Families of cusp forms and the local equidistribution problem 2 2. Families of L-functions 6 3. Analogy with sieve 8 4. Examples of local equidistribution 8 5. Families of cusp forms according to Sarnak’s letter 11 6. Families of L-functions according to Conrey, Farmer, Keating, Rubinstein and Snaith 13 7. Direct consequences of strong local equidistribution 14 8. Quantitative local equidist...

Maaß Cusp Forms on SL(2,R)

The present text is course material for a minicourse on Maaß cusp forms I gave at Metz University in March 2005 as a part of the Sokrates partnership activities between the universities in Metz and Paderborn. This course may be viewed as the first joint activity in the context of the new International Research Training Group " Geometry and Analysis of Symmetries " (see http://irtg.upb.de) locat...

a study on thermodynamic models for simulation of 1,3 butadiene purification columns

attempts have been made to study the thermodynamic behavior of 1,3 butadiene purification columns with the aim of retrofitting those columns to more energy efficient separation schemes. 1,3 butadiene is purified in two columns in series through being separated from methyl acetylene and 1,2 butadiene in the first and second column respectively. comparisons have been made among different therm...