Preface

Todd Cochran e an d Rober t Dressie r note d th e commo n interest s o f numbe r

theorists an d harmoni c analyst s i n thei r department , an d propose d a n NSF -

CBMS conferenc e whos e purpos e woul d b e t o furthe r th e cross-fertilizatio n be -

tween thes e tw o areas . Th e conferenc e too k plac e durin g th e wee k Ma y 21-25,

1990, o n th e campu s o f Kansa s Stat e University , i n Manhatta n ("Th e Littl e

Apple"), Kansas . Th e conferenc e wa s funde d b y NS F Gran t DMS-8912917.

In addition , NS A Gran t MDS-904-90-14-401 8 provide d th e trave l expense s o f a

number o f graduates students , enablin g the m t o atten d th e conference .

In additio n t o th e lecture s reporte d upo n i n thi s volume , th e conferenc e fea -

tured th e followin g nin e major addresses :

Speaker

J. Bec k

(Rutgers U. )

P. X . Gallaghe r

(Columbia U. )

H. Iwanie c

(Rutgers U. )

T. W . Korne r

(Cambridge U. )

J.-F. Mel a

(U. Paris XIII )

I. Z . Ruzs a

(MTA, Budapest )

B. Saffar i

(U. Paris XI )

G. Tenenbau m

(U. Nancy )

R. C . Vaugha n

(Imperial College )

Title

New Applications of the Roth-Haldsz Method in

Irregularities of Distribution

Duality for long second Moments of

Short Interval Densities

Estimates for coefficients of L-functions

Universal Fourier Series

Remarkable Subgroups of the Circle

Nouveaux sets of Trigonometric Polynomials:

Halfway between Random and Regular

An Account of extremal Problems on Polynomials

with restricted Coefficients

Fourier Transforms of Divisor Distributions:

A Survey of Applications

The Upper Bound for G(k) in Waring's Problem