vi

CONTENTS

3-regular partitions and a modular

K3

surface

J.

LOVEJOY AND

D.

PENNISTON

177

A new look at Heeke's indefinite theta series

A.

POLISHCHUK

183

A proof of a multivariable elliptic summation formula conjectured by

Warnaar

H.

RosENGREN

193

Multilateral transformations of q-series with quotients of parameters that

are nonnegative integral powers of q

M.

SCHLOSSER

203

Completeness of basic trigonometric system in £P

S.

K.

SUSLOV

229

The generalized Borwein conjecture. I. The Burge transform

S.

0.

WARNAAR

243

Mock 19-functions and real analytic modular forms

S. P. ZWEGERS

269