Pure and Applied Mathematics Quarterly

Volume 19 (2023)

Number 1

Special Issue in honor of Don Zagier

Guest editors: Benedict H. Gross, Ken Ono, and Fernando Rodriguez Villegas

Contents

Preface

Ken Ono and Fernando Rodriguez Villegas

pp. 1-2

Working with Don

Benedict H. Gross

pp. 3-6

On $p$-integrality of instanton numbers

Frits Beukers and Masha Vlasenko

pp. 7-44

Span of restriction of Hilbert theta functions

Gabriele Bogo and Yingkun Li

pp. 61-83

Generating Picard modular forms by means of invariant theory

Fabien Cléry and Gerard van der Geer

pp. 95-147

Moufang patterns and geometry of information

Noemie Combe, Yuri I. Manin, and Matilde Marcolli

pp. 149-189

Indefinite theta series: the case of an $N$-gon

Jens Funke and Stephen Kudla

pp. 191-231

Congruences via fibered motives

Vasily Golyshev and Duco van Straten

pp. 233-265

On finite multiple zeta values of level two

Masanobu Kaneko, Takuya Murakami, and Amane Yoshihara

pp. 267-280

On squares of Hecke eigenforms

Winfried Kohnen

pp. 281-297

Distribution of values of Gaussian hypergeometric functions

Ken Ono, Hasan Saad, and Neelam Saikia

pp. 371-407