Automorphic Forms: Research in Number Theory from Oman

Preface.- On formal series of Jacobi forms and Borcherds products.- Finite or Infinite Number of Solutions of Polynomial Congruences in two Positive Integer Variables.- On the genus version of the basis problem II: The case of oldforms.- Restrictions of Jacobi Forms of Several Variables with special emphasis on Quaternionic Jacobi Forms.- Additive and multiplicative lifting properties of the Igusa modular form.- On the special values of certain L-series related to half-integral weight modular forms.- On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications.- Borcherds lift on the paramodular group of level 3.- On the proportion of quadratic twists for non-vanishing and vanishing central values of L-functions attached to primitive forms.- On the Existence of Hermitian Self-Dual Extended Abelian Group Codes.- On p-adic properties of Siegel modular forms.- Bessel periods of theta lifts to GSp(1,1) and central values of some L-functions of convolution type.- Intersections of two walls of the Gottschling fundamental domain of the Siegel modular group of genus two.- Non-vanishing of L-functions associated to cusp forms of half-integral weight.- The Restriction of Octonionic Theta Constants to the Quaternionic Half-space.- Hermitian modular forms of degree 2 over the Eisenstein integers.