Number Theory: New York Seminar 1989–1990

Front Matter....Pages i-viii
Moduli of Abelian Varieties....Pages 1-11
Classical Constants and Functions: Computations and Continued Fraction Expansions....Pages 13-74
Some Special Complex Multiplications in Two Variables Using Hilbert Singular Moduli....Pages 75-83
A Numerical Survey of the Reduction of Modular Curve Genus by Fricke’s Involutions....Pages 85-104
Conjectures Relating to a Generalization of the Ramanujan Tau Function....Pages 105-118
The Set of Multiples of a Short Interval....Pages 119-128
Comparison of Maaß Wave Forms....Pages 129-147
Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields by Integer Lattice Reduction....Pages 149-202
On Certain q -Polynomials....Pages 203-210
A Gap Theorem for Differentially Algebraic Power Series....Pages 211-214
Class Number Formulas for Imaginary Pure Quartic Number Fields....Pages 215-227
Rational Desingularization of a Curve Defined Over a Finite Field....Pages 229-250
Special Values of Zeta-Functions of Fermat Varieties over Finite Fields....Pages 251-275