Higher congruence companion forms
Higher correlations of divisor sums related to primes. I: Triple correlations.
Higher degree Harrison equivalence and Milnor -functor
Higher Dimensional Dedekind Sums.
Higher dimensional Dedekind sums in function fields
Higher dimensional simple knots and minimal Seifert surfaces.
Higher fields of norms and -modules.
Higher Level Reduced Witt Rings of Skew Fields.
Higher Mahler measure of an n-variable family
We prove formulas for the k-higher Mahler measure of a family of rational functions with an arbitrary number of variables. Our formulas reveal relations with multiple polylogarithms evaluated at certain roots of unity.
Higher Mahler measures and zeta functions
Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
We present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a -adic factorization method based on Newton polygons of higher order. The running-time and memory requirements of the algorithm appear to be very good.
Higher order invariants in the case of compact quotients
We present the theory of higher order invariants and higher order automorphic forms in the simplest case, that of a compact quotient. In this case, many things simplify and we are thus able to prove a more precise structure theorem than in the general case.
Higher order modular forms and mixed Hodge theory
Higher order operations in Deligne cohomology.
Higher ramification in Hensel fields.
Higher regularizations of zeros of cuspidal automorphic -functions of
We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic -functions of over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.
Higher regulators and Hecke L-series of imaginary quadratic fields I.
Higher-order Lucas numbers.
Hilbert Modular Forms for the Field Q (...|
Hilbert Modular Surfaces and the Classification of Algebraic Surfaces.