The divisor problem for arithmetic progressions with small modulus
The divisor problem for binary cubic forms
We investigate the average order of the divisor function at values of binary cubic forms that are reducible over and discuss some applications.
The divisor problem for (k, r)-integers. II.
The divisors of integers I
The divisors of integers II
The Doi-Naganuma Lifting of Quaternary Theta Series.
The Drinfeld Modular Jacobian has connected fibers
We study the integral model of the Drinfeld modular curve for a prime . A function field analogue of the theory of Igusa curves is introduced to describe its reduction mod . A result describing the universal deformation ring of a pair consisting of a supersingular Drinfeld module and a point of order in terms of the Hasse invariant of that Drinfeld module is proved. We then apply Jung-Hirzebruch resolution for arithmetic surfaces to produce a regular model of which, after contractions in...
The duality of cusp singularities.
The efficiency of approximating real numbers by Lüroth expansion
For any , let be its Lüroth expansion. Denote by the partial sum of the first terms in the above series and call it the th convergent of in the Lüroth expansion. This paper is concerned with the efficiency of approximating real numbers by their convergents in the Lüroth expansion. It is shown that almost no points can have convergents as the optimal approximation for infinitely many times in the Lüroth expansion. Consequently, Hausdorff dimension is introduced to quantify the set of...
The Ehrhart polynomial of a lattice -simplex.
The Eichler Cohomology of a Kleinian Group.
The Eichler Commutation Relation for theta series with spherical harmonics
It is well known that classical theta series which are attached to positive definite rational quadratic forms yield elliptic modular forms, and linear combinations of theta series attached to lattices in a fixed genus can yield both cusp forms and Eisenstein series whose weight is one-half the rank of the quadratic form. In contrast, generalized theta series - those augmented with a spherical harmonic polynomial - will always yield cusp forms whose weight is increased by the degree of the...
The Eisenstein descent on J0 (N).
The Eisenstein family for the modular group along closed geodescis.
The EKG sequence.
The Elementary Theory of Algebraic Fields of Finite Corank.
The Elements of K2 (...s).
The eleventh power character of 2.
The EM Algorithm applied to determining new limit points of Mahler measures
The enumeration of simple permutations.