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4 papers · 1 filter
Exponential sums nondegenerate relative to a lattice
Alan Adolphson, Steven Sperber
Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We re…
On the explicit construction of higher deformations of partition statistics
Kathrin Bringmann
The modularity of the partition generating function has many important consequences, for example asymptotics and congruences for . In a series of papers the author and Ono \c…
A two-variable refinement of the Stark conjecture in the function field case
Greg W. Anderson
We propose a conjecture refining the Stark conjecture St(K/k,S) (Tate's formulation) in the function field case. Of course St(K/k,S) in this case is a theorem due to Deligne and in…
Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an artinian local ring
Greg W. Anderson, Fernando Pablos Romo
The notion of determinant groupoid is a natural outgrowth of the theory of the Sato Grassmannian and thus well-known in mathematical physics. We briefly sketch here a version of th…