12 citations · 42 across the 29 of their papers we have counts for
34 papers
A note on the integrality of mirror maps
Alan Adolphson, Steven Sperber
We give a class of examples of -hypergeometric systems that display integrality of mirror maps. Specifically, these systems have solutions and $\logλ^l +…
Symmetric Power L-functions of the hyper-Kloosterman Family
C. Douglas Haessig, Steven Sperber
The symmetric power L-function of the hyper-Kloosterman family is a rational function over the integers. Its degree and complex absolute values of its zeros and poles are now known…
On Monomial Deformations of Generalized Delsarte Polynomials
Alan Adolphson, Steven Sperber
By a generalized Delsarte polynomial we mean a Laurent polynomial whose exponent vectors are linearly independent. We consider certain monomial deformations of generalized Delsarte…
The Dwork-Frobenius operator on hypergeometric series
Alan Adolphson, Steven Sperber
We describe the action of the Dwork-Frobenius operator on certain -hypergeometric series. As a consequence, we obtain an integrality result for the coefficients of those series.…
On solutions of codimension-one -hypergeometric systems
Alan Adolphson, Steven Sperber
By a codimension-one system we mean a system whose lattice of relations has rank one. We consider codimension-one -hypergeometric systems and explicitly construct some of the lo…
-hypergeometric series and a -adic refinement of the Hasse-Witt matrix
Alan Adolphson, Steven Sperber
We identify the -adic unit roots of the zeta function of a projective hypersurface over a finite field of characteristic as the eigenvalues of a product of special values of…