12 citations · 32 across the 26 of their papers we have counts for
29 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 +…
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…
On the integrality of hypergeometric series whose coefficients are factorial ratios
Alan Adolphson, Steven Sperber
We use the Dwork-Frobenius operator to prove an integrality result for -hypergeometric series whose coefficients are factorial ratios. As a special case, we generalize one direc…