Browsing by Author "Tu, Fang-Ting"

Now showing 1 - 4 of 4

ALGEBRAIC TRANSFORMATIONS OF HYPERGEOMETRIC FUNCTIONS AND AUTOMORPHIC FORMS ON SHIMURA CURVES
(2013-12-01)
Tu, Fang-Ting
;
Yang, Yifan
;
應用數學系
;
Department of Applied Mathematics
In this paper, we will obtain new algebraic transformations of the F-2(1)-hypergeometric functions. The main novelty in our approach is the interpretation of identities among F-2(1)-hypergeometric functions as identities among automorphic forms on different Shimura curves.
DEFINING EQUATIONS OF X(0)(2(2n))
(2009-03-01)
Tu, Fang-Ting
;
Yang, Yifan
;
應用數學系
;
Department of Applied Mathematics
In this note we will obtain defining equations of modular curves X(0)(2(2n)). The key ingredient is a recursive formula for certain generators of the function fields on X(0)(2(2n)).
ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD
(2011-08-01)
Tu, Fang-Ting
;
應用數學系
;
Department of Applied Mathematics
Let K be a non-Archimedean local field. In this paper, we first show that if an order in M(2, K) is the intersection of (finitely many) maximal orders in M(2, K), then it is the intersection of at most three maximal orders. Using this result, we obtain a complete classification of orders in M(2, K) that are intersections of maximal orders.
Twisted Kloosterman sums
(2015-02-01)
Lin, Yi-Hsuan
;
Tu, Fang-Ting
;
應用數學系
;
Department of Applied Mathematics
In this report, we prove identities among the second, third and fourth twisted moments of twisted Kloosterman sums, and certain hypergeometric functions over finite fields. In some cases, the moments can be expressed in terms of Hecke characters of imaginary quadratic fields. (C) 2014 Elsevier Inc. All rights reserved.