TY - JOUR
T1 - Hypergeometric functions over finite fields
AU - Greene, John
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1987/5
Y1 - 1987/5
N2 - In this paper the analogy between the character sum expansion of a complex-valued function over GF(q) and the power series expansion of an analytic function is exploited in order to develop an analogue for hypergeometric series over finite fields. It is shown that such functions satisfy many summation and transformation formulas analogous to their classical counterparts.
AB - In this paper the analogy between the character sum expansion of a complex-valued function over GF(q) and the power series expansion of an analytic function is exploited in order to develop an analogue for hypergeometric series over finite fields. It is shown that such functions satisfy many summation and transformation formulas analogous to their classical counterparts.
UR - http://www.scopus.com/inward/record.url?scp=84967791488&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84967791488&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1987-0879564-8
DO - 10.1090/S0002-9947-1987-0879564-8
M3 - Article
AN - SCOPUS:84967791488
SN - 0002-9947
VL - 301
SP - 77
EP - 101
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 1
ER -