Dermot McCarthy. Transformations of well-poised hypergeometric functions over finite fields. Finite Fields Appl., 18(6):1133-1147, 2012.McCarthy, D.: Transformations of well-poised hypergeometric functions over
Tu. Hypergeometric functions over finite fields. arXiv:1510.02575J.G. Fuselier, L. Long, R. Ramakrishna, H. Swisher, and F.-T. Tu, Hypergeometric functions over finite fields, Preprint arXiv: 1510.02575 [math.NT] (2015).J. Fuselier, L. Long, R. Ramakrishna, H. Swisher, F.-T. Tu,...
Hypergeometric functions over finite fields视频教程 龙玲 3讲 美国路易斯安那州立大学的相关介绍 第1讲 Hypergeometric functions over finite fields(一).mp4 第2讲 Hypergeometric functions over finite fields(二).mp4 第3讲 Hypergeometric functions over finite fields(三).mp4 ...
Appell series over finite fields and Gaussian hypergeometric series 2021, Research in Mathematical Sciences Four-point functions in momentum space: conformal ward identities in the scalar/tensor case 2020, European Physical Journal C Special function identities from superelliptic Kummer varieties 2017, Asia...
2. 3.1 Hypergeometric functions over finite fields We begin by defining the finite-field analogue of the generalized hypergeometric function (defined in Sect. 2.4); we follow Beukers–Cohen–Mellit [3]. Let q = pr be a prime power. We use the convenient abbreviation q× := q − 1. ...
The connections between Feynman integrals and hypergeometric functions was inves- tigated over decades and a comprehensive summary of these investigations can be found in [21]. Horn hypergeometric functions also appear often in the Mellin-Barnes approach and have been studied intensively by other ...
We survey the theory of vector-valued modular forms and their connections with modular differential equations and Fuchsian equations over the three-punctured sphere. We present a number of numerical examples showing how the theory in dimensions 2 and 3 leads naturally to close connections between mod...
M. V. Vega, Hypergeometric functions over finite fields and their relations to algebraic curves, Int. J. Number Theory (to appear). Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonit-M. V. Vega, Hypergeometric functions over finite fields and their relations to ...
Moreover, building upon the mentioned studies [35,36,37,55], this paper investigates the relationship between discrete multiple orthogonal polynomials,-functions, generalized hypergeometric series, and specific equations such as Laguerre–Freud equations and Toda type equations. ...
q-Rook Polynomials and Matrices over Finite Fields 1998, Advances in Applied Mathematics Show abstract Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation 2018, Integral Transforms and Special Functions Monomial and toric ideals associated to Ferre...