July 25, Morning  | 
  
  
   9:00—10:15  | 
   注册  | 
  
  
   主席  | 
   Ruiming Zhang  | 
  
  
   10:15—10:30  | 
   开幕  | 
  
  
   
  | 
   开场:  | 
   陈永川教授、Mourad Ismail  | 
  
  
   10:30—11:00  | 
   茶歇时间  | 
  
  
   11:00—12:00  | 
   Peter Paule  | 
   q-Series andcomputeralgebra 1: Zeilbergersummation  | 
  
  
   12:00—14:00  | 
   午餐  | 
  
  
   July 25, Afternoon  | 
  
  
   主席  | 
   Mourad Ismail  | 
  
  
   15:00—16:00  | 
   Peter Paule  | 
   q-Series andcomputeralgebra 2: Zeilberger’sholonomicparadigm  | 
  
  
   16:00—16:30  | 
   茶歇时间  | 
  
  
   16:30—17:00  | 
   Long Li  | 
   Appellseries  overfinitefields  | 
  
  
   18:00—  | 
   晚宴  | 
  
  
   July 26, Morning  | 
  
  
   9:00—9:30  | 
   注册  | 
  
  
   主席  | 
   Jyh-Hao Lee  | 
  
  
   9:30—10:30  | 
   Peter Paule  | 
   q-Series and computer algebra 3: The Rogers-Ramanujan functions  | 
  
  
   10:30—11:00  | 
   茶歇时间  | 
  
  
   11:00—12:00  | 
   CarstenSchneider  | 
   Symbolicsummation and (q-)applications  | 
  
  
   12:00—14:00  | 
   午餐  | 
  
  
   July 26, Afternoon  | 
  
  
   主席  | 
   Zhi-Hong Sun  | 
  
  
   15:00—16:00  | 
   PeterPaule  | 
   q-Series andcomputeralgebra 4: Ramanujan’spartitioncongruences  | 
  
  
   16:00—16:30  | 
   茶歇时间  | 
  
  
   16:30—17:00  | 
   Su-Dan Wang  | 
   Asymmetricgeneralization of anidentity of Andrews and Yee  | 
  
  
   17:30—  | 
   晚餐  | 
  
  
   July 27, Morning  | 
  
  
   9:00—9:30  | 
   注册  | 
  
  
   主席  | 
   Chun-Kong Law  | 
  
  
   9:30—10:30  | 
   Michael Mertens  | 
   Classicalmodular forms I  | 
  
  
   10:30—11:00  | 
   茶歇时间  | 
  
  
   11:00—12:00  | 
   Larry Rolen  | 
   Harmonic Maass forms: First results and applications I  | 
  
  
   12:00—14:00  | 
   午餐  | 
  
  
   July 27, Afternoon  | 
  
  
   主席  | 
   KrishnaswamiAlladi  | 
  
  
   15:00—16:00  | 
   Michael Mertens  | 
   Classicalmodular forms II  | 
  
  
   16:00—16:30  | 
   茶歇时间  | 
  
  
   16:30—17:00  | 
   Chuanan Wei  | 
   Partialtheta functionidentities from Wang and Ma’s conjecture  | 
  
  
   17:30—  | 
   晚餐  | 
  
  
   July 30, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Gaurav Bhatnagar  | 
  
  
   9:30—10:30  | 
   Michael Mertens  | 
   Classicalmodular forms III  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Larry Rolen  | 
   Harmonic Maass forms: First results and applications II  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   July 30, Afternoon  | 
  
  
   Chairman  | 
   Xinrong Ma  | 
  
  
   15:00—15:30  | 
   Hsiao-Fan Liu  | 
   Graphicenumerations anddiscretePainlevéequations viarandommatrixmodels  | 
  
  
   15:30—16:00  | 
   Chuan-Tsung Chan  | 
   Graphicenumerations anddiscretePainlevéequations viarandommatrixmodels  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Nian-Hong Zhou  | 
   Asymptoticformulae for Eulerianseries  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   July 31, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Simon Ruijsenaars  | 
  
  
   9:30—10:30  | 
   Mourad Ismail  | 
   Introduction toq-series  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   KrishnaswamiAlladi  | 
   Revisiting the Riemannzetafunction atpositiveeven integers and anewqanalogue  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   July 31, Afternoon  | 
  
  
   Chairman  | 
   Liuquan Wang  | 
  
  
   15:00—15:30  | 
   Yu-Qiu Zhao  | 
   Asymptotics viadifferenceequationmethods: Charlier polynomials  | 
  
  
   15:30—16:00  | 
   Gaurav Bhatnagar  | 
   Thedeterminant of anelliptic Sylvesteresquematrix  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   
  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 1, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Tuen Wai Ng  | 
  
  
   9:30—10:30  | 
   Mourad Ismail  | 
   Introduction toq-series  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Xinrong Ma  | 
   Twogeneralmethods tohypergeometricseries andtheirapplications  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 1, Afternoon  | 
  
  
   Chairman  | 
   Yu-Qiu Zhao  | 
  
  
   15:00—15:30  | 
   Chun-Kong Law  | 
   Dispersion relations of periodic quantum graphs associated with Archimedean tiling  | 
  
  
   15:30—16:00  | 
   Jyh-Hao Lee  | 
   Review of AKNS-ZS system in theset-up of Beals-Coifman—D-barmethod  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Ruiming Zhang)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 2, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Pablo Román  | 
  
  
   9:30—10:30  | 
   Mourad Ismail  | 
   Introduction toq-series  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Zhi-Zheng Zhang  | 
   Multiple basic hypergeometric series and mock theta functions  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 2, Afternoon  | 
  
  
   Chairman  | 
   Haigang Zhou  | 
  
  
   15:00—15:30  | 
   Sin-Hua Lai  | 
   Thefundamentaltheorem of thecurves in the Heisenberggroup  | 
  
  
   15:30—16:00  | 
   Shaoshi Chen  | 
   How togenerate allpossiblerational Wilf-Zeilbergerpairs?  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Ruiming Zhang)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 3, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Chuan-Tsung Chan  | 
  
  
   9:30—10:30  | 
   Tuen Wai Ng  | 
   Hyberbolic Belyimaps and Shabat-Blaschkeproducts  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Ruiming Zhang  | 
   On Fouriertransforms andq-specialfunctions  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 3, Afternoon  | 
  
  
   Chairman  | 
   Hsiao-Fan Liu  | 
  
  
   15:00—15:30  | 
   Xiang-Sheng Wang  | 
   Onquasi-orthogonalpolynomials  | 
  
  
   15:30—16:00  | 
   Jin Wang  | 
   Furtherresults on Andrews-Yee’stwoidentities formockthetafunctions  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Nian-Hong Zhou)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 6, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Xing-Biao Hu  | 
  
  
   9:30—10:30  | 
   Alexei Zhedanov  | 
   Askey-Wilson algebra, algebraic Heun operator and their applications  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Simon Ruijsenaars  | 
   Ordinaryq-differenceequations:From2F1to    and beyond
  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 6, Afternoon  | 
  
  
   Chairman  | 
   Hatice Aslan  | 
  
  
   15:00—15:30  | 
   EnasM. Shehata  | 
   Some types of functions to construct the associated calculi  | 
  
  
   15:30—16:00  | 
   Ernest X.W. Xia  | 
   Arithmetic properties for Ramanujan’s   function
  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Haigang Zhou)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 7, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Ae Ja Yee  | 
  
  
   9:30—10:30  | 
   Alexei Zhedanov  | 
   Askey-Wilson algebra, algebraic Heun operator and their applications  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Shishuo Fu  | 
   Gammaexpansions ofq-Narayanapolynomials,patternavoidance and the (-1)-phenomenon  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 7, Afternoon  | 
  
  
   Chairman  | 
   Ole Warnaar  | 
  
  
   15:00—15:30  | 
   PlamenSimeonov  | 
   Apolynomialblossom for the Askey-Wilsonoperator  | 
  
  
   15:30—16:00  | 
   Nancy S.S. Gu  | 
   Someproblems related tomockthetafunctions  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Simon Ruijsenaars)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 8, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Alexei Zhedanov  | 
  
  
   9:30—10:30  | 
   Ae Ja Yee  | 
   Partition Sieves, Singular Overpartitions, and Truncated partition theorems  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—11:30  | 
   Bing He  | 
   Athetafunctionidentity withapplications  | 
  
  
   11:30—12:00  | 
   Shi-Chao Chen  | 
   Linearcongruences of aclass ofpartitions  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 8, Afternoon  | 
  
  
   Chairman  | 
   Christian Krattenthaler  | 
  
  
   15:00—15:30  | 
   Liuquan Wang  | 
   Moments ofranks, oddranks andk-markedodd Durfeesymbols  | 
  
  
   15:30—16:00  | 
   Research Problems (Pablo Román)  | 
  
  
   16:00—17:00  | 
   
  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 9, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   PlamenSimeonov  | 
  
  
   9:30—10:30  | 
   Christian Krattenthaler  | 
   A transformation formula for elliptic hypergeometric series: three applications  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Ole Warnaar  | 
   Symmetric plane partitions and Gelfand pairs  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 9, Afternoon  | 
  
  
   Chairman  | 
   Zhi-Wei Sun  | 
  
  
   15:00—15:30  | 
   Haigang Zhou  | 
   Countingzeros inquaternionalgebrasusing Jacobiforms  | 
  
  
   15:30—16:00  | 
   Zhi-Hong Sun  | 
   Ramanujan’sthetafunctions andsums oftriangularnumbers  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Zhi-Wei Sun)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 10, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Shishuo Fu  | 
  
  
   9:30—10:30  | 
   Ole Warnaar  | 
   On modular Nekrasov-Okounkov formulas  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Pablo Román  | 
   Burchnall-type identities formatrix-valuedorthogonal polynomials  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 10, Afternoon  | 
  
  
   Chairman  | 
   Ruiming Zhang  | 
  
  
   15:00—15:30  | 
   Victor J.W. Guo  | 
   Someq-congruences withparameters  | 
  
  
   15:30—16:00  | 
   Shuai-Xia Xu  | 
   Laguerreunitary ensembleperturbed by apole in the potential  | 
  
  
   16:00-16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Xinhua Xiong  | 
   Euler’spartition theorem forallmoduli andnewcompanions to Rogers-Ramanujan-Andrews-Gordon identities  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 13, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Katsuhisa Mimachi  | 
  
  
   9:30—10:30  | 
   Masatoshi Noumi  | 
   Elliptichypergeometric integrals  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Kathy Q.Ji  | 
   Inequalities onranks andcranks ofpartitions  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 13, Afternoon  | 
  
  
   Chairman  | 
   Dan Dai  | 
  
  
   15:00—15:30  | 
   Qiu-Ming Luo  | 
   Ramanujan’slostnotebook andRamanujan’scircular summation  | 
  
  
   15:30—16:00  | 
   Jian Cao  | 
   Solutions ofq-difference equations andsomeapplications  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Mourad Ismail)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 14, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Masatoshi Noumi  | 
  
  
   9:30—10:30  | 
   Dan Dai  | 
   Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—11:30  | 
   Ji-Cai Liu  | 
   Ageneralizedsupercongruence of Kimoto and Wakayama  | 
  
  
   11:30—12:00  | 
   Xiangke Chang  | 
   Isospectraldeformationrelated toorthogonalfunctions:Todalattices and peakonlattices  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 14, Afternoon  | 
  
  
   Chairman  | 
   Zhi-Guo Liu  | 
  
  
   15:00—15:30  | 
   Hao Pan  | 
   Divisibility ofbinomialsums andq-congruences  | 
  
  
   15:30—16:00  | 
   Xing-Biao Hu  | 
   Anumericalstudy of the 3-periodicwavesolutions to KdV-typeequations  | 
  
  
   16:00—16:30  | 
   Coffee Break  | 
  
  
   16:30—17:00  | 
   Research Problems (Zhi-Wei Sun)  | 
  
  
   17:30—  | 
   Dinner  | 
  
  
   August 15, Morning  | 
  
  
   9:00—9:30  | 
   Registration  | 
  
  
   Chairman  | 
   Ruiming Zhang  | 
  
  
   9:30—10:00  | 
   KatsuhisaMimachi  | 
   Connection formulas among solutions of  , which is satisfied by Appell’s hypergeometric function
  ,
  | 
  
  
   10:00—10:30  | 
   Zhi-Wei Sun  | 
   Onq-analogues ofsomeidentities andcongruences  | 
  
  
   10:30—11:00  | 
   Coffee Break  | 
  
  
   11:00—12:00  | 
   Zhi-Guo Liu  | 
   Arefinement of theorthogonality for the Askey-Wilsonpolynomials  | 
  
  
   12:00—14:00  | 
   Lunch  | 
  
  
   August 15, Afternoon  | 
  
  
   Chairman  | 
   Mourad Ismail  | 
  
  
   15:00—15:30  | 
   Xiaomei Yang  | 
   Theapplication ofq-Gaussdistribution in Bayesianinversion  | 
  
  
   15:30—16:00  | 
   Research Problems (Ruiming Zhang)  | 
  
  
   16:00—17:00  | 
   
  | 
  
  
   18:00—  | 
   Dinner  |