Xiang Ning Fan

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All published works

Action	Title	Year	Authors
+	Ternary cyclotomic numbers and ternary Jacobi sums	2024	Zhichao Tang Xiang Ning Fan
+	Trace representation of the binary pq2-periodic sequences derived from Euler quotients	2021	Jingwei Zhang Chuangqiang Hu Xiang Ning Fan Chang‐An Zhao
+	Permutation polynomials of degree 8 over finite fields of characteristic 2	2020	Xiang Ning Fan
+ PDF Chat	PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC	2019	Xiang Ning Fan
+	A classification of permutation polynomials of degree 7 over finite fields	2019	Xiang Ning Fan
+ PDF Chat	Linear complexity of Ding-Helleseth generalized cyclotomic sequences of order eight	2019	Yana Liang Cao Jia-li Xingfa Chen Shiping Cai Xiang Ning Fan
+	The Weil bound and non-exceptional permutation polynomials over finite fields	2018	Xiang Ning Fan
+	Explicit induction principle and symplectic-orthogonal theta lifts	2017	Xiang Ning Fan
+	PARITY PRESERVATION FOR K-TYPES IN AN IRREDUCIBLE REPRESENTATION	2016	Xiang Ning Fan
+	Parity preservation of $K$-types under theta correspondence	2016	Xiang Ning Fan
+	Explicit Induction Principle for the Dual Pairs $(O(p,q),Sp(2n,\mathbb{R}))$ with $p+q$ even	2014	Xiang Ning Fan
+	Explicit theta correspondence for the dual pairs (O(p,q),Sp(2n,R)) with p+q=4	2014	Xiang Ning Fan
+	Signal restoration via the regularized constrained total least squares	1998	Nicolas H. Younan Xiang Ning Fan

Common Coauthors

Coauthor	Papers Together
Chuangqiang Hu	1
Cao Jia-li	1
Shiping Cai	1
Chang‐An Zhao	1
Nicolas H. Younan	1
Xingfa Chen	1
Jingwei Zhang	1
Yana Liang	1
Zhichao Tang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On a Conjecture of Carlitz	1987	Daqing Wan	4
+	Sur les fonctions de sept lettres	2009	Charles Hermite	4
+	NOTES ON CONGRUENCES (I)	1963	H. Davenport D. J. Lewis	3
+	Correspondance de Howe pour les paires reductives duales: Quelques calculs dans le cas archimédien	1989	Colette Mœglin	3
+	The Weil bound and non-exceptional permutation polynomials over finite fields	2018	Xiang Ning Fan	3
+	Howe Correspondence for Real Unitary Groups	1998	Annegret Paul	3
+	WITHDRAWN & REPUBLISHED: Carlitz–Wan conjecture for permutation polynomials and Weil bound for curves over finite fields	2014	Jasbir S. Chahal Sudhir R. Ghorpade	3
+	A classification of permutation polynomials of degree 7 over finite fields	2019	Xiang Ning Fan	3
+	On the Howe correspondence for symplectic–orthogonal dual pairs	2005	Annegret Paul	3
+	Carlitz–Wan conjecture for permutation polynomials and Weil bound for curves over finite fields	2018	Jasbir S. Chahal Sudhir R. Ghorpade	3
+	On the occurrence of admissible representations in the real Howe correspondence in stable range	2008	Victor Protsak Tomasz Przebinda	3
+ PDF Chat	Transcending classical invariant theory	1989	Roger Howe	3
+ PDF Chat	Schur covers and Carlitz’s conjecture	1993	Michael D. Fried Robert M. Guralnick Jan Saxl	3
+ PDF Chat	Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2	2010	Jiyou Li David B. Chandler Qing Xiang	3
+	The Weil representation, Maslov index and Theta series	1980	Gérard Lion Michèle Vergne	3
+	Reductive Dual Pair Correspondence for Complex Groups	1995	Jeffrey Adams Dan Barbasch	3
+	Theorie des Fonctions Numeriques Simplement Periodiques	1878	Édouard Lucas	2
+	A Weil-Bound Free Proof of Schur's Conjecture	1997	Peter Müller	2
+	Explicit induction principle and symplectic-orthogonal theta lifts	2017	Xiang Ning Fan	2
+ PDF Chat	PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC	2019	Xiang Ning Fan	2
+	Cyclotomy, Higher Congruences, and Waring's Problem	1935	L. E. Dickson	2
+	Permutation polynomials and orthomorphism polynomials of degree six	2012	Christopher J. Shallue Ian M. Wanless	2
+	New Generalized Cyclotomy and Its Applications	1998	Cunsheng Ding Tor Helleseth	2
+	Complete permutation polynomials from exceptional polynomials	2017	Daniele Bartoli Massimo Giulietti Luciane Quoos Giovanni Zini	2
+	Irreducible representations of product of real reductive groups	2012	Dmitry Gourevitch Alexander Kemarsky	2
+	The explicit duality correspondence of (Sp(p,q),O∗(2n))	2003	Jian-Shu Li Annegret Paul Eng Chye Tan Chen-Bo Zhu	1
+	On the local theta-correspondence	1986	Stephen S. Kudla	1
+	Weil bounds for singular curves	1996	Eric Bach	1
+ PDF Chat	Pseudorandomness and Dynamics of Fermat Quotients	2011	Alina Ostafe Igor E. Shparlinski	1
+	Splitting metaplectic covers of dual reductive pairs	1994	Stephen S. Kudla	1
+	The Calculation of Radical Ideals in Positive Characteristic	2002	Gregor Kemper	1
+ PDF Chat	Smooth Fréchet globalizations of Harish-Chandra modules	2013	Joseph Bernstein Bernhard Krötz	1
+	About computation of the linear complexity of generalized cyclotomic sequences with period pq	2011	Vladimir Edemskiy О. В. Антонова	1
+ PDF Chat	Trace representation and linear complexity of binary sequences derived from Fermat quotients	2014	Zhixiong Chen	1
+ PDF Chat	Jacobi sums over finite fields	2002	Paul van Wamelen	1
+ PDF Chat	Remarks on classical invariant theory	1989	Roger Howe	1
+	A perturbation analysis of the regularized constrained total least squares	1996	Xinming Fan Nicolas H. Younan C.D. Taylor	1
+	Multiplicative character sums of Fermat quotients and pseudorandom sequences	2012	Domingo Gómez-Pérez Arne Winterhof	1
+ PDF Chat	On the k-error linear complexity of binary sequences derived from polynomial quotients	2015	Zhixiong Chen Zhihua Niu Chenhuang Wu	1
+	The Algebraic Structure of the Representations of Semisimple Lie Groups I	1979	David A. Vogan	1
+	Theorie des Fonctions Numeriques Simplement Periodiques. [Continued]	1878	Édouard Lucas	1
+	Cyclotomy, Higher Congruences, and Waring's Problem II	1935	L. E. Dickson	1
+	On Distinguishing Prime Numbers from Composite Numbers	1983	Leonard M. Adleman Carl Pomerance Robert Rumely	1
+ PDF Chat	Jacobi sums and cyclotomic numbers of order l<sup>2</sup>	2011	Devendra Shirolkar S. A. Katre	1
+	Representation Theory of Reductive Groups	1983	P. C. Trombi	1
+ PDF Chat	On first occurrence in the local theta correspondence	2005	Stephen S. Kudla Stephen Rallis	1
+	Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics	1987	Calvin C. Moore	1
+ PDF Chat	Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum.	1987	S. A. Katre A. R. Rajwade	1
+	Coincidence of algebraic and smooth theta correspondences	2016	Yixin Bao Binyong Sun	1
+	Lenstra′s Proof of the Carlitz-Wan Conjecture on Exceptional Polynomials: An Elementary Version	1995	Stephen D. Cohen Michael D. Fried	1