Winnie Li | Academic Influence

Winnie Li's AcademicInfluence.com Rankings

Winnie Li

Mathematics

#2484

World Rank

#3831

Historical Rank

#980

USA Rank

Measure Theory

#3494

World Rank

#4122

Historical Rank

#1014

USA Rank

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Mathematics

Winnie Li's Degrees

PhD Mathematics National Taiwan University
Masters Mathematics National Taiwan University
Bachelors Mathematics National Taiwan University

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Why Is Winnie Li Influential?

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According to Wikipedia, Wen-Ch'ing Li is a Taiwanese-American mathematician and a Distinguished Professor of Mathematics at Pennsylvania State University. She is a number theorist, with research focusing on the theory of automorphic forms and applications of number theory to coding theory and spectral graph theory. In particular, she has applied her research results in automorphic forms and number theory to construct efficient communication networks called Ramanujan graphs and Ramanujan complexes.

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Winnie Li's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Newforms and functional equations (1975) (241)
Spectra of Hypergraphs and Applications (1996) (103)
On the Structure of t-Designs (1980) (81)
Number theory with applications (1996) (77)
Spectra of Regular Graphs and Hypergraphs and Orthogonal Polynomials (1996) (75)
MODULAR FORMS FOR NONCONGRUENCE SUBGROUPS (2005) (73)
L-series of Rankin type and their functional equations (1979) (68)
Character sums and abelian Ramanujan graphs (1992) (58)
The Poincaré series of the ring of 2 × 2 generic matrices (1981) (51)
Independence numbers of graphs and generators of ideals (1981) (51)
Characterizations of pseudo-codewords of (low-density) parity-check codes (2007) (46)
Ramanujan hypergraphs (2004) (41)
A 2-adic approach to the analysis of cyclic codes (1997) (38)
Character Sums overp-adic Fields (1999) (31)
The zeta functions of complexes from PGL(3): A representation-theoretic approach (2008) (31)
On Atkin and Swinnerton-Dyer congruence relations (2) (2005) (31)
Hidden Number Problem with the Trace and Bit Security of XTR and LUC (2002) (31)
On Atkin–Swinnerton-Dyer congruence relations (2003) (28)
Pseudo-codewords of cycle codes via zeta functions (2004) (27)
Characterizations of Pseudo-Codewords of LDPC Codes (2005) (25)
Zeta Functions of Complexes Arising from PGL(3) (2008) (22)
New Optimal Tame Towers of Function Fields over Small Finite Fields (2002) (20)
On Converse Theorems for GL(2) and GL(1) (1981) (17)
Fourier coefficients of noncongruence cuspforms (2010) (15)
The Lerch Zeta function III. Polylogarithms and special values (2015) (14)
Recent Developments in Low-Density Parity-Check Codes (2009) (13)
THE CLASS NUMBER OF Q ( √− p ) AND DIGITS OF 1 /p (2010) (13)
Partition polytopes over 1-dimensional points (1999) (13)
Barnes' identities and representations of GL (2). I. Finite field case. (1983) (13)
Coverings of curves with asymptotically many rational points (1999) (12)
The Zeta Functions of Complexes from $\Sp(4)$ (2011) (12)
Character sums, automorphic forms, equidistribution, and Ramanujan graphs Part I. The Kloosterman sum conjecture over function fields (2003) (12)
On negative eigenvalues of regular graphs (2001) (12)
Galois representations with quaternion multiplication associated to noncongruence modular forms (2010) (11)
Eigenvalues of Ramanujan Graphs (1999) (11)
Character sums over norm groups (2006) (11)
Reliabilities of Double-Loop Networks (1991) (11)
HECKE OPERATORS ON DRINFELD CUSP FORMS (2007) (10)
Most reliable double loop networks in survival reliability (1993) (10)
Zeta and 𝐿-functions in Number Theory and Combinatorics (2019) (9)
Eisenstein series and decomposition theory over function fields (1979) (9)
Atkin and Swinnerton-Dyer congruences and noncongruence modular forms (Algebraic Number Theory and Related Topics 2012) (2013) (9)
Functional equations and periodic sequences (1989) (9)
Upper and lower bounds for () (2007) (8)
Fourier transforms of representations of quaternions. (1985) (8)
Character sums, automorphic forms, equidistribution, and Ramanujan graphs 1 (2001) (7)
On modular functions in characteristic $p$ (1978) (7)
Dimensions of spaces of cusp forms over function fields. (1980) (7)
CONNECTIVITY RELIABILITIES AND HAMILTONIAN RELIABILITIES OF LINEAR AND CIRCULAR CONSECUTIVE-2 LINK SYSTEMS (1994) (7)
Barnes' identities and representations of GL (2). II. Nonarchimedian local field case. (1983) (7)
Artin L-Functions on Finite Quotients of PGL3 (2015) (6)
A Reversible Model for Consecutive-2-out-of-n: F Systems with Node and Link Failures (1994) (6)
Ramanujan graphs on cosets of PGL2(F2) (2005) (6)
Estimates of character sums arising from finite upper half planes (1996) (6)
Foundations of quantum error correction (2007) (5)
Hecke — Weil — Jacquet — Langlands theorem revisited (1979) (5)
On the representations of GL (2). II. ε-factors of the representations of GL(2) x GL(2). (1980) (5)
The Lerch zeta function IV. Hecke operators (2015) (5)
Reed Muller codes and symplectic geometry (2007) (5)
Potentially $GL_2$-type Galois representations associated to noncongruence modular forms (2016) (4)
Zeta and L-functions of finite quotients of apartments and buildings (2015) (4)
Sylow subgroups of ideal class groups with moduli (1990) (4)
On Generators of Ideals Associated with Unions of Linear Varieties (1981) (4)
Homogeneous Collinear Sets in Partitions of Zn (1981) (4)
Diagonalizing modular forms (1986) (3)
A Survey of Ramanujan Graphs (2014) (3)
Modularity of Asymptotically Optimal Towers of Function Fields (2004) (3)
Ramanujan Graphs and Ramanujan Hypergraphs (2007) (3)
Computing Special L-Values of Certain Modular Forms with Complex Multiplication (2018) (3)
On ideal Classes of Number Fields Containing integral Ideals of Equal Norms (1985) (3)
Elliptic curves, Kloosterman sums, and Ramanujan graphs (1997) (3)
On the representations of GL(2). I. E-factors and n-closeness. (1980) (3)
Ramanujan Graphs on Cosets of $PGL_2(\mathbb{F}_q)$ (2005) (3)
Modular Curves and Coding Theory: A Survey (2010) (2)
Pair arithmetical equivalence for quadratic fields (2020) (2)
Hamiltonian Circuits for 2-Regular Interconnection Networks (1993) (2)
Recent Trends in Coding Theory and Its Applications (2007) (2)
A Whipple $$_7F_6$$ Formula Revisited (2021) (2)
Explicit towers and codes (2007) (2)
Twisted Dirichlet series and distributions (1990) (2)
Monochromatic lines in partitions of Zn (1981) (2)
Monochromatic lines in partitions of Zn (1981) (2)
Monochromatic lines in partitions of Zn (1981) (2)
Lectures on Modular Forms and Galois Representations (2006) (2)
Improved algebraic geometry bounds (2007) (1)
Low-density parity-check codes: asymptotic behavior and zeta functions (2009) (1)
MULTILINEAR DIFFERENTIAL OPERATORS ON MODULAR FORMS (2004) (1)
WHITTAKER MODELS , (2006) (1)
On negative eigenvalues of regular graphs. commentary (2001) (1)
On the Galois closure of towers (2007) (1)
Discontinuous Groups and Automorphic Forms (2017) (1)
On quadratic Gauss sums over local fields (1987) (1)
Zeta Functions of Group Based Graphs and Complexes (2011) (1)
The Ramanujan conjecture and its applications (2020) (1)
Identities on quadratic Gauss sums (1990) (1)
A unified approach to the Galois closure problem (2015) (0)
A Survey of Ramanujan Graphs Wen (2014) (0)
The Lerch zeta function IV. Hecke operators (2016) (0)
The Mathematics Division of the National Center for Theoretical Sciences (2013) (0)
TWO APPROACHES TO MEASURES FOR ALGEBRAIC INDEPENDENCE (2005) (0)
ON A PROBLEM OF D. LEHMER (2006) (0)
A SHARP RESULT ON m -COVERS (2007) (0)
FACTORIZATION FORMULAE ON COUNTING ZEROS OF DIAGONAL EQUATIONS OVER FINITE FIELDS (2007) (0)
OF TWISTED DIAGONAL EXPONENTIAL SUMS OVER FINITE FIELDS (2007) (0)
A new description of quantum error-correcting codes (2007) (0)
The Lerch Zeta function III. Polylogarithms and special values (2016) (0)
CONSTRUCTING CURVES WITH COMPLEX MULTIPLICATION USING THE CHINESE REMAINDER (2018) (0)
ZETA FUNCTIONS AND APPLICATIONS OF GROUP BASED COMPLEXES (2010) (0)
Zeta and L-functions of finite quotients of apartments and buildings (2018) (0)
Determination of the residue classes of a polynomial at integral arguments (1983) (0)
Link-Connectivities of Extended Double Loop Networks (1996) (0)
Artin L-function on PGL3 (2014) (0)
AWhipple 7 F 6 Formula Revisited (2022) (0)
Elkies’ modularity conjecture (2007) (0)
Ideal Class Groups and Galois Modules (1992) (0)
Graph-based codes (2007) (0)
Generators for the ideal of polynomial identities satisfied by 2 × 2 matrices (1982) (0)
Introduction to algebraic geometry codes (2007) (0)

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