- Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case
2021/02/11 by Najmuddin Fakhruddin, Rijul Saini, Fakhruddin, Najmuddin +1 · 1 citation
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Abelian group #Abelian variety #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #Combinatorics #Conjecture #Cover (algebra) #Dimension (graph theory) #Discrete mathematics #FOS: Mathematics #Finite field #Galois module #Mathematical analysis #Mathematics #Modular form #Number Theory (math.NT) #Prime (order theory) #Pure mathematics #Scheme (mathematics) #Shimura variety #Unitary state #Variety (cybernetics)
- Doubling Constructions and Tensor Product L-Functions: the linear case
2017/10/02 by Yuanqing Cai, Solomon Friedberg, Cai, Yuanqing +5 · 2 citations
Mathematics · #11F55 #11F66 #11F70 (Primary) #22E50 #22E55 (Secondary) #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Automorphic form #Classical group #Converse #Eisenstein series #FOS: Mathematics #Finite Group Theory Research #General linear group #Geometry #Group (periodic table) #Lie group #Mathematics #Modular form #Number Theory (math.NT) #Orthogonal group #Product (mathematics) #Pure mathematics #Representation (politics) #Representation Theory (math.RT) #Series (stratigraphy) #Symmetric group #Symplectic geometry #TRACE (psycholinguistics) #Tensor (intrinsic definition) #Tensor product
- Shintani lifts and fractional derivatives for harmonic weak Maass forms
2014/02/05 by Kathrin Bringmann, Pavel Guerzhoy, Ben Kane · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Cusp (singularity) #Geometry #Harmonic #Holomorphic function #Mathematics #Modular form #Pure mathematics
- The Iwasawa Main Conjectures for GL2
2013/05/22 by Christopher Skinner, Eric Urban · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Class (philosophy) #Combinatorics #Conjecture #Ideal (ethics) #Iwasawa theory #Law #Mathematical analysis #Mathematics #Modular form #Prime (order theory) #Pure mathematics #Variable (mathematics)
- On the dual nature of partial theta functions and Appell–Lerch sums
2012/08/31 by Eric T. Mortenson, Eric Mortenson · 7 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Appell series #Dual (grammatical number) #Duality (order theory) #Generalized hypergeometric function #Hypergeometric function #Mathematics #Modular form #Pure mathematics #Ramanujan theta function #Ramanujan's sum #math.NT #msc:11B65 #msc:11F11 #msc:11F27
- Galois representations arising from some compact Shimura varieties
2011/04/28 by Sug Woo Shin · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Mathematics #Shimura variety #Cohomology #Galois module #Pure mathematics #Algebra over a field #Modular form
- Cycle integrals of the j-function and mock modular forms
2011/03/01 by William Duke, W. Duke, Özlem Imamoḡlu +3 · 21 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Computer science #Fourier series #Geometry #Holomorphic function #Lift (data mining) #Mathematical analysis #Mathematics #Modular design #Modular form #Pure mathematics #Quadratic equation #Siegel modular form
- Theta functions of indefinite quadratic forms over real number fields
1999/09/27 by Olav K. Richter · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Modular form #Symplectic geometry #Mathematics #Pure mathematics #Quadratic equation #Root (linguistics) #Theta function #Modular design #Algebra over a field #Computer science #Geometry
- On Siegel's Modular Curve of Level 5 and the Class Number One Problem
1999/02/01 by Imin Chen · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Class (philosophy) #Class number #Computer science #Geometry #Mathematics #Modular curve #Modular design #Modular form #Pure mathematics #Siegel modular form
- Modular moonshine, III
1998/05/15 by Richard E. Borcherds · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics #Mathematics #Monster #Vertex operator algebra #Cohomology #Vertex (graph theory) #Algebra over a field #Pure mathematics #Modular form #Order (exchange) #Combinatorics #Algebra representation #Graph #Physics
- Theta Functions and Transcendence
1997/12/01 by Daniel Bertrand · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Computer science #Degree (music) #Epistemology #Geometry #Hypergeometric function #Mathematical proof #Mathematics #Modular design #Modular form #Philosophy #Physics #Pure mathematics #Transcendence (philosophy)
- Determination of modular forms by twists of critical L-values
1997/10/02 by Wenzhi Luo, Dinakar Ramakrishnan · 9 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Mathematics #Modular design #Modular form #Pure mathematics
- Modular equations and the genus zero property of moonshine functions
1997/08/01 by Chris Cummins, C.J. Cummins, T. Gannon +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Biology #Botany #Computer science #Genus #Mathematics #Modular design #Modular form #Nonlinear Waves and Solitons #Property (philosophy) #Pure mathematics #Zero (linguistics)
- Galois representations and modular forms
1995/01/01 by Kenneth A. Ribet · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematics #Galois module #Fermat's Last Theorem #Modular form #Modular design #Pure mathematics #Algebra over a field #Modular elliptic curve #Elliptic curve #Computer science #Programming language #Quarter period
- LIOUVILLE THEORY: WARD IDENTITIES FOR GENERATING FUNCTIONAL AND MODULAR GEOMETRY
1994/03/02 by LEON A. TAKHTAJAN, Leon Takhtajan · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Central charge #Conformal field theory #Conformal map #Geometry and complex manifolds #Modular design #Modular form #Moduli space #Perturbation theory (quantum mechanics) #Riemann surface #Symmetry (geometry) #hep-th
- On modular representations of ( Q/Q) arising from modular forms
1990/12/01 by Kenneth A. Ribet, K. A. Ribet · 5 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Bar (unit) #Computer science #Mathematics #Modular curve #Modular design #Modular form #Physics #Pure mathematics
- Proof of a Conjecture on Finite Modular Lattices
1990/01/01 by R. P. Dilworth · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Conjecture #Modular design #Lattice (music) #Mathematics #Modular form #Join (topology) #Pure mathematics #Combinatorics #Discrete mathematics #Computer science #Physics #Programming language
- Modular points, modular curves, modular surfaces and modular forms
1985/01/01 by Don Zagier, D. Zagier · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Computer science #Elliptic curve #Mathematics #Modular curve #Modular design #Modular elliptic curve #Modular form #Modular group #Programming language #Pure mathematics
- A classical Diophantine problem and modular forms of weight 3/2
1983/06/01 by Jerrold B. Tunnell, J. B. Tunnell · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Computer science #Diophantine equation #Diophantine set #Mathematics #Modular design #Modular form #Programming language #Pure mathematics
- Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
1978/06/01 by Nobushige Kurokawa · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cusp (singularity) #Cusp form #Degree (music) #Eigenvalues and eigenvectors #Geometry #Hecke operator #Mathematics #Modular form #Pure mathematics #Siegel modular form
- Elliptic Curves and Dedekind Domains
1976/06/01 by Michael Rosen · 1 citation
Computer Science · Mathematics · #Abelian group #Algebraic Geometry and Number Theory #Class (philosophy) #Computer science #Countable set #Cryptography and Residue Arithmetic #Dedekind cut #Dedekind eta function #Dedekind sum #Domain (mathematical analysis) #Elliptic curve #Group (periodic table) #Mathematical analysis #Mathematics #Modular form #Physics #Pure mathematics
- On Modular Forms of Half Integral Weight
1973/05/01 by Goro Shimura · 88 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematics #Modular design #Modular form #Programming language #Pure mathematics
- Definite quadratische formen der dimension 24 und diskriminante 1
1973/04/01 by Hans-Volker Niemeier · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Class number #Combinatorics #Dimension (graph theory) #Discriminant #Geometry #Mathematics #Modular form #Positive-definite matrix #Pure mathematics #Quadratic equation
- A Course in Arithmetic
1973/01/01 by Jean Pierre Serre · 1 citation
Mathematics · #advanced mathematical theories #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Discriminant #Mathematics #Arithmetic #Quadratic equation #Symbol (formal) #Legendre symbol #Algebra over a field #Algebraic number #Modular design #Modular form #Quadratic field #Pure mathematics #Quadratic function #Computer science #Mathematical analysis #Artificial intelligence
- The Class Group of Dedekind Domains
1972/01/01 by C. R. Leedham-Green · 1 citation
Mathematics · #Rings, Modules, and Algebras #Algebraic Geometry and Number Theory #Mathematics #Ideal class group #Dedekind cut #Principal ideal #Ideal (ethics) #Abelian group #Pure mathematics #Group ring #Dedekind eta function #Class (philosophy) #Group (periodic table) #Domain (mathematical analysis) #Dedekind sum #Ring (chemistry) #Discrete mathematics #Combinatorics #Field (mathematics) #Modular form #Mathematical analysis #Law #Prime (order theory)
- A note of Shimura's paper ?discontinuous groups and abelian varieties?
1969/12/01 by D. Mumford · 2 citations
Mathematics · #Abelian group #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Mathematics #Modular form #Pure mathematics #Shimura variety
- On modular forms of dimension -2
1965/01/01 by John Roderick Smart, John Smart · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Computer science #Dimension (graph theory) #Mathematics #Modular design #Modular form #Programming language #Pure mathematics #Rings, Modules, and Algebras