- Ideal class groups of cyclotomic number fields I
2012/02/26 by Franz Lemmermeyer, Lemmermeyer, Franz · 1 citation
Computer Science · Mathematics · #11R18 #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number field #Class (philosophy) #Class number #Coding theory and cryptography #Computer science #Cyclotomic field #Discrete mathematics #Divisibility rule #FOS: Mathematics #Field (mathematics) #Hasse principle #Ideal (ethics) #Ideal class group #Law #Mathematical proof #Mathematics #Mathematics education #Number Theory (math.NT) #Pure mathematics #Unit (ring theory) #math.NT #msc:11R18
- On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger
2009/11/01 by Jan Nekovář · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Analytic Number Theory Research #Mathematics #Parity (physics) #Conjecture #Elliptic curve #Pure mathematics #Class number #Combinatorics #Mathematics education #Geometry
- New Computations Concerning the Cohen-Lenstra Heuristics
2003/01/01 by Herman te Riele, Hugh C. Williams · 1 citation
Mathematics · Computer Science · #Analytic Number Theory Research #Coding theory and cryptography #Algebraic Geometry and Number Theory #Mathematics #Modulo #Rational number #Conjecture #Combinatorics #Heuristics #Prime (order theory) #Integer (computer science) #Quadratic equation #Class number #Algebraic number field #Discrete mathematics #Computation #Constant (computer programming) #Field (mathematics) #Algorithm #Pure mathematics
- New quadratic polynomials with high densities of prime values
2002/05/02 by Michael J. Jacobson, Hugh C. Williams · 2 citations
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Advanced Mathematical Identities #Discriminant #Mathematics #Riemann hypothesis #Combinatorics #Polynomial #Quadratic equation #Prime (order theory) #Order (exchange) #Class number #Delta #Discrete mathematics #Pure mathematics #Mathematical analysis #Geometry #Physics
- 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
- Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields
1996/01/01 by R. A. Mollin · 1 citation
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Mathematics #Quadratic equation #Class (philosophy) #Class number #Binary quadratic form #Combinatorics #Pure mathematics #Quadratic field #Discrete mathematics #Quadratic function #Artificial intelligence #Computer science
- A Monte Carlo Factoring Algorithm With Linear Storage
1984/07/01 by C. P. Schnorr, H. W. Lenstra · 1 citation
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Analytic Number Theory Research #semigroups and automata theory #Mathematics #Combinatorics #Integer (computer science) #Prime factor #Prime (order theory) #Upper and lower bounds #Monte Carlo method #Running time #Space (punctuation) #Class (philosophy) #Class number #Discrete mathematics #Algorithm #Statistics #Mathematical analysis #Geometry #Computer science
- 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 historical note on complex quadratic fields with class-number one.
1969/04/01 by H. Stärk · 2 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #Discriminant #Class number #Mathematics #Prime (order theory) #Combinatorics #Quadratic equation #Field (mathematics) #Kronecker delta #Algebraic number field #Class (philosophy) #Quadratic form (statistics) #Quadratic field #Symbol (formal) #Prime number #Discrete mathematics #Arithmetic #Pure mathematics #Physics #Quadratic function #Computer science #Geometry #Quantum mechanics #Artificial intelligence