Divisibility of Class Numbers of Imaginary Quadratic Fields
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Publication:4520424
DOI10.1112/S0024610700008887zbMath1018.11054OpenAlexW2102861891MaRDI QIDQ4520424
Publication date: 13 December 2000
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024610700008887
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A short note on the divisibility of class numbers of real quadratic fields ⋮ Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields ⋮ Counting squarefree discriminants of trinomials under abc ⋮ Imaginary quadratic fields with noncyclic ideal class groups ⋮ On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations ⋮ On a conjecture of Iizuka ⋮ On some symmetries of the base \(n\) expansion of \(1/m\): the class number connection ⋮ Indivisibility of class numbers of imaginary quadratic fields ⋮ Secondary terms in counting functions for cubic fields ⋮ On \(\ell\)-torsion in class groups of number fields ⋮ Simultaneous indivisibility of class numbers of pairs of real quadratic fields ⋮ Divisibility of the class numbers of imaginary quadratic fields ⋮ Bounded gaps between products of special primes ⋮ NON‐DIVISIBILITY OF CLASS NUMBERS AND PRIME VALUES OF POLYNOMIALS ⋮ On the \(p\)-ranks of the ideal class groups of imaginary quadratic fields ⋮ Divisibility criteria for class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ Counting problems: class groups, primes, and number fields ⋮ On -unramified extensions over imaginary quadratic fields ⋮ Bounds for the ℓ-torsion in class groups ⋮ Divisibility of class numbers of imaginary quadratic function fields by a fixed odd number ⋮ Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields ⋮ Averages and moments associated to class numbers of imaginary quadratic fields ⋮ EXPONENTS OF CLASS GROUPS OF REAL QUADRATIC FIELDS ⋮ Elements of class groups and Shafarevich-Tate groups of elliptic curves ⋮ Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors ⋮ Exponent of class group of certain imaginary quadratic fields ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ A Pair of Quadratic Fields with Class Number Divisible by 3 ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ On generalized Mersenne prime ⋮ Bounded gaps between products of distinct primes ⋮ ON p-ADIC PROPERTIES OF TWISTED TRACES OF SINGULAR MODULI ⋮ Class groups of quadratic fields of 3-rank at least 2: effective bounds ⋮ Quadratic class numbers divisible by 3 ⋮ Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ Imaginary quadratic fields with class groups of 3-rank at least 2 ⋮ Real quadratic fields with class number divisible by 5 or 7 ⋮ Sum of three squares and class numbers of imaginary quadratic fields ⋮ Quadratic twists of elliptic curves and class numbers ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Class number divisibility for imaginary quadratic fields ⋮ On the exponents of class groups of some families of imaginary quadratic fields ⋮ Integral points on elliptic curves and 3-torsion in class groups ⋮ A note on the divisibility of class numbers of imaginary quadratic fields \(\mathbb Q(\sqrt{a^2 - k^n})\) ⋮ On the divisibility of the class number of imaginary quadratic number fields ⋮ Black holes and class groups ⋮ Quadratic fields with noncyclic 5- or 7-class groups ⋮ Equidistribution of bounded torsion CM points ⋮ The spinor genus of the integral trace ⋮ Imaginary quadratic fields with 2-class group of type \((2,2^\ell)\) ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves ⋮ Notes on the divisibility of the class numbers of imaginary quadratic fields \(\mathbb {Q}(\sqrt{3^{2e} - 4k^n})\) ⋮ A note on the divisibility of class numbers of real quadratic fields. ⋮ On the number of real quadratic fields with class number divisible by 3
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