Mock Heegner points and congruent numbers
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Publication:917625
DOI10.1007/BF02570859zbMath0705.14023WikidataQ56610226 ScholiaQ56610226MaRDI QIDQ917625
Publication date: 1990
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/183796
Elliptic curves over global fields (11G05) Modular and automorphic functions (11F03) Arithmetic aspects of modular and Shimura varieties (11G18) Cubic and quartic Diophantine equations (11D25)
Related Items (23)
On the rank of an elliptic curve in elementary 2-extensions ⋮ Bounded gaps between primes in Chebotarev sets ⋮ Congruent numbers, quadratic forms and \(K_2\) ⋮ Families of non-congruent numbers with odd prime factors of the form \(8k + 3\) ⋮ Sylvester’s problem and mock Heegner points ⋮ Families of non-$\theta $-congruent numbers with arbitrarily many prime factors ⋮ Application of covering techniques to families of curves. ⋮ The congruent number problem and elliptic curves ⋮ Congruent numbers ⋮ The even parity Goldfeld conjecture: congruent number elliptic curves ⋮ Three constructions of rational points on \(Y^ 2=X^ 3\pm NX\) ⋮ Congruent numbers with many prime factors ⋮ Squarefree parts of polynomial values ⋮ A parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factors ⋮ Families of non-congruent numbers with arbitrarily many prime factors ⋮ Congruent Number Theta Coefficients to 1012 ⋮ On the congruence of twice a prime ⋮ On elliptic curves and random matrix theory ⋮ Unnamed Item ⋮ Towards Hilbert's tenth problem for rings of integers through Iwasawa theory and Heegner points ⋮ INTEGRAL POINTS ON CONGRUENT NUMBER CURVES ⋮ ON -CONGRUENT NUMBERS OVER REAL NUMBER FIELDS ⋮ A remark on prime (non)congruent numbers
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