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Analytic number theory
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#	Item
741	ON FINITENESS CONJECTURES FOR ENDOMORPHISM ALGEBRAS OF ABELIAN SURFACES ´ NILS BRUIN, E. VICTOR FLYNN, JOSEP GONZALEZ, AND VICTOR ROTGER Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-08-09 23:07:39 Analytic number theory Group theory Algebraic curves Algebraic number theory Elliptic curve Shimura variety Abelian variety Algebraic number field Quaternion algebra Abstract algebra Algebra Field theory
742	DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:19 Analytic number theory Group theory Elliptic curves Algebraic number field Birch and Swinnerton-Dyer conjecture Classical modular curve Golden ratio base Abstract algebra Mathematics Number theory
743	Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic ﬁelds By Henri Darmon and Samit Dasgupta Contents Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:56:54 Analytic number theory Modular forms Riemann surfaces Algebraic number theory Group theory Symbol Elliptic curve Valuation Kronecker limit formula Abstract algebra Mathematics Algebra
744	An Explicit Theory of Heights E. V. Flynn, Mathematical Institute, University of Oxford Abstract We consider the problem of explicitly determining the naive height constants for Jacobians of hyperelliptic curves. For gen Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Symbol Analytic number theory Elliptic curve Group theory
745	Covering Collections and a Challenge Problem of Serre E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We answer Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curve cryptography Elliptic curves Analytic number theory Algebraic curves Elliptic curve Group theory Curve Rational point Rational function Abstract algebra Geometry Algebraic geometry
746	Ann. Scient. Éc. Norm. Sup., 4e série, t. 38, 2005, p. 427 à 469. STARK–HEEGNER POINTS ON MODULAR JACOBIANS B Y S AMIT DASGUPTA A BSTRACT. – We present a construction which lifts Darmon’s Stark–Heegner points Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:55:09 Analytic number theory Algebraic curves Algebraic number theory Modular forms Valuation Modular curve Riemann surface Elliptic curve P-adic number Abstract algebra Geometry Field theory
747	THE p-ADIC L-FUNCTIONS OF EVIL EISENSTEIN SERIES ¨ BELLA¨ICHE AND SAMIT DASGUPTA JOEL Abstract. We compute the p-adic L-functions of evil Eisenstein series, showing that they factor as products of two Kubota–Leopoldt Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-04-18 11:37:46 Analytic number theory Modular forms Field theory Number theory P-adic number P-adic L-function Symbol Interpretation Hecke operator Mathematical analysis Mathematics Abstract algebra
748	MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]EMPIRICAL EVIDENCE FOR THE BIRCH AND SWINNERTON-DYER CONJECTURES FOR MODULAR JACOBIANS OF GENUS 2 CURVES Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Number theory Elliptic curves Diophantine geometry Analytic number theory Birch and Swinnerton-Dyer conjecture Tate–Shafarevich group Abelian variety Modular curve Abstract algebra Algebraic geometry Mathematics
749	CYCLES OF COVERS E. V. FLYNN AND J. WUNDERLE Abstract. We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty’s Theorem is not applicable, and which even resis Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:24 Analytic number theory Elliptic curve Group theory Covering space Locomotives of the London and North Eastern Railway Abstract algebra Topology Mathematics
750	TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-07-04 11:29:25 Elliptic curves Group theory Supersingular elliptic curve Isogeny Dual abelian variety Localization of a category Classical modular curve Abstract algebra Algebraic geometry Analytic number theory

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