001441917 000__ 04669cam\a2200673Ia\4500
001441917 001__ 1441917
001441917 003__ OCoLC
001441917 005__ 20230309003349.0
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001441917 019__ $$a1304360843$$a1304400594$$a1304461418$$a1305841694$$a1306059987$$a1306168258
001441917 020__ $$a9783030809140$$q(electronic bk.)
001441917 020__ $$a3030809145$$q(electronic bk.)
001441917 020__ $$z3030809137
001441917 020__ $$z9783030809133
001441917 020__ $$a9783030809157
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001441917 020__ $$a9783030809164
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001441917 0247_ $$a10.1007/978-3-030-80914-0$$2doi
001441917 035__ $$aSP(OCoLC)1304247904
001441917 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dFIE$$dOCLCO$$dOCLCF$$dORU$$dOCL$$dOCLCQ
001441917 049__ $$aISEA
001441917 050_4 $$aQA242.5
001441917 08204 $$a516.3/5$$223
001441917 24500 $$aArithmetic geometry, number theory, and computation /$$cJennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight, editors.
001441917 260__ $$aCham, Switzerland :$$bSpringer,$$c2021.
001441917 300__ $$a1 online resource
001441917 336__ $$atext$$btxt$$2rdacontent
001441917 337__ $$acomputer$$bc$$2rdamedia
001441917 338__ $$aonline resource$$bcr$$2rdacarrier
001441917 4901_ $$aSimons Symposia,$$x2365-9572
001441917 5050_ $$aA robust implementation for solving the S-unit equation and several application (C. Rasmussen) -- Computing classical modular forms for arbitrary congruence subgroups (E. Assaf) -- Square root time Coleman integration on superelliptic curves (A. Best) -- Computing classical modular forms ( A. Sutherland) -- Elliptic curves with good reduction outside of the first six primes (B. Matschke) -- Efficient computation of BSD invariants in genus 2 (R. van Bommel) -- Restrictions on Weil polynomials of Jacobians of hyperelliptic curves (E. Costa) -- Zen and the art of database maintenance (D. Roe) -- Effective obstructions to lifting Tate classes from positive characteristic (E. Costa) -- Conjecture: 100% of elliptic surfaces over Q have rank zero (A. Cowan) -- On rational Bianchi newforms and abelian surfaces with quaternionic multiplication (J. Voight) -- A database of Hilbert modular forms (J. Voight) -- Isogeny classes of Abelian Varieties over Finite Fields in the LMFDB (D. Roe) -- Computing rational points on genus 3 hyperelliptic curves (S. Hashimoto) -- Curves with sharp Chabauty-Coleman bound (S. Gajovic) -- Chabauty-Coleman computations on rank 1 Picard curves (S. Hashimoto) -- Linear dependence among Hecke eigenvalues (D. Kim) -- Congruent number triangles with the same hypotenuse (D. Lowry-Duda) -- Visualizing modular forms (D. Lowry-Duda) -- A Prym variety with everywhere good reduction over Q( 61) ( J. Voight) -- The S-integral points on the projective line minus three points via etale covers and Skolem's method (B. Poonen).
001441917 506__ $$aAccess limited to authorized users.
001441917 520__ $$aThis volume contains articles related to the work of the Simons Collaboration "Arithmetic Geometry, Number Theory, and Computation." The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include algebraic varieties over finite fields the Chabauty-Coleman method modular forms rational points on curves of small genus S-unit equations and integral points.
001441917 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 30, 2022).
001441917 650_0 $$aArithmetical algebraic geometry.
001441917 650_0 $$aNumber theory.
001441917 650_0 $$aGeometry, Algebraic.
001441917 650_6 $$aGéométrie algébrique.
001441917 650_6 $$aThéorie des nombres.
001441917 650_6 $$aInformatique.
001441917 650_6 $$aGéométrie algébrique arithmétique.
001441917 655_0 $$aElectronic books.
001441917 7001_ $$aBalakrishnan, Jennifer S.$$eeditor.
001441917 7001_ $$aElkies, Noam,$$eeditor.
001441917 7001_ $$aHassett, Brendan,$$eeditor.
001441917 7001_ $$aPoonen, Bjorn,$$eeditor.
001441917 7001_ $$aSutherland, Andrew V.$$eeditor.
001441917 7001_ $$aVoight, John$$c(Mathematician),$$eeditor.
001441917 77608 $$iPrint version: $$z3030809137$$z9783030809133$$w(OCoLC)1256251429
001441917 830_0 $$aSimons symposia,$$x2365-9572
001441917 852__ $$bebk
001441917 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80914-0$$zOnline Access$$91397441.1
001441917 909CO $$ooai:library.usi.edu:1441917$$pGLOBAL_SET
001441917 980__ $$aBIB
001441917 980__ $$aEBOOK
001441917 982__ $$aEbook
001441917 983__ $$aOnline
001441917 994__ $$a92$$bISE