A supplement to Manin's proof of the Hasse inequality

DOI10.1216/RMJ-2014-44-5-1457zbMath1316.11054OpenAlexW2014353931MaRDI QIDQ485874

Afzal Soomro, Jaap Top, Jasbir Singh Chahal

Publication date: 14 January 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071550

zbMATH Keywords

finite fieldrational pointselliptic curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Related Items (2)

A proof of the Hasse-Weil inequality for genus 2 à la Manin ⋮ On Hasse's inequality

Cites Work

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• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• Configurations of singular fibres on rational elliptic surfaces in characteristic two
• Reduction of Elliptic Curves in Equal Characteristic 3 (and 2)
• The Riemann Hypothesis for Elliptic Curves
• On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms
• The Square-Free Sieve and the Rank of Elliptic Curves
• Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.

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