Pairs of quadrics in 11 variables

DOI10.1112/S0010437X1400801XzbMath1362.11046arXiv1305.1461OpenAlexW3101061110MaRDI QIDQ2947948

Ritabrata Munshi

Publication date: 29 September 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1461

zbMATH Keywords

quadratic formsasymptotic formulapair of formsDelta-methodKloosterman refinementdouble Kloosterman refinementsmooth intersection

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Related Items (8)

Quadratic forms and systems of forms in many variables ⋮ Simultaneous integer values of pairs of quadratic forms ⋮ Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$ ⋮ On the Hasse principle for complete intersections ⋮ Twists of GL(3) L-functions ⋮ Representations of integers by systems of three quadratic forms ⋮ On the Hasse principle for quartic hypersurfaces ⋮ A Note on Burgess Bound

Cites Work

• Bounds for automorphic \(L\)-functions
• Cubic forms in 14 variables
• Cubic forms in thirty-two variables
• Forms in many variables
• Zeros of systems of 𝔭-adic quadratic forms
• Simultaneous Quadratic Forms
• Rational points on singular intersections of quadrics
• Simultaneous Quadratic Equations

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