Elementary trigonometric sums related to quadratic residues

DOI10.4171/EM/194zbMath1252.11058arXiv1001.2638MaRDI QIDQ442464

Abdallah Laradji, Maurice Mignotte, Nicholas Tzanakis

Publication date: 11 August 2012

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2638

zbMATH Keywords

class numberquadratic Gauss sumsquadratic residuestrigonometric sumscomplex quadratic number fieldDirichlet's class number formula

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Trigonometric and exponential sums (general theory) (11L03) Power residues, reciprocity (11A15)

Related Items (1)

Distribution of Residues Modulo p Using the Dirichlet’s Class Number Formula

Cites Work

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• Finite trigonometric sums and class numbers
• Classical theorems on quadratic residues
• An exponential polynomial formed with the Legendre symbol
• Note on a theorem on quadratic residues
• Theorems on Quadratic Residues
• A Theorem on Quadratic Residues

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