Title
The Fourieranalytic Proof Of Quadratic Reciprocity
Delivery time: 8-12 business days (International)
A unique synthesis of the three existing Fourieranalytic treatments of quadratic reciprocity.The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general nth order case is still an open problem today, going back to the end of Hecke's famous treatise of 1923. The FourierAnalytic Proof of Quadratic Reciprocity provides number theorists interested in analytic methods applied to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota.This work brings together for the first time in a single volume the three existing formulations of the Fourieranalytic proof of quadratic reciprocity. It shows how Weil's groundbreaking representationtheoretic treatment is in fact equivalent to Hecke's classical approach, then goes a step further, presenting Kubota's algebraic reformulation of the HeckeWeil proof. Extensive commutative diagrams for comparing the Weil and Kubota architectures are also featured.The author clearly demonstrates the value of the analytic approach, incorporating some of the most powerful tools of modern number theory, including adles, metaplectric groups, and representations. Finally, he points out that the critical common factor among the three proofs is Poisson summation, whose generalization may ultimately provide the resolution for Hecke's open problem.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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