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portada The Generalized Riemann Hypothesis - Dirichlet L-functions: Resolution with Integral Transforms
Type
Physical Book
Author
Publisher
Language
English
Pages
166
Format
Paperback
Dimensions
27.9x21.6x1.1 cm
Weight
0.55 kg.
ISBN13
9781439264829
Categories

The Generalized Riemann Hypothesis - Dirichlet L-functions: Resolution with Integral Transforms

Samuel W. Gilbert (Author) · Booksurge Publishing · Paperback

The Generalized Riemann Hypothesis - Dirichlet L-functions: Resolution with Integral Transforms - Gilbert, Samuel W.

New Book Imported to Taiwan
Delivery: 02 Oct - 12 Oct Shipping: 5 to 6 business days.
NT$ 1,723
NT$ 1,723

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Synopsis "The Generalized Riemann Hypothesis - Dirichlet L-functions: Resolution with Integral Transforms"

This book is the second of two books in a series by the author on the generalized Riemann hypothesis. The Euler-Maclaurin summation formula, the Borel integral summation method, the Euler reflection formula for the gamma function, and the result of the first book of this series are used to prove that all roots of Dirichlet L-functions with principal characters in the critical strip are identical to the roots of the Riemann zeta function, and therefore have real part equal to 1/2. Furthermore, the Euler-Maclaurin summation formula, the Borel integral summation method, bi-lateral integral transform representations of the partial sums of the Dirichlet L-functions with non-principal characters in the critical strip, and the generalized functional equation of the Dirichlet L-functions are used to prove that all roots of the Dirichlet L-functions with non-principal characters in the critical strip have real part equal to 1/2.

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