Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Generalized Riemann Hypothesis - Dirichlet L-functions: Resolution with Integral Transforms

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

Gilbert, Samuel W.

Paperback

Series: The Generalized Riemann Hypothesis, Book 2

General Mathematics

ISBN10: 1439264821
ISBN13: 9781439264829
Publisher: Booksurge Pub
Published: Apr 17 2023
Pages: 166
Weight: 1.21
Height: 0.43 Width: 8.50 Depth: 11.00
Language: English
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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