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Values of zeta functions at s=1/2 | | Niranjan Ramachandran
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24 Feb 2005 | | Subject: | Number Theory; Algebraic Geometry | math.NT math.AG | | Abstract: | We study the behaviour near s=1/2 of zeta functions of varieties over finite fields F_q with q a square. The main result is an Euler-characteristic formula for the square of the special value at s=1/2. The Euler-characteristic is constructed from the Weil-etale cohomology of a certain supersingular elliptic curve. | | Source: | arXiv, math.NT/0502507 | | Services: | Forum | Review | PDF | Favorites | |
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