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ON THE DISTRIBUTION OF CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS OF CHOWLA TYPE
ON THE DISTRIBUTION OF CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS OF CHOWLA TYPE
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.62No.2
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2025.01493 - 511 (19 pages)
- 0
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Let k = 𝔽<sub>q</sub>(t) be a rational function field over the finite field 𝔽<sub>q</sub>, where q is odd. In this paper we investigate the distribution of class numbers in the family of real quadratic function fields $k({\sqrt{D}})$ of Chowla type over k. The strategy of this paper is to compare the distribution of L(1, χ<sub>D</sub>) to that of a random Euler product L(1, 𝕏), which is a function field analogue of the one by Dahl and Lamzouri.
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