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• W2951817336 abstract "In upcoming papers by Conrey, Farmer and Zirnbauer there appear conjectural formulas for averages, over a family, of ratios of products of shifted L-functions. In this paper we will present various applications of these ratios conjectures to a wide variety of problems that are of interest in number theory, such as lower order terms in the zero statistics of L-functions, mollified moments of L-functions and discrete averages over zeros of the Riemann zeta function. In particular, using the ratios conjectures we easily derive the answers to a number of notoriously difficult computations." @default.
• W2951817336 created "2019-06-27" @default.
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• W2951817336 date "2005-09-21" @default.
• W2951817336 modified "2023-09-27" @default.
• W2951817336 title "Applications of the L-functions ratios conjectures" @default.
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• W2951817336 doi "https://doi.org/10.48550/arxiv.math/0509480" @default.
• W2951817336 hasPublicationYear "2005" @default.
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