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• W1970377478 abstract "Let $L(s,chi)$ be a fixed Dirichlet $L$-function. Given a vertical arithmetic progression of $T$ points on the line $Re(s)=1/2$, we show that $gg T log T$ of them are not zeros of $L(s,chi)$. This result provides some theoretical evidence towards the conjecture that all ordinates of zeros of Dirichlet $L$-functions are linearly independent over the rationals. We also establish an upper bound (depending upon the progression) for the first member of the arithmetic progression that is not a zero of $L(s,chi)$." @default.
• W1970377478 created "2016-06-24" @default.
• W1970377478 creator A5004640271 @default.
• W1970377478 creator A5087476929 @default.
• W1970377478 date "2011-09-08" @default.
• W1970377478 modified "2023-09-27" @default.
• W1970377478 title "Nonzero values of Dirichlet $L$-functions in vertical arithmetic progressions" @default.
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• W1970377478 hasPublicationYear "2011" @default.
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