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Nonvanishing for cubic L-functions
Published 2021-01-01“…We prove that there is a positive proportion of L-functions associated to cubic characters over $\mathbb F_q[T]$ that do not vanish at the critical point $s=1/2$. …”
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On the use of L-functionals in regression models
Published 2023-08-01Subjects: Get full text
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The Laplace transform of Dirichlet L-functions
Published 2012-04-01Subjects: “…Dirichlet L-function…”
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On the analogy between L-functions and Atiyah-Bott-Lefschetz trace formulas for foliated spaces
Published 2014-01-01Subjects: “…l-functions…”
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The Joint Universality for L-Functions of Elliptic Curves
Published 2004-10-01“…A joint universality theorem in the Voronin sense for L-functions of elliptic curves over the field of rational numbers is proved.…”
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Universality of Dirichlet L-functions with shifted characters
Published 2004-12-01Subjects: “…Dirichlet L-functions…”
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$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Published 2020-01-01“…This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. …”
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The estimate of fractional moments for Dirichlet L-functions
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Shtukas and the Taylor expansion of L-functions (II)
Published 2020“…In particular, we can now obtain global L-functions with odd vanishing orders. These identities are function-field analogues of the formulae of Waldspurger and Gross-Zagier for higher derivatives of L-functions.…”
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Variance of arithmetic sums and L-functions in Fq[t]
Published 2019“…We compute the variances of sums in arithmetic progressions of arithmetic functions associated with certain L-functions of degree 2 and higher in F q [t], in the limit as q →∞. …”
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Exceptional characters and nonvanishing of Dirichlet L-functions
Published 2021“…Let 𝜓 be a real primitive character modulo D. If the L-function 𝐿(𝑠,𝜓) has a real zero close to 𝑠=1, known as a Landau–Siegel zero, then we say the character 𝜓 is exceptional. …”
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