Results 11 to 20 of about 28,720,463 (113)
Nonvanishing for cubic L-functions [PDF]
Forum of Mathematics, Sigma, 2020 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 $s=1/2$ .
Chantal David +2 more
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The fourth moment of Dirichlet L-functions along a coset and the Weyl bound [PDF]
Duke mathematical journal, 2019 We prove a Lindelof-on-average upper bound for the fourth moment of Dirichlet $L$-functions of conductor $q$ along a coset of the subgroup of characters modulo $d$ when $q^*|d$, where $q^*$ is the least positive integer such that $q^2|(q^*)^3$.
Ian Petrow, M. Young
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The Weyl bound for Dirichlet L-functions of cube-free conductor [PDF]
Annals of Mathematics, 2018 We prove a Weyl-exponent subconvex bound for any Dirichlet $L$-function of cube-free conductor. We also show a bound of the same strength for certain $L$-functions of self-dual $\mathrm{GL}_2$ automorphic forms that arise as twists of forms of smaller ...
Ian Petrow, M. Young
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Hida families and p-adic triple product L-functions [PDF]
American Journal of Mathematics, 2017 :We construct the three-variable $p$-adic triple product $L$-functions attached to Hida families of elliptic newforms and prove the explicit interpolation formulae at all critical specializations by establishing explicit Ichino's formulae for the ...
Ming-Lun Hsieh
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Higher Hida theory and p-adic L-functions for GSp4 [PDF]
Duke mathematical journal, 2019 We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees.
David Loeffler +3 more
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Twisted moments of L-functions and spectral reciprocity [PDF]
Duke mathematical journal, 2017 A reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q twisted by the ell-th Hecke eigenvalue as the fourth moment of automorphic L-functions of level ell twisted by the q-th Hecke eigenvalue.
V. Blomer, Rizwanur Khan
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Chebyshev’s bias for analytic L-functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2017 We discuss the generalizations of the concept of Chebyshev’s bias from two perspectives. First, we give a general framework for the study of prime number races and Chebyshev’s bias attached to general L-functions satisfying natural analytic hypotheses ...
Lucile Devin
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The fifth moment of modular $L$-functions [PDF]
Journal of the European Mathematical Society (Print), 2017 We prove a sharp bound on the fifth moment of modular L-functions of fixed small weight, and large prime level.
E. M. Kıral, M. Young
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$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS [PDF]
Forum of Mathematics, Pi, 2016 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. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
E. Eischen +3 more
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The L-Functions and Modular Forms Database Project [PDF]
Foundations of Computational Mathematics, 2015 The Langlands Programme, formulated by Robert Langlands in the 1960s and since much developed and refined, is a web of interrelated theory and conjectures concerning many objects in number theory, their interconnections, and connections to other fields ...
J. Cremona
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