Higher integral moments of automorphic L-functions in short intervals
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DOI: 10.1016/j.jnt.2016.07.004
Abstract: We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function. read more here.
Keywords: functions short; integral moments; automorphic functions; moments automorphic ... See more keywords
On Functions with Zero Integral Moments over Balls of Fixed Radius
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DOI: 10.1134/s1064562418030213
Abstract: We consider precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. The case where, together with zero integrals for f over congruent balls, the functions… read more here.
Keywords: balls fixed; integral moments; zero integral; zero integrals ... See more keywords