Values of automorphic L-functions with prime power level at the point $$$$ |
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Authors: | Hengcai Tang Xuanxuan Xiao |
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Institution: | 1.School of Mathematics and Information Sciences,Henan University,Kaifeng,China;2.School of Mathematics,Shandong University,Jinan,China |
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Abstract: | We discuss in this work the distributions of values of L(1, f), where f is a primitive cusp form whose level is a prime power. We prove the upper bound part of the Montgomery–Vaughan’s first conjecture and give a weaker version of the lower bound part for automorphic L-functions in this case. We establish an unweighted trace formula in aspect of prime power level in our proof. |
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