On the 𝐿¹ norm and the mean value of a trigonometric series

On the $L^{1}$ norm and the mean value of a trigonometric series
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Proc. Amer. Math. Soc. 19 (1968), 1023-1028

DOI: https://doi.org/10.1090/S0002-9939-1968-0231108-3

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References

S. Chowla, Some applications of a method of A. Selberg, J. Reine Angew. Math. 217 (1965), 128–132. MR 172853, DOI 10.1515/crll.1965.217.128
J. Chidambaraswamy and S. M. Shah, Trigometric series with non-negative partial sums, J. Reine Angew. Math. 229 (1968), 163–169. MR 223814, DOI 10.1515/crll.1968.229.163
H. Halberstam and K. F. Roth, Sequences. Vol. I, Clarendon Press, Oxford, 1966. MR 0210679
R. D. Halbgewachs and S. M. Shah, Trigonometric sums and Fresnel-type integrals, Proc. Indian Acad. Sci. Sect. A 65 (1967), 227–232. MR 212990, DOI 10.1007/BF03049400
S. M. Shah, Trigonometric series with nonnegative partial sums, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 386–391. MR 0238016
S. Uchiyama, On the mean modulus of trigonometric polynomials whose coefficients have random signs, Proc. Amer. Math. Soc. 16 (1965), 1185–1190. MR 185362, DOI 10.1090/S0002-9939-1965-0185362-4