relation to Riemann zeta function
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31—36 of 36 matching pages
31: Bibliography V
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An integral transform involving Heun functions and a related eigenvalue problem.
SIAM J. Math. Anal. 17 (3), pp. 688–703.
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On the zeros of the Riemann zeta function in the critical strip. IV.
Math. Comp. 46 (174), pp. 667–681.
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A new estimate of the function
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Izv. Akad. Nauk SSSR. Ser. Mat. 22, pp. 161–164 (Russian).
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Integral relations for Lamé functions.
SIAM J. Math. Anal. 13 (6), pp. 978–987.
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Über die Riemann’sche Primzahlfunction.
Math. Ann. 55, pp. 441–464 (German).
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32: 5.17 Barnes’ -Function (Double Gamma Function)
§5.17 Barnes’ -Function (Double Gamma Function)
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5.17.4
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►When in ,
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5.17.7
►and is the derivative of the zeta function (Chapter 25).
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33: Bibliography C
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The Riemann zeta-function and its derivatives.
Proc. Roy. Soc. London Ser. A 450, pp. 477–499.
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Chebyshev approximations for the Riemann zeta function.
Math. Comp. 25 (115), pp. 537–547.
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Performance evaluation of programs related to the real gamma function.
ACM Trans. Math. Software 17 (1), pp. 46–54.
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An efficient algorithm for the Hurwitz zeta and related functions.
J. Comput. Appl. Math. 225 (2), pp. 338–346.
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Zeros of the Hankel function of real order out of the principal Riemann sheet.
J. Comput. Appl. Math. 37 (1-3), pp. 89–99.
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34: Bibliography R
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Elliptic Functions, Theta Functions, and Riemann Surfaces.
The Williams & Wilkins Co., Baltimore, MD.
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function.
Mathematics 9 (16).
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Elliptische Functionen.
Teubner, Leipzig.
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Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse.
Inauguraldissertation, Göttingen.
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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media.
In Differential Operators and Related Topics, Vol. I (Odessa,
1997),
Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
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35: Bibliography K
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The Riemann Zeta-Function.
de Gruyter Expositions in Mathematics, Vol. 5, Walter de Gruyter & Co., Berlin.
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Asymptotic expansions of certain -series and a formula of Ramanujan for specific values of the Riemann zeta function.
Acta Arith. 107 (3), pp. 269–298.
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The Riemann Zeta-Function and Quantum Chaology.
In Quantum Chaos (Varenna, 1991),
Proc. Internat. School of Phys. Enrico Fermi, CXIX, pp. 145–185.
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Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function.
Math. Comp. 24 (111), pp. 679–696.
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Complex zeros of two incomplete Riemann zeta functions.
Math. Comp. 26 (118), pp. 551–565.
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36: Bibliography H
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Sur la distribution des zéros de la fonction et ses conséquences arithmétiques.
Bull. Soc. Math. France 24, pp. 199–220 (French).
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Sums with cylindrical functions that reduce to the probability function and to related functions.
Bul. Akad. Shtiintse RSS Moldoven. 1978 (3), pp. 80–84, 95 (Russian).
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Tables of the Riemann Zeta Function.
Royal Society Mathematical Tables, Vol. 6, Cambridge University Press, New York.
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An Euler-Maclaurin-type formula involving conjugate Bernoulli polynomials and an application to
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Commun. Appl. Anal. 1 (1), pp. 15–32.
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Definitions of Stieltjes Integrals of the Riemann Type.
Amer. Math. Monthly 45 (5), pp. 265–278.
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