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2011, Annals of mathematics studies, ISBN 9780691150659, Volume no. 175, xii, 158
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function... 
Weyl groups | Dirichlet series | Mathematics
Book
International journal of number theory, ISSN 1793-0421, 05/2017, Volume 13, Issue 4, pp. 885 - 911
...–Eisenstein series r ( z ) , introduced by Michael Hauss in 1995. The latter turns out to be the product of the hyperbolic sinh function with an explicit closed form linear combination of digamma functions... 
Hilbert-Eisenstein series | Hilbert transform | Butzer-Flocke-Hauss complete Omega function | Bernoulli numbers | digamma function | Eisenstein series | Riemann Zeta function | Dirichlet Eta function | exponential generating functions | Conjugate Bernoulli numbers | Physical Sciences | Mathematics | Science & Technology | Hyperbolic functions
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2021, Volume 493, Issue 2, p. 124541
We prove that for any convergent Laurent series f(z)=∑n=−k∞anzn with k≥0, there is a meromorphic function F... 
Zeta function | Dirichlet series | Special functions | Lerch transcendent | Mellin transforms | Power series | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Analysis (Wiesbaden), ISSN 0174-4747, 08/2016, Volume 36, Issue 3, pp. 205 - 210
Many Dirichlet series are either continuable to the whole complex plane or admit half-planes as their maximal domain of meromorphic continuation... 
Riemann zeta function | Dirichlet series | 11M41 | 30B40 | meromorphic continuation
Journal Article
The Rocky Mountain journal of mathematics, ISSN 0035-7596, 1/2014, Volume 44, Issue 2, pp. 443 - 477
The Stieltjes constants 𝛾𝑘(𝑎) appear as the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function ζ(𝑠, 𝑎) about... 
Dirichlet L functions | Stirling numbers of the first kind | Stieltjes constants | Lerch zeta function | Riemann zeta function | Laurent expansion | Hurwitz zeta function | Physical Sciences | Mathematics | Science & Technology | 11M35 | 05A10 | 11Y60 | 11M06
Journal Article
Pacific journal of mathematics, ISSN 0030-8730, 03/2006, Volume 224, Issue 1, pp. 185 - 200
We introduce a general method for obtaining the main zeta invariants for a class of double series of Dirichlet type and we apply it to the case of homogeneous... 
Kronecker limit formula | Zeta functions | Dirichlet series | Physical Sciences | Mathematics | Science & Technology
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 6/2018, Volume 186, Issue 2, pp. 215 - 233
Journal Article
Mathematical modelling and analysis, ISSN 1392-6292, 11/2017, Volume 22, Issue 6, pp. 733 - 749
In the paper, we obtain that certain linear and more general combinations of Dirichlet L-functions and Hurwitz zeta-functions have infinitely many zeros in the critical strip... 
universality | Dirichlet L-function | Hurwitz zeta-function | Rouché theorem | Mergelyan theorem | Physical Sciences | Mathematics | Science & Technology | Functions | Research | Functional equations | Mathematical research | Series, Dirichlet | Rouche theorem
Journal Article
Forum mathematicum, ISSN 0933-7741, 03/2012, Volume 24, Issue 2, pp. 239 - 251
It is shown that a broad class of generalized Dirichlet series (including the polylogarithm, related to the Riemann zeta-function... 
Dirichlet series and functional equations | Boltzmann equation | functions | Riemann Zeta and | Riemann Zeta and L-functions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
The Ramanujan journal, ISSN 1382-4090, 5/2018, Volume 46, Issue 1, pp. 91 - 102
With the help of transformation formulas of Dirichlet L-series, we generalize some classical formulas for the values $$\zeta (2N+1)$$ ζ(2N+1) given by Ramanujan... 
Dirichlet L -functions | Fourier Analysis | Eichler integral | 11M99 | Functions of a Complex Variable | Infinite series | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | Mellin transform | Dirichlet L-functions | Physical Sciences | Science & Technology | Mellin transforms | Dirichlet problem
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2015, Volume 194, Issue 4, pp. 1015 - 1024
In a recent work on Euler-type formulae for even Dirichlet beta values, i.e., $$\beta {(2n)}$$ β ( 2 n ) , I have derived an exact closed-form expression for a class of zeta series... 
Zeta series | 68W30 | Clausen function | 30B50 | Riemann zeta function | Mathematics, general | Mathematics | Dirichlet beta function | 11M06 | 65D15
Journal Article
Functiones et approximatio commentarii mathematici, ISSN 0208-6573, 12/2014, Volume 51, Issue 2, pp. 303 - 333
.... We shall also study the analytic continuation of several types of the Dirichlet series related with the circle problem, and study a proof of the functional equation of the Dedekind zeta-function... 
The Dedekind zeta-function | The circle problem | Analytic continuation | Periodic Bernoulli functions | analytic continuation | 11N37 | periodic Bernoulli functions | the circle problem | the Dedekind zeta-function
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2016, Volume 85, Issue 297, pp. 325 - 356
where \chi \operatorname {mod}^* q to the modulus q ]]> 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
1976, Graduate texts in mathematics, ISBN 354090185X, Volume 41, x, 198
Book
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2006, Volume 318, Issue 1, pp. 333 - 351
...-analogue of Riemann zeta function, q-analogue Hurwitz zeta function, q-analogue Dirichlet L-function and two-variable q–L-function... 
q-Hurwitz zeta function | q-Dirichlet L series | q-Riemann zeta | Dedekind sums | Two-variable L-series | Bernoulli functions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
1990, 2nd ed. --, Graduate texts in mathematics, ISBN 0387971270, Volume 41, x, 204
Book
Applied mathematics and computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 462 - 477
.... We then apply these to the corresponding computation of the Hurwitz zeta function and so of Dirichlet L-series and character polylogarithms. 
Lerch transcendent function | Incomplete gamma function | Dirichlet L-series | Character polylogarithms | Polylogarithms | Hurwitz zeta function | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
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