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Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 2018, Volume 168, Issue 3, pp. 543 - 566
.... 2010 Mathematics Subject Classification: 11F03 (Primary); 11M99 (Secondary) 1. Introduction Moments of L-functions, especially at the central point... 
2010 Mathematics Subject Classification | 11M99 (Secondary) | 11F03 (Primary) | 11F03 | MATHEMATICS | 11M99 | BOUNDS | COEFFICIENTS | VALUES | MAASS FORMS | Eigenvalues | Upper bounds | Weight
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 12/2012, Volume 396, Issue 1, pp. 199 - 214
For any real a>0 we determine the supremum of the real σ such that ζ(σ+it)=a for some real t. For 01 the results turn out to be quite... 
Zeta function | LLL algorithm | Extreme values | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 08/2018, Volume 125, Issue 7, pp. 593 - 601
For a fixed we say that a point (r, s) in the integer lattice is b-visible from the origin if it lies on the graph of a power function f(x) = ax b with and no... 
Primary 11P21 | Secondary 11M99 | MATHEMATICS | INTEGERS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 1/2008, Volume 258, Issue 1, pp. 133 - 142
... 11M99 · 33C20; Secondary 33E20 1 Introduction In this paper, k = (k 1 , k 2 ,...,k n ) will always denote a sequence of positive integers. For such a k = (k 1 , k 2... 
Primary 11M99 | Secondary 33E20 | Multiple zeta values | Mathematics, general | Mathematics | Primary 33C20 | Multiple polylogarithms | Generalized hypergeometric functions | MATHEMATICS | generalized hypergeometric functions | multiple polylogarithms | multiple zeta values
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 11/2008, Volume 91, Issue 5, pp. 409 - 415
... of the WZ method. Mathematics Subject Classification (2000). Primary 05A19, 11M99, 68R15; Secondary 11Y99. Keywords. Multiple zeta values, shuffle relations, WZ method. 1... 
shuffle relations | WZ method | Multiple zeta values | Mathematics, general | Mathematics | Secondary 11Y99 | Primary 05A19, 11M99, 68R15 | Shuffle relations | MATHEMATICS | Algorithms
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 08/2018, Volume 50, Issue 4, pp. 709 - 724
The 2kth pseudomoments of the Riemann zeta function ζ(s) are, following Conrey and Gamburd, the 2kth integral moments of the partial sums of ζ(s) on the... 
42B30 (secondary) | 11M99 (primary) | 11K70 | MATHEMATICS | NUMBER | INEQUALITIES | BOUNDS | DIRICHLET SERIES | RANDOM MULTIPLICATIVE FUNCTION | PRIMES | MOMENTS | SUMS
Journal Article
Mathematische annalen, ISSN 1432-1807, 2016, Volume 368, Issue 1-2, pp. 111 - 164
We show that if a differential equation F over a quasi-smooth Berkovich curve X has a certain compatibility condition with respect to an automorphism sigma of... 
Primary 12h25 | 11S80 | 11M99 | 11S40 | Secondary 12h05 | 11S20 | 34M55 | 12h10 | 58h15 | 11S15 | 12h99 | 12h20 | MATHEMATICS | FILTRATIONS | CONVERGENCE NEWTON POLYGON | Differential equations
Journal Article
Research in Number Theory, ISSN 2522-0160, 12/2018, Volume 4, Issue 4, pp. 1 - 19
... forms, Eichler integrals Mathematics Subject Classification: Primary: 11M06, Secondary: 11M99 1 Introduction This paper continues the study of L-functions... 
Modular forms | Eichler integrals | Primary: 11M06 | Infinite series | Secondary: 11M99 | L -functions | Mathematics | Number Theory | Mellin transform | L-functions
Journal Article
Results in Mathematics, ISSN 1422-6383, 12/2007, Volume 51, Issue 1, pp. 141 - 179
... )=# { d ∈D ,d ≤ n θ : d | B n } and D is a sequence of positive integers. Mathematics Subject Classification (2000). Primary 11M06; Secondary 11M99, 11A25, 60G50... 
Bernoulli random variables | iid | Theta functions | divisors | Mathematics, general | Mathematics | Primary 11M06 | Secondary 11M99, 11A25, 60G50 | Divisors | Iid | MATHEMATICS | MATHEMATICS, APPLIED | Probability | Number Theory
Journal Article
by Orr, D
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, ISSN 1065-2469, 2017, Volume 28, Issue 12, pp. 966 - 987
In this paper, we find rational zeta series with.( 2n) in terms of.( 2k + 1) and ( 2k), the Dirichlet beta function. We then develop a certain family of... 
MATHEMATICS | MATHEMATICS, APPLIED | negapolygammas | polygamma function | Clausen function | Clausen integral | Riemann zeta function | Dirichlet beta function | rational zeta series | Mathematics - Number Theory
Journal Article
by Dong, D and Meng, X
Acta Mathematica Hungarica, ISSN 0236-5294, 12/2014, Volume 144, Issue 2, pp. 353 - 366
.... Mathematics Subject Classification: primary 11M99, secondary 11N37. 0236-5294/$20.00 © 2014 Akade ´miai Kiado ´, Budapest, Hungary l i=1 p β i i , where n = l i=1 p α... 
Riemann zetafunction | asymptotic formula | irrational factor | primary 11M99 | Perron’s formula | secondary 11N37 | Mathematics, general | Mathematics | Dirichlet series | k -free number | k-free number | MATHEMATICS | Riernann zetafunction | Perron's formula | Sects
Journal Article
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, ISSN 0025-5858, 4/2015, Volume 85, Issue 1, pp. 23 - 41
For positives integers $$\alpha _{1}, \alpha _{2}, \ldots , \alpha _{r}$$ α 1 , α 2 , … , α r with $$\alpha _{r} \ge 2$$ α r ≥ 2 , the multiple zeta value or... 
33E99 | Weighted sum formula | Multiple zeta values | Mathematics | Topology | Geometry | Algebra | Secondary 11M99 | 40B05 | Mathematics, general | Number Theory | Differential Geometry | Drinfeld integral | Shuffle product | Primary 40A25 | MATHEMATICS
Journal Article
Lithuanian mathematical journal, ISSN 0363-1672, 01/2015, Volume 55, Issue 1, pp. 102 - 118
In the first part of this paper, we summarize our previous results on infinite series involving the hyperbolic sine function, especially, with a focus on the... 
q-zeta functions | Barnes multiple zeta-functions | Hurwitz’s formula | hyperbolic functions | Jacobi theta function | Eisenstein series | Hurwitz numbers | Lemniscate constant | MATHEMATICS | ZETA-FUNCTIONS | Hurwitz's formula | FORMULA | Mathematics - Number Theory
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 10/2008, Volume 91, Issue 4, pp. 330 - 338
For positive integers $$\alpha_{1}, \alpha_{2}, \ldots ,\alpha_{r}$$ with a r  = 2, the multiple zeta value or r-fold Euler sum is defined as [2] $$ \varsigma... 
sum formula | Secondary 11M99, 33E99 | multiple zeta values | Euler sums | Mathematics, general | Primary 40A25, 40B05 | Mathematics | Drinfeld integral | Multiple zeta values | Sum formula | MATHEMATICS
Journal Article
Acta Mathematica Hungarica, ISSN 0236-5294, 11/2008, Volume 121, Issue 3, pp. 293 - 305
We study the irrational factor function I(n) introduced by Atanassov and defined by $$ I(n) = \prod\nolimits_{\nu = 1}^k {p_\nu ^{1/\alpha _\nu } } $$ , where... 
primary 11M99 | 11A41 | Irrational factor | averages | Mathematics, general | Mathematics | Dirichlet series | secondary 11A25 | 11N37 | arithmetic functions | Riemann zeta-function | Arithmetic functions | Averages | MATHEMATICS
Journal Article
Results in Mathematics, ISSN 1422-6383, 12/2010, Volume 58, Issue 3, pp. 365 - 378
... and Ramanujan. Mathematics Subject Classification (2000). Primary 11M41; Secondary 11M99. Keywords. Eisenstein series, Hurwitz numbers, hyperbolic functions, Lemniscate... 
hyperbolic functions | Primary 11M41 | Secondary 11M99 | Mathematics, general | Eisenstein series | Mathematics | Riemann zeta-function | Hurwitz numbers | Lemniscate constant | MATHEMATICS | MATHEMATICS, APPLIED | Heterocyclic compounds
Journal Article
Results in Mathematics, ISSN 1422-6383, 2/2009, Volume 53, Issue 1, pp. 197 - 200
.... The computation of the multiplicative function ρ k ( D ) in Proposition 2.10 was incorrect. Mathematics Subject Classification (2000). Primary 11M06; Secondary 11M99, 11A25... 
Bernoulli random variables | iid | Theta functions | divisors | Mathematics, general | Mathematics | Primary 11M06 | Secondary 11M99, 11A25, 60G50 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Numerical Algorithms, ISSN 1017-1398, 12/2008, Volume 49, Issue 1, pp. 129 - 141
Journal Article
Compositio mathematica, ISSN 0010-437X, 10/2003, Volume 139, Issue 1, pp. 85 - 100
We prove some new evaluations for multiple polylogarithms of arbitrary depth. The simplest of our results is a multiple zeta evaluation one order of complexity... 
hypergeometric functions | multiple zeta values | MZV | Euler sums | Mathematics, general | Mathematics | multiple polylogarithms | Hypergeometric functions | Multiple zeta values | Multiple polylogarithms | POLYLOGARITHMS | MATHEMATICS | HARMONIC SERIES
Journal Article
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