1 |
K. Onodera, Generalized log sine integrals and the Mordell-Tornheim zeta values, Trans. Amer. Math. Soc. 363 (2011) 1463–1485.
DOI
|
2 |
G. Shimura, Elementary Dirichlet series and modular forms, Springer, 2007.
|
3 |
M.V. Subbarao and R. Sitaramachandra Rao, On the infinite seriers of L. J. Mordell and their analogues, Pacific J. Math 119 (1985), 245–255.
DOI
|
4 |
Z.-W. Sun, Introduction to Bernoulli and Euler polynomials, A Lecture Given in Taiwan on June 6, 2002. http://math.nju.edu.cn/zwsun/BerE.pdf.
|
5 |
H. Tsumura, On alternating analogues of Tornheim’s double series, Proc. Amer. Math. Soc. 131 (2003), no. 12, 3633–3641.
DOI
|
6 |
H. Tsumura, Multiple harmonic series related to multiple Euler numbers, J. Number Theory 106 (2004), no. 1, 155–168.
DOI
|
7 |
J.C. Wilson, On Franel-Kluyver integrals of order three, Acta Arith. 66 (1994) 71–87.
DOI
|
8 |
T. Agoh and K. Dilcher, Integrals of products of Bernoulli polynomials, J. Math. Anal. Appl. 381 (2011) 10–16.
DOI
|
9 |
L. Carlitz, Note on the integral of the product of several Bernoulli polynomials, J. London Math. Soc. 34 (1959) 361–363.
DOI
|
10 |
D. Cvijović and J. Klinowski, New formulae for the Bernoulli and Euler polynomials at rational arguments, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1527–1535.
DOI
|
11 |
M. Cihat Dagli, M. Can, On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials, http://arxiv.org/abs/1412.7363.
|
12 |
O. Espinosa and V.H. Moll, The evaluation of Tornheim double sums. I, J. Number Theory 116 (2006) 200–229.
DOI
|
13 |
S. Hu, D. Kim and M.-S. Kim, On the integral of the product of four and more Bernoulli polynomials, Ramanujan J. 33 (2014), 281–293.
DOI
|
14 |
J. Liu, H. Pan and Y. Zhang, On the integral of the product of the Appell polynomials, Integral Transforms Spec. Funct. 25 (2014), no. 9, 680–685.
DOI
|
15 |
L.J. Mordell, On the evaluation of some multiple series, J. London Math. Soc. 33 (1958) 368–371.
DOI
|
16 |
L.J. Mordell, Integral formulae of arithmetical character, J. London Math. Soc. 33 (1958) 371–375.
DOI
|
17 |
N. Nielsen, Traité elementaire des nombres de Bernoulli, Gauthier-Villars, Paris, 1923.
|
18 |
N.E. Nörlund, Vorlesungen uber Differenzenrechnung, Springer-Verlag, Berlin, 1924.
|
19 |
T. Arakawa, T. Ibukiyama, and M. Kaneko, Bernoulli Numbers and Zeta Functions, with an appendix by Don Zagier, Springer, Japan 2014.
|
20 |
M. Abramowitz and I. Stegun (eds.), Handbook of mathematical functions with formulas, graphs and mathematical tables, Dover, New York, 1972.
|