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Journal of Number Theory, ISSN 0022-314X, 08/2019, Volume 201, pp. 148 - 175
We define and study the interpolated finite multiple harmonic q-series. A generating function of the sums of the interpolated finite multiple harmonic q-series with fixed weight, depth and i-height is computed... 
Interpolated finite q-multiple polylogarithms | Difference equation | Interpolated finite multiple harmonic q-series | Interpolated finite q-multiple polylogarithrns | MATHEMATICS | FIXED WEIGHT | ZETA VALUES | DEPTH
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 4/2010, Volume 21, Issue 3, pp. 335 - 347
Journal Article
COMPOSITIO MATHEMATICA, ISSN 0010-437X, 12/2018, Volume 154, Issue 12, pp. 2701 - 2721
We study the values of finite multiple harmonic q-series at a primitive root of unity and show that these specialize to the finite multiple zeta value (FMZV... 
MATHEMATICS | finite multiple harmonic q-series | symmetric multiple zeta (star) values | finite multiple zeta (star) values | Kaneko-Zagier conjecture | multiple zeta (star) values | SUM FORMULA | Mathematics - Number Theory
Journal Article
Discrete Mathematics, ISSN 0012-365X, 2005, Volume 300, Issue 1, pp. 44 - 56
We define two finite q-analogs of certain multiple harmonic series with an arbitrary number of free parameters, and prove identities for these q-analogs, expressing them in terms of multiply nested... 
Multiple zeta values | Duality | q-series | Finite q-analog | Multiple harmonic series | Gaussian binomial coefficients | MATHEMATICS | ZETA-VALUES | IDENTITIES | multiple zeta values | ALGEBRA | finite q-analog | multiple harmonic series | duality | COMBINATORICS
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2019, Volume 67, Issue 6, pp. 1508 - 1521
Journal Article
Research in the Mathematical Sciences, ISSN 2522-0144, 3/2018, Volume 5, Issue 1, pp. 1 - 34
In recent literature, moonshine has been explored for some groups beyond the Monster, for example the sporadic O’Nan and Thompson groups. This collection of... 
Computational Mathematics and Numerical Analysis | Modular forms | Finite groups | Mathematics, general | Mathematics | 11F30 | Applications of Mathematics | Moonshine | 20C05 | 11F11 | 11F33 | MATHEMATICS | MODULAR-INVARIANCE
Journal Article
Discrete Mathematics and Theoretical Computer Science, ISSN 1365-8050, 2004, Volume 6, Issue 2, pp. 365 - 386
We give an overview of how a huge class of multisum identities can be proven and discovered with the summation package Sigma implemented in the computer... 
Rhombus tilings | Symbolic summation | HYPERGEOMETRIC SOLUTIONS | MATHEMATICS, APPLIED | NUMBER | IDENTITIES | DIFFERENCE-EQUATIONS | FAST ALGORITHM | HOLONOMIC FUNCTIONS | FINITE TERMS | symbolic summation | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS | rhombus tilings | INTEGRATION | Computer Science | Discrete Mathematics
Journal Article
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