Found 271 Documents (Results 1–100)
Generating function of \(q\)- and elliptic multiple polylogarithms of Hurwitz type. (English) Zbl 07877646
Relations of multiple \(t\)-values of general level. (English) Zbl 07864375
Reviewer: Sami Omar (Sukhair)
Generating functions of multiple \(t\)-star values. (English) Zbl 07858267
Reviewer: Sami Omar (Sukhair)
A unified approach to \(q\)MZVs. (English) Zbl 07852323
Reviewer: Sami Omar (Sukhair)
MSC:
11M32
Large \(N\) and large representations of Schur line defect correlators. (English) Zbl 07821579
MSC:
81-XX
On arithmetic nature of a \(q\)-Euler-double zeta values. (English) Zbl 07810103
Reviewer: Sami Omar (Sukhair)
Extensions of MacMahon’s sums of divisors. (English) Zbl 07809832
Reviewer: Sami Omar (Sukhair)
Unit cyclotomic multiple zeta values for \(\mu_2, \mu_3\) and \(\mu_4\). (English) Zbl 07801734
Reviewer: Zhonghua Li (Shanghai)
MSC:
11M32
Generating function of multiple polylog of Hurwitz type. (English) Zbl 07787679
Reviewer: Jiangtao Li (Beijing)
MSC:
11M32
Partitions, multiple zeta values and the \(q\)-bracket. (English) Zbl 1539.11130
Reviewer: Mircea Merca (Cornu de Jos)
The triangle algorithm for Bernoulli polynomials. (English) Zbl 07856146
MSC:
11B68
Another proof of Kaneko-Ohno’s duality formula for multiple zeta star values. (English) Zbl 07797454
Reviewer: Sami Omar (Sukhair)
MSC:
11M32
Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function. (English) Zbl 07789455
Reviewer: Sami Omar (Sukhair)
Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors. (English) Zbl 1532.11005
Ohno relation for regularized multiple zeta values. (English) Zbl 07784647
Reviewer: Sami Omar (Sukhair)
MSC:
11M32
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height. (English) Zbl 1541.11074
Reviewer: Jianqiang Zhao (La Jolla)
MSC:
11M32
Supercongruences of multiple harmonic \(q\)-sums and generalized finite/symmetric multiple zeta values. (English) Zbl 1528.11088
A note on the sum of finite multiple harmonic \(q\)-series on \(r - (r+1)\) indices. (English) Zbl 1541.11073
Reviewer: Sami Omar (Sukhair)
Global series for height 1 multiple zeta functions. (English) Zbl 1537.11117
Reviewer: Zhonghua Li (Shanghai)
On interpolated multiple \(L\)-values. (English) Zbl 1533.11157
Reviewer: Wataru Takeda (Tōkyō)
MSC:
11M32
Ohno-Zagier type relations for multiple \(t\)-values. (English) Zbl 07716582
Reviewer: Sami Omar (Sukhair)
On three general forms of multiple zeta(-star) values. (English) Zbl 07712222
Reviewer: Sami Omar (Sukhair)
On \(s\)-Stirling transform and poly-Cauchy numbers of the second kind with level 2. (English) Zbl 1520.11033
On the linear relations among parametrized multiple series. (English) Zbl 07673430
Reviewer: Sami Omar (Sukhair)
MSC:
11M32
On a parametric \(K\)-fold series and its connection to Nielsen-Kölbig relations. (English) Zbl 1520.11079
Reviewer: Roma Kačinskaitė (Vilnius)
MSC:
11M32
Proof of Kaneko-Tsumura conjecture on triple \(T\)-values. (English) Zbl 1516.11083
Reviewer: Wataru Takeda (Tokyo)
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers. (English. French summary) Zbl 1509.05027
Explicit relations between Kaneko-Yamamoto type multiple zeta values and related variants. (English) Zbl 1506.11113
Reviewer: Sami Omar (Sukhair)
Subconvexity of Shintani’s zeta function. (English) Zbl 1507.11081
Reviewer: Wen-Wei Li (Beijing)
Cyclic relation for multiple zeta functions. (English) Zbl 1498.11187
MSC:
11M32
Ohno-type relation for interpolated multiple zeta values. (English) Zbl 1505.11117
Reviewer: István Mező (Nanjing)
Algebraic relations of interpolated multiple zeta values. (English) Zbl 1516.11084
Reviewer: Jianqiang Zhao (La Jolla)
Weak stuffle algebras. (English) Zbl 1493.05298
Connectors of the Ohno relation for parametrized multiple series. (English) Zbl 1497.11220
Reviewer: Wataru Takeda (Tokyo)
MSC:
11M32
On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations. (English) Zbl 1510.11074
Variants of multiple zeta values with even and odd summation indices. (English) Zbl 1503.11121
Reviewer: Shigeru Kanemitsu (Kitakyushu)
Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform. (English) Zbl 1512.11030
Reviewer: Zhihong Sun (Huaian)
Multivariable connected sums and multiple polylogarithms. (English) Zbl 1497.11218
Reviewer: István Mező (Nanjing)
Yamamoto’s interpolation of finite multiple zeta and zeta-star values. (English) Zbl 1492.11128
Reviewer: Zhonghua Li (Shanghai)
The connector for the double Ohno relation. (English) Zbl 1495.11106
Reviewer: Federico Zerbini (Gif-sur-Yvette)
On variants of symmetric multiple zeta-star values and the cyclic sum formula. (English) Zbl 1485.11131
Ohno-type relations for classical and finite multiple zeta-star values. (English) Zbl 1490.11087
Reviewer: István Mező (Nanjing)
A congruence between symmetric multiple zeta-star values and multiple zeta-star values. (English) Zbl 1484.11177
Reviewer: Yilmaz Simsek (Antalya)
MSC:
11M32
On the total number of prime factors of an odd perfect number. (English) Zbl 1487.11007
Reviewer: Pace Nielsen (Provo)
Explicit relations between multiple zeta values and related variants. (English) Zbl 1484.11181
Reviewer: Yilmaz Simsek (Antalya)
Some weighted sum formulas for multiple zeta, Hurwitz zeta, and alternating multiple zeta values. (English) Zbl 1477.11158
Single-valued integration and superstring amplitudes in genus zero. (English) Zbl 1483.81117
Reviewer: Harold Erbin (Boston)
Recursion formulas for poly-Bernoulli numbers and their applications. (English) Zbl 1478.11028
Reviewer: Mohammad K. Azarian (Evansville)
Some relations deduced from regularized double shuffle relations of multiple zeta values. (English) Zbl 1483.11186
Reviewer: István Mező (Nanjing)
MSC:
11M32
Hypergeometric Euler numbers. (English) Zbl 1484.11077
On multiple zeta values of level two. (English) Zbl 1469.11327
MSC:
11M32
On certain two-parameter deformations of multiple zeta values. (English) Zbl 1480.11110
Reviewer: Zhonghua Li (Shanghai)
Interpolated multiple zeta functions of Arakawa-Kaneko type. (English) Zbl 1479.11150
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 361-366 (2020).
Reviewer: Zhonghua Li (Shanghai)
Recurrence formulas for poly-Bernoulli polynomials. (English) Zbl 1476.11055
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 353-360 (2020).
MSC:
11B68
Zeta functions connecting multiple zeta values and poly-Bernoulli numbers. (English) Zbl 1476.11120
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 181-204 (2020).
Multiple zeta functions and polylogarithms over global function fields. (English. French summary) Zbl 1465.11181
On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values. (English) Zbl 1460.11114
Reviewer: István Mező (Nanjing)
MSC:
11M32
A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. (English) Zbl 1446.11037
Ukr. Math. J. 72, No. 4, 536-554 (2020) and Ukr. Mat. Zh. 72, No. 4, 467-482 (2020).
Explicit formulas of some mixed Euler sums via alternating multiple zeta values. (English) Zbl 1443.11184
The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer. (English) Zbl 1448.05209
On \(D_\ell\)-extensions of odd prime degree \(\ell\). (English) Zbl 1466.11082
Reviewer: Władysław Narkiewicz (Wrocław)
Evaluating generating functions for periodic multiple polylogarithms via rational Chen-Fliess series. (English) Zbl 1456.11161
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 445-468 (2020).
\(q\)-analogues of multiple zeta values and their application in renormalization. (English) Zbl 1444.81028
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 293-325 (2020).
Uniform approach to double shuffle and duality relations of various \(q\)-analogs of multiple zeta values via Rota-Baxter algebras. (English) Zbl 1444.81023
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 259-292 (2020).
A dimension conjecture for \(q\)-analogues of multiple zeta values. (English) Zbl 1444.81021
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 237-258 (2020).
Multiple Eisenstein series and \(q\)-analogues of multiple zeta values. (English) Zbl 1455.11123
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 173-235 (2020).
Cyclic sums of finite multiple zeta values. (English) Zbl 1461.11116
Reviewer: Jiangtao Li (Peking)
Quasi-shuffle algebras and applications. (English) Zbl 1439.11222
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 327-348 (2020).
Mould calculus: from primary to secondary mould symmetries. (English) Zbl 1457.16028
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 19-84 (2020).
Special values of finite multiple harmonic \(q\)-series at roots of unity. (English) Zbl 1439.11218
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 1-18 (2020).
MSC:
11M32
On sum formulas for Mordell-Tornheim zeta values. (English) Zbl 1456.11165
MSC:
11M32
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