Found 136 Documents (Results 1–100)
Intersection of duality and derivation relations for multiple zeta values. (English) Zbl 1543.11078
Reviewer: Sami Omar (Sukhair)
MSC:
11M32
On arithmetic nature of a \(q\)-Euler-double zeta values. (English) Zbl 07810103
Reviewer: Sami Omar (Sukhair)
The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts. (English) Zbl 1542.11082
Reviewer: Sami Omar (Sukhair)
A \(q\)-analogue of symmetric multiple zeta value. (English) Zbl 1531.05021
Reviewer: Mahmoud Annaby (Giza)
Subconvexity of a double Dirichlet series over the Gaussian field. (English) Zbl 1542.11075
Reviewer: Sami Omar (Sukhair)
Combinatorial multiple Eisenstein series. (English) Zbl 07735431
Reviewer: Zhonghua Li (Shanghai)
Mean value theorems for the Apostol-Vu double zeta-function and its application. (English) Zbl 1542.11080
Reviewer: Sami Omar (Sukhair)
Bounds for the Tornheim double zeta function. (English) Zbl 1512.11064
Reviewer: Sami Omar (Sukhair)
The Betti side of the double shuffle theory. II: Double shuffle relations for associators. (English) Zbl 1523.11153
Algebraic relations of interpolated multiple zeta values. (English) Zbl 1516.11084
Reviewer: Jianqiang Zhao (La Jolla)
Another proof of Zagier’s matrix conjecture. (English) Zbl 1503.11045
Reviewer: István Mező (Nanjing)
On a unified double zeta function of Mordell-Tornheim type. (English) Zbl 1492.11126
Reviewer: Yilmaz Simsek (Antalya)
MSC:
11M32
Rapidly convergent series representations of symmetric Tornheim double zeta functions. (English) Zbl 1499.11273
MSC:
11M32
Symmetric Tornheim double zeta functions. (English) Zbl 1473.11170
MSC:
11M32
Elliptic multizetas and the elliptic double shuffle relations. (English) Zbl 1486.11107
Reviewer: Zhonghua Li (Shanghai)
MSC:
11M32
Some relations deduced from regularized double shuffle relations of multiple zeta values. (English) Zbl 1483.11186
Reviewer: István Mező (Nanjing)
MSC:
11M32
Truncated \(t\)-adic symmetric multiple zeta values and double shuffle relations. (English) Zbl 1469.11331
Phase portraits of bi-dimensional zeta values. (English) Zbl 1503.11115
Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 393-405 (2020).
Confluence relations for the multiple zeta values. (Japanese. English summary) Zbl 1461.11118
Elliptic double shuffle, Grothendieck-Teichmüller and mould theory. (English. French summary) Zbl 1470.14048
Reviewer: Hiroaki Nakamura (Osaka)
Mould theory and the double shuffle Lie algebra structure. (English) Zbl 1444.81022
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, 399-430 (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).
Double shuffle relations for refined symmetric multiple zeta values. (English) Zbl 1448.11165
MSC:
11M32
Three Hopf algebras from number theory, physics & topology, and their common background. I: Operadic & simplicial aspects. (English) Zbl 1468.18021
Reviewer: Johannes Flake (Aachen)
Approximate functional equation and upper bounds for the Barnes double zeta-function. (English) Zbl 1444.11185
MSC:
11M32
Iterated integrals on \(\mathbb{P}^1 \setminus \{0, 1, \infty, z \}\) and a class of relations among multiple zeta values. (English) Zbl 1457.11117
Reviewer: István Mező (Nanjing)
Mean values of the Barnes double zeta-function. (English) Zbl 1448.11169
MSC:
11M32
On the duality and the derivation relations for multiple zeta values. (English) Zbl 1444.11182
MSC:
11M32
Derivation relations and duality for the sum of multiple zeta values. (English) Zbl 1441.11219
MSC:
11M32
On Euler’s formulae for double zeta values. (English) Zbl 1429.11165
MSC:
11M32
Subconvexity for a double Dirichlet series and non-vanishing of \(L\)-functions. (English) Zbl 1462.11069
Reviewer: Zhonghua Li (Shanghai)
A new integral-series identity of multiple zeta values and regularizations. (English) Zbl 1435.11114
Reviewer: Shingo Saito (Kyushu)
MSC:
11M32
Alternating double Euler sums, hypergeometric identities and a theorem of Zagier. (English) Zbl 1436.11110
Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers. (English) Zbl 1374.11030
Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients. (English) Zbl 1421.11066
On shuffle of double Eisenstein series in positive characteristic. (English. French summary) Zbl 1432.11118
Double shuffle and Hoffman’s relations for interpolated multiple zeta values. (English) Zbl 1428.11152
MSC:
11M32
Period polynomial relations of binomial coefficients and binomial realization of formal double zeta space. (English) Zbl 1416.11136
Double tails of multiple zeta values. (English) Zbl 1398.11111
MSC:
11M32
Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions. (English) Zbl 1384.60052
Some weighted sum identities for double zeta values. (English) Zbl 1356.11062
Reviewer: István Mező (Debrecen)
Duality and (\(q\)-)multiple zeta values. (English) Zbl 1355.11087
Reviewer: Yilmaz Simsek (Antalya)
Period polynomial relations between formal double zeta values of odd weight. (English) Zbl 1416.11135
On \(q\)-analogues of multiple zeta values. (English) Zbl 1388.11065
MSC:
11M32
On functional relations for the alternating analogues of Tornheim’s double zeta function. (English) Zbl 1382.11067
Double shuffle relations of double zeta values and the double Eisenstein series at level \(N\). (English) Zbl 1391.11107
On certain mean values of the double zeta-function. (English) Zbl 1369.11066
Reviewer: Zhonghua Li (Shanghai)
MSC:
11M32
Unfolding the double shuffle structure of \(q\)-multiple zeta values. (English) Zbl 1379.11076
Reviewer: Zhonghua Li (Shanghai)
Mean value theorems for the double zeta-function. (English) Zbl 1355.11088
Reviewer: Renata Macaitiene (Vilnius)
Multiple \(q\)-zeta brackets. (English) Zbl 1312.11069
MSC:
11M32
On the summability of bivariate rational functions. (English) Zbl 1301.33003
Reviewer: Cristinel Mortici (Târgovişte)
A converse theorem for double Dirichlet series and Shintani zeta functions. (English) Zbl 1311.11043
Reviewer: Zhonghua Li (Shanghai)
On a conjecture for representations of integers as sums of squares and double shuffle relations. (English) Zbl 1392.11021
A functional relation for Tornheim’s double zeta functions. (English) Zbl 1292.11096
Reviewer: István Mező (Debrecen)
MSC:
11M32
Generators for vector spaces spanned by double zeta values with even weight. (English) Zbl 1285.11111
Extended double shuffle relations and the generating function of triple zeta values of any fixed weight. (English) Zbl 1318.11111
MSC:
11M32
Explicit double shuffle relations and a generalization of Euler’s decomposition formula. (English) Zbl 1275.11122
Another proof of \(\zeta(2)=\frac{\pi^{2}}{6}\) using double integrals. (English) Zbl 1284.40003
Reviewer: Cristinel Mortici (Târgovişte)
An analogue of the Dedekind-Rademacher sum and certain ray class invariants of real quadratic fields. (English) Zbl 1276.11058
Reviewer: Kaori Ota (Tokyo)
Regularized double shuffle and Ohno-Zagier relations of multiple zeta values. (English) Zbl 1292.11095
MSC:
11M32
Remarks on double zeta values of level 2. (English) Zbl 1310.11092
MSC:
11M32
Geometric interpretation of double shuffle relation for multiple \(L\)-values. (English) Zbl 1321.11089
Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 163-187 (2012).
Toroidal automorphic forms, Waldspurger periods and double Dirichlet series. (English) Zbl 1277.11050
Bump, Daniel (ed.) et al., Multiple Dirichlet series, \(L\)-functions and automorphic forms. New York, NY: Birkhäuser (ISBN 978-0-8176-8333-7/hbk; 978-0-8176-8334-4/ebook). Progress in Mathematics 300, 131-146 (2012).
A simple proof of the functional relation for the Lerch type Tornheim double zeta function. (English) Zbl 1276.11143
On a certain convolution of polylogarithms. (English) Zbl 1277.11088
Reviewer: Olaf Ninnemann (Berlin)
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