Found 366 Documents (Results 1–100)
A hybrid mean value involving hyper-Kloosterman sums and \(m\)th Cochrane sum. (English) Zbl 07901307
Reviewer: Alexey Ustinov (Khabarovsk)
Reciprocity formulae for generalized Dedekind-Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae. (English) Zbl 07872245
Reviewer: Michael Th. Rassias (Vari)
An injective-envelope-based characterization of distributive modules over commutative Noetherian rings. (English) Zbl 1537.13034
Reviewer: T. Tamizh Chelvam (Tirunelveli)
A necessary and sufficient condition for a direct sum of modules to be distributive. (English) Zbl 1539.13026
Reviewer: Tiberiu Dumitrescu (Bucureşti)
The equidistribution of elliptic Dedekind sums and generalized Selberg-Kloosterman sums. (English) Zbl 07801560
Reviewer: Sami Omar (Sukhair)
On the distribution of partial quotients of reduced fractions with fixed denominator. (English) Zbl 07789120
Reviewer: Florian Luca (Johannesburg)
Absorbing prime multiplication modules over a pullback ring. (English) Zbl 1537.13015
Reviewer: Radoslav M. Dimitrić (New York)
Product of some polynomials and arithmetic functions. (English) Zbl 1533.11008
Reviewer: Mehdi Hassani (Zanjan)
MSC:
11A25
Holomorphic Eisenstein series of rational weights and special values of Gamma function. (English) Zbl 07771576
Reviewer: Tim Huber (Edinburg)
Classification of 1-absorbing comultiplication modules over a pullback ring. (English) Zbl 1521.13013
Evaluation of certain convolution sums involving the sum of the divisors function. (English) Zbl 1510.11020
Quasi semiprime multiplication modules over a pullback of a pair of Dedekind domains. (English) Zbl 1520.13014
Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum. (English) Zbl 07650949
An algebraic approach to \(q\)-partial fractions and Sylvester denumerants. (English) Zbl 1510.11147
Transitivity of perspectivity. (English) Zbl 1491.16006
A characterization of length-factorial Krull monoids. (English) Zbl 1484.13044
Reviewer: Muhammad Zafrullah (Pocatello)
Series expansion of a cotangent sum related to the Estermann zeta function. (English) Zbl 1488.11102
Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums. (English) Zbl 1474.11107
Reviewer: Min Ho Lee (Cedar Falls)
A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions. (English) Zbl 1455.13002
Piltz divisor problem over number fields à la Voronoï. (English) Zbl 1470.11295
Reviewer: Robert W. van der Waall (Amsterdam)
On the hybrid mean value of generalized Dedekind sums, generalized Hardy sums and Ramanujan sum. (English) Zbl 1499.11185
Reviewer: Mihály Szalay (Budapest)
On the hybrid mean of new Dedekind sums. (Chinese. English summary) Zbl 1474.11108
MSC:
11F20
Another regular Menon-type identity in residually finite Dedekind domains. (English) Zbl 1474.11009
Reviewer: Stelian Mihalas (Timişoara)
The Petersson-Knopp identity and Farey points. (English) Zbl 1475.11070
Reviewer: Matthias Beck (San Francisco)
MSC:
11F20
A new summation formula for \(_2\psi_2\) basic bilateral hypergeometric series by \(q\)-exponential operator technique. (English) Zbl 1463.33031
Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums. (English) Zbl 1445.11027
Reviewer: Huaning Liu (Xi’an)
On congruence half-factorial Krull monoids with cyclic class group. (English) Zbl 1456.20015
Reviewer: C. P. Anil Kumar (Chennai)
The convolution sum \(\sum_{al+bm=n}\sigma(l)\sigma(m)\) for \((a,b) = (1,28),(4,7),(1,14),(2,7),(1,7)\). (English) Zbl 1455.11011
A characterization of class groups via sets of lengths. (English) Zbl 1447.11011
Reviewer: Qinghai Zhong (Graz)
Evaluation of the convolution sum \(\sum_{Al+bm=n} \sigma(l) \sigma(m)\) for \((a,b)=(1,48),(3,16),(1,54),(2,27)\). (English) Zbl 1459.11011
A bound for the Casson-Walker invariant of rational homology null cobordant lens spaces. (English) Zbl 1457.57024
On the moduli of a Dedekind sum. (English) Zbl 1443.11038
MSC:
11F20
Ramanujan’s convolution sum twisted by Dirichlet characters. (English) Zbl 1460.11005
Reviewer: Emmanuel Royer (Aubière)
Characterization of Kollár surfaces. (English) Zbl 1420.14080
Reviewer: Matthias Schütt (Hannover)
On the mean value of Hardy sum with composite moduli. (Chinese. English summary) Zbl 1399.11115
Evaluation of the convolution sums \(\displaystyle\sum_{ak + bl + cm = n} \sigma(k) \sigma(l) \sigma(m)\) with \(\mathrm{lcm}(a, b, c) = 7, 8\) or \(9\). (English) Zbl 1428.11018
A characterization of finite abelian groups via sets of lengths in transfer Krull monoids. (English) Zbl 1455.20034
Reviewer: Hwankoo Kim (Asan)
Sets of minimal distances and characterizations of class groups of Krull monoids. (English) Zbl 1426.11005
Mean values of the Hardy sum. (English) Zbl 1424.11094
MSC:
11F20
Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. (English) Zbl 1434.11036
Fontana, Marco (ed.) et al., Rings, polynomials, and modules. Proceedings of the conferences “Recent advances in commutative ring and module theory”, Bressanone/Brixen, Italy, June 13–17, 2016 and “Conference on rings and polynomials”, Graz, Austria, July 3–8, 2016. Cham: Springer. 191-235 (2017).
Evaluation of the convolution sums \(\Sigma_{al+bm=n}\,l \sigma(l)\sigma(m)\) with \(ab\leq 9\). (English) Zbl 1430.11007
Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. (English) Zbl 1441.20041
Reviewer: Günter Lettl (Graz)
A distribution of rational homology 3-spheres captured by the CWL invariant phase 1. (English) Zbl 1391.57006
Reviewer: Cynthia L. Curtis (Ewing)
MSC:
57M27
11F20
Evaluation of the convolution sums \(\displaystyle\sum_{a_1m_1+a_2m_2+a_3m_3+a_4m_4=n}\sigma(m_1)\sigma(m_2)\sigma(m_3)\sigma(m_4)\) with \(\text{lcm}(a_1,a_2,a_3,a_4)\le 4\). (English) Zbl 1411.11007
A characterization of class groups via sets of lengths. II. (English. French summary) Zbl 1410.11121
Upper bound estimate of incomplete Cochrane sum. (English) Zbl 1429.11082
Reviewer: Olaf Ninnemann (Uffing am Staffelsee)
On the theorem of Davenport and generalized Dedekind sums. (English) Zbl 1359.11069
Reviewer: Yukio Ohkubo (Kagoshima)
New trigonometric identities and reciprocity laws of generalized Dedekind sums. (English) Zbl 1416.11062
Reviewer: Kaori Ota (Tokyo)
Dedekind sums and the transformation formula in function fields. (English) Zbl 1352.11053
Reviewer: Mehmet Cenkci (Antalya)
Fractional parts of Dedekind sums in function fields. (English) Zbl 1365.11043
Reviewer: Kaori Ota (Tokyo)
Very flat, locally very flat, and contraadjusted modules. (English) Zbl 1348.13018
Reviewer: Moshe Roitman (Haifa)
Evaluation of the convolution sums \(\sum_{ak+bl+cm}=\sigma(k)\sigma(l)\sigma(m)\) with \(\text{lcm}(a,b,c) \leq 6\). (English) Zbl 1396.11006
Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum. (English) Zbl 1377.11022
Some arithmetic properties of the CWL invariant. (English) Zbl 1338.57015
Reviewer: Kenneth A. Perko jun. (New York)
MSC:
57M27
An alternative transformation formula for the Dedekind \(\eta\)-function via the Chinese remainder theorem. (English) Zbl 1396.11066
MSC:
11F20
On Dedekind sums with equal values. (English) Zbl 1338.11051
Reviewer: Kaori Ota (Tokyo)
MSC:
11F20
Evaluation of the convolution sums \(\sum_{l+27m=n}{\sigma}(l){\sigma}(m)\) and \(\sum_{l+32m=n}{\sigma}(l){\sigma}(m)\). (English) Zbl 1360.11010
On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions. (English) Zbl 1402.11064
Mean values of the homogeneous Dedekind sums. (English) Zbl 1433.11043
MSC:
11F20
On products of \(k\) atoms. II. (English) Zbl 1381.20047
Reviewer: Władysław Narkiewicz (Wrocław)
Ternary quadratic forms and eta quotients. (English) Zbl 1336.11033
Reviewer: Kaori Ota (Tokyo)
Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums. (English) Zbl 1332.11050
Reviewer: Huaning Liu (Shaanxi)
Ohtsuki invariants of the Brieskorn-Hamm manifolds and their inequalities. (English) Zbl 1335.57007
Reviewer: Wolfgang Heil (Tallahassee)
MSC:
57M12
57M27
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