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Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae.
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- International Journal of Number Theory, 2024, v. 20, n. 6, p. 1463, doi. 10.1142/S1793042124500726
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- Article
Fast computation of generalized dedekind sums.
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- International Journal of Number Theory, 2024, v. 20, n. 5, p. 1219, doi. 10.1142/S179304212450060X
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- Article
On Restricted Averages of Dedekind Sums.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 10, p. 8485, doi. 10.1093/imrn/rnad283
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- Article
An Elementary Proof of the Transformation Formula for the Dedekind Eta Function.
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- Armenian Journal of Mathematics, 2024, v. 16, n. 4, p. 1, doi. 10.52737/18291163-2024.16.4-1-22
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- Article
Pointwise and correlation bounds on Dedekind sums over small subgroups.
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- Research in Number Theory, 2024, v. 10, n. 2, p. 1, doi. 10.1007/s40993-024-00514-9
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- Article
The equidistribution of elliptic Dedekind sums and generalized Selberg–Kloosterman sums.
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- Research in Number Theory, 2024, v. 10, n. 1, p. 1, doi. 10.1007/s40993-024-00506-9
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- Article
A study on a type of degenerate poly-Dedekind sums.
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- Demonstratio Mathematica, 2024, v. 57, n. 1, p. 1, doi. 10.1515/dema-2023-0121
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- Article
Erratum to: Higher-group structure in lattice Abelian gauge theory under instanton-sum modification.
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- 2024
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- Correction Notice
On the Northcott property for special values of L-functions.
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- Revista Mathematica Iberoamericana, 2024, v. 40, n. 1, p. 1, doi. 10.4171/RMI/1454
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- Article
Uniqueness Results for Some Inverse Electromagnetic Scattering Problems with Phaseless Far-Field Data.
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- Axioms (2075-1680), 2023, v. 12, n. 12, p. 1069, doi. 10.3390/axioms12121069
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- Article
Covering sumsets of a prime field and class numbers.
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- Research in the Mathematical Sciences, 2023, n. 4, p. 1, doi. 10.1007/s40687-023-00404-z
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- Article
Reciprocity and the kernel of Dedekind sums.
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- Research in Number Theory, 2023, v. 9, n. 4, p. 1, doi. 10.1007/s40993-023-00484-4
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- Article
On the Mean Value of the Generalized Dedekind Sum and Certain Generalized Hardy Sums Weighted by the Kloosterman Sum.
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- Ukrainian Mathematical Journal, 2023, v. 75, n. 6, p. 889, doi. 10.1007/s11253-023-02234-2
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- Article
Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums.
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- Mathematische Annalen, 2023, v. 387, n. 1/2, p. 291, doi. 10.1007/s00208-022-02452-2
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- Article
EXTENDED GENUS FIELD OF CYCLIC KUMMER EXTENSIONS OF RATIONAL FUNCTION FIELDS.
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- Palestine Journal of Mathematics, 2023, v. 12, n. 4, p. 440
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- Article
Covering sumsets of a prime field and class numbers.
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- Research in the Mathematical Sciences, 2023, v. 10, n. 4, p. 1, doi. 10.1007/s40687-023-00404-z
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- Article
Dedekind sums and class numbers of imaginary abelian number fields.
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- Acta Mathematica Hungarica, 2023, v. 170, n. 2, p. 704, doi. 10.1007/s10474-023-01369-9
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- Article
Further Insights into the Mysteries of the Values of Zeta Functions at Integers.
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- Mathematica Slovaca, 2023, v. 73, n. 4, p. 887, doi. 10.1515/ms-2023-0066
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- Article
Higher-group structure in lattice Abelian gauge theory under instanton-sum modification.
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- European Physical Journal C -- Particles & Fields, 2023, v. 83, n. 6, p. 1, doi. 10.1140/epjc/s10052-023-11616-6
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- Article
Special values of ray class partial zeta functions.
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- International Journal of Number Theory, 2023, v. 19, n. 3, p. 481, doi. 10.1142/S1793042123500227
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- Article
Eisenstein cohomology classes for GL<sub>N</sub> over imaginary quadratic fields.
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- Journal für die Reine und Angewandte Mathematik, 2023, v. 2023, n. 797, p. 1, doi. 10.1515/crelle-2022-0089
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- Article
MEAN SQUARE VALUE OF L-FUNCTIONS AT s = 1 FOR NON-PRIMITIVE CHARACTERS, DEDEKIND SUMS AND BOUNDS ON RELATIVE CLASS NUMBERS.
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- Functiones et Approximatio Commentarii Mathematici, 2023, v. 68, n. 1, p. 101, doi. 10.7169/facm/2027
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- Article
On weil reciprocity in motivic cohomology.
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- Mathematische Zeitschrift, 2023, v. 303, n. 3, p. 1, doi. 10.1007/s00209-022-03178-2
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- Article
Reciprocity sheaves and logarithmic motives.
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- Compositio Mathematica, 2023, v. 159, n. 2, p. 355, doi. 10.1112/S0010437X22007862
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- Article
On Ramanujan Sums over a Dedekind Domain with Finite Norm Property.
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- Acta Mathematica Sinica, 2023, v. 39, n. 1, p. 149, doi. 10.1007/s10114-023-2156-0
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- Article
COMPARING THE PRIME NUMBER THEOREM AND THE SUM OF THE MOEBIUS FUNCTION.
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- Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2023, v. 54, p. 143
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- Article
Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum.
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- Acta Mathematica Hungarica, 2022, v. 168, n. 2, p. 373, doi. 10.1007/s10474-022-01277-4
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- Article
Author index (Volume 18).
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- International Journal of Number Theory, 2022, v. 18, n. 10, p. 2353, doi. 10.1142/S1793042122990019
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- Article
A Short Proof of the Landsberg–Schaar Identity.
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- Mathematical Notes, 2022, v. 112, n. 3/4, p. 488, doi. 10.1134/S0001434622090188
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- Article
On some qualitative results in thermodynamics of Cosserat bodies.
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- Boundary Value Problems, 2022, v. 2022, n. 1, p. 1, doi. 10.1186/s13661-022-01652-8
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- Article
Special Values of L-functions for GL(n) Over a CM Field.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 13, p. 10119, doi. 10.1093/imrn/rnaa383
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- Article
ON THE MEAN VALUE OF DEDEKIND SUMS OVER PRIMITIVE ROOTS OF AN ODD PRIME.
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- Mathematical Reports, 2022, v. 24, n. 3, p. 355
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- Article
INFINITE ALGEBRAIC EXTENSIONS OF DEDEKIND STRUCTURES.
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- Mathematical Reports, 2022, v. 24, n. 3, p. 505
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- Article
On Gauss sums over Dedekind domains.
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- International Journal of Number Theory, 2022, v. 18, n. 5, p. 1047, doi. 10.1142/S1793042122500543
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- Article
BGG categories in prime characteristics.
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- Mathematische Zeitschrift, 2022, v. 301, n. 2, p. 1481, doi. 10.1007/s00209-021-02962-w
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- Article
On the Sixth Power Mean of the Two-term Exponential Sums.
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- Acta Mathematica Sinica, 2022, v. 38, n. 3, p. 510, doi. 10.1007/s10114-022-0541-8
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- Article
Correction to: Polarisation non-reciprocity cancelling in Sagnac fibre ring interferometer: an attempt of realistic study.
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- 2021
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- Correction Notice
Author index (Volume 17).
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- International Journal of Number Theory, 2021, v. 17, n. 10, p. 2395, doi. 10.1142/S1793042121990013
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- Article
The exceptional zero phenomenon for elliptic units.
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- Revista Mathematica Iberoamericana, 2021, v. 37, n. 4, p. 1333, doi. 10.4171/rmi/1229
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- Article
A note on values of the Dedekind zeta-function at odd positive integers.
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- International Journal of Number Theory, 2021, v. 17, n. 08, p. 1753, doi. 10.1142/S1793042121500603
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- Article
p -Adic q -Twisted Dedekind-Type Sums.
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- Symmetry (20738994), 2021, v. 13, n. 9, p. 1756, doi. 10.3390/sym13091756
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- Article
Proving quadratic reciprocity: explanation, disagreement, transparency and depth.
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- Synthese, 2021, v. 198, n. 9, p. 8621, doi. 10.1007/s11229-020-02591-6
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- Article
Multiple Dedekind Type Sums and Their Related Zeta Functions.
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- Mathematics (2227-7390), 2021, v. 9, n. 15, p. 1744, doi. 10.3390/math9151744
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- Article
Some identities and reciprocity relationsof unipoly-Dedekind type DC sums.
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- Journal of Inequalities & Applications, 2021, v. 2021, n. 1, p. 1, doi. 10.1186/s13660-021-02655-2
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- Article
Construction of the Transreal Numbers from Rational Numbers via Dedekind Cuts.
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- Engineering Letters, 2021, v. 29, n. 2, p. 477
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- Article
Double-Janus linear sigma models and generalized reciprocity for Gauss sums.
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- Journal of High Energy Physics, 2021, v. 2021, n. 5, p. 1, doi. 10.1007/JHEP05(2021)227
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- Article
On the third Ohtsuki invariant for the Brieskorn–Hamm manifolds.
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- Journal of Knot Theory & Its Ramifications, 2021, v. 30, n. 5, p. N.PAG, doi. 10.1142/S0218216521500346
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- Article
ON THE INDICES IN NUMBER FIELDS AND THEIR COMPUTATION FOR SMALL DEGREES.
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- Applicable Analysis & Discrete Mathematics, 2021, v. 15, n. 1, p. 27, doi. 10.2298/AADM191025032B
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- Article
The strong Suslin reciprocity law.
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- Compositio Mathematica, 2021, v. 157, n. 4, p. 649, doi. 10.1112/S0010437X20007666
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- Article
A note on Dedekind Criterion.
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- Journal of Algebra & Its Applications, 2021, v. 20, n. 04, p. N.PAG, doi. 10.1142/S0219498821500663
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- Article