Found 540 Documents (Results 1–100)
Generating functions of the Hurwitz class numbers associated with certain mock theta functions. (English) Zbl 07846614
Reviewer: Meinhard Peters (Münster)
Class numbers of binary quadratic polynomials. arXiv:2409.06244
Preprint, arXiv:2409.06244 [math.NT] (2024).
Topographs for binary quadratic forms and class numbers. arXiv:2408.14405
Preprint, arXiv:2408.14405 [math.NT] (2024).
A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups. arXiv:2407.18663
Preprint, arXiv:2407.18663 [math.NT] (2024).
The bias conjecture for elliptic curves over finite fields and Hurwitz class numbers in arithmetic progressions. arXiv:2405.14234
Preprint, arXiv:2405.14234 [math.NT] (2024).
Sums of Hurwitz class numbers, CM modular forms, and primes of the form \(x^2+ny^2\). arXiv:2405.07565
Preprint, arXiv:2405.07565 [math.NT] (2024).
On the analytic theory of isotropic ternary quadratic forms. (English) Zbl 07793422
Reviewer: Detlev Hoffmann (Dortmund)
Kneser’s method of neighbors. (English) Zbl 1537.11101
Reviewer: Stefan Kühnlein (Karlsruhe)
Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection. (English) Zbl 1532.11051
Reviewer: Meinhard Peters (Münster)
Congruence modulo 4 for Andrews’ even parts below odd parts partition function. (English) Zbl 1527.11031
Reviewer: Meinhard Peters (Münster)
Formulas for moments of class numbers in arithmetic progressions. (English) Zbl 1528.11022
Reviewer: Meinhard Peters (Münster)
\(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3. (English) Zbl 1520.11048
Reviewer: Meinhard Peters (Münster)
Explicit class number formulas for Siegel-Weil averages of ternary quadratic forms. (English) Zbl 1518.11034
Reviewer: Meinhard Peters (Münster)
The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials. arXiv:2305.17909
Preprint, arXiv:2305.17909 [math.NT] (2023).
Congruences of Hurwitz class numbers on square classes. (English) Zbl 1511.11040
Reviewer: Andrew G. Earnest (Carbondale)
Modular forms and ellipsoidal \(T\)-designs. (English) Zbl 1517.11033
Reviewer: İlker İnam (Bilecik)
Binary Hermitian lattices over number fields. (English) Zbl 1493.11081
Reviewer: Andrew G. Earnest (Carbondale)
A proof of the mod 4 unimodal sequence conjectures and related mock theta functions. (English) Zbl 1491.11042
Reviewer: M. P. Chaudhary (New Delhi)
Class numbers and representations by ternary quadratic forms with congruence conditions. (English) Zbl 1485.11080
Reviewer: Meinhard Peters (Münster)
When is a polarised abelian variety determined by its \(\boldsymbol{p}\)-divisible group? arXiv:2205.13180
Preprint, arXiv:2205.13180 [math.NT] (2022).
On a class number formula of Hurwitz. (English) Zbl 1495.11055
Reviewer: Detlev Hoffmann (Dortmund)
Fourier coefficients of weight 2 modular forms of prime level. (English) Zbl 1479.11071
Reviewer: Ahmet Tekcan (Bursa)
On \(t\)-core and self-conjugate \((2t-1)\)-core partitions in arithmetic progressions. (English) Zbl 1480.11130
Reviewer: Armen Bagdasaryan (Madīnat al-Kuwait)
1-universal binary and ternary Hermitian lattices over imaginary quadratic fields. (English) Zbl 1472.11111
Reviewer: Meinhard Peters (Münster)
A note on vector-valued Eisenstein series of weight \(3/2\). (English) Zbl 1473.11094
Reviewer: Ilker Inam (Bilecik)
Representation of non-semibounded quadratic forms and orthogonal additivity. (English) Zbl 1458.81021
Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples. arXiv:2112.03663
Preprint, arXiv:2112.03663 [math.NT] (2021).
A very special case of Siegel’s mass formula and Hecke operators. arXiv:2105.01270
Preprint, arXiv:2105.01270 [math.NT] (2021).
Eisenstein’s program and modular forms. (English. Russian original) Zbl 1451.11032
J. Math. Sci., New York 249, No. 1, 104-111 (2020); translation from Zap. Nauchn. Semin. POMI 479, 160-170 (2019).
A short proof of Fermat’s two-square theorem. (English) Zbl 1451.11025
Reviewer: Ahmet Tekcan (Bursa)
Revisiting the average number of divisors of a quadratic polynomial. (English) Zbl 1455.11129
Reviewer: Vlad Alexandru Matei (Tel Aviv)
Estimates for representation numbers of binary quadratic forms and Apollonian circle packings. (English) Zbl 1454.11176
Reviewer: Kanat Abdukhalikov (Al Ain)
Optimal estimates for an average of Hurwitz class numbers. (English) Zbl 1445.11024
Reviewer: Andrew G. Earnest (Carbondale)
On the zeros of Epstein zeta functions near the critical line. (English) Zbl 1436.11036
Reviewer: Ahmet Tekcan (Bursa)
On the flat cohomology of binary norm forms. (English. French summary) Zbl 1445.11023
Definite orders with locally free cancellation. (English) Zbl 1457.11158
Reviewer: Adam Chapman (Tel Hai)
Quinary lattices and binary quaternion hermitian lattices. (English) Zbl 1465.11093
Reviewer: Andrew G. Earnest (Carbondale)
Overpartition \(M2\)-rank differences, class number relations, and vector-valued mock Eisenstein series. (English) Zbl 1468.11109
Reviewer: Michael H. Mertens (Liverpool)
Singular functions in the problem of the weighted number of integer points on multidimensional hyperboloids of special form. (English. Russian original) Zbl 1459.11191
Math. Notes 105, No. 2, 265-279 (2019); translation from Mat. Zametki 105, No. 2, 278-293 (2019).
Asymptotic behaviors of class number sums associated with Pell-type equations. (English) Zbl 1446.11197
Quaternary quadratic lattices over number fields. (English) Zbl 1439.11107
Reviewer: Meinhard Peters (Münster)
Geometric Gauss-Dedekind. arXiv:1912.03917
Preprint, arXiv:1912.03917 [math.AG] (2019).
A uniform construction of smooth integral models and a conjectural recipe for computing local densities. (English) Zbl 1444.11056
Black holes and class groups. (English) Zbl 1455.11065
Reviewer: Andrew G. Earnest (Carbondale)
Group schemes and local densities of ramified Hermitian lattices in residue characteristic 2. II. (English) Zbl 1446.11061
Introduction to number theory. Reprint of the 1989 original published by Wiley. (English) Zbl 1400.11001
Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-4694-9/hbk; 978-1-4704-4844-8/ebook). xii, 212 p. (2018).
On arithmetic of the superspecial locus. (English) Zbl 1408.14137
Reviewer: Herbert Lange (Erlangen)
Lattice points in the four-dimensional ball. (English. Russian original) Zbl 1420.11129
J. Math. Sci., New York 234, No. 5, 750-757 (2018); translation from Zap. Nauchn. Semin. POMI 458, 236-246 (2017).
On the location of the zero-free half-plane of a random Epstein zeta function. (English) Zbl 1448.11079
Type numbers of quaternion Hermitian forms and supersingular abelian varieties. (English) Zbl 1403.11034
Reviewer: Meinhard Peters (Münster)
Group schemes and local densities of ramified hermitian lattices in residue characteristic 2 Part II, Expanded version. arXiv:1806.00726
Preprint, arXiv:1806.00726 [math.NT] (2018).
One class genera of lattice chains over number fields. (English) Zbl 1425.11065
Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 503-532 (2017).
Byte weight enumerators of codes over \(\mathbb{F}_{p}\) and modular forms over a totally real field. (English) Zbl 1407.11065
Large moments and extreme values of class numbers of indefinite binary quadratic forms. (English) Zbl 1403.11035
Reviewer: Meinhard Peters (Münster)
MSC:
11E41
Class number problems and Lang conjectures. (English) Zbl 1426.11128
Mourtada, Hussein (ed.) et al., Algebraic geometry and number theory. Summer school, Galatasaray University, Istanbul, Turkey, June 2–13, 2014. Basel: Birkhäuser/Springer. Prog. Math. 321, 211-232 (2017).
Steinitz classes and partial genera of unimodular lattices over imaginary-quadratic fields. (English) Zbl 1426.11029
Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields. (Croissance du nombre de classes de réseaux hermitiens unimodulaires sur un corps quadratique imaginaire.) (English. French summary) Zbl 1367.11043
Reviewer: Andrew G. Earnest (Carbondale)
A combinatorial refinement of the Kronecker-Hurwitz class number relation. (English) Zbl 1367.11044
Reviewer: Meinhard Peters (Münster)
MSC:
11E41
On universal zero-free ternary quadratic form representations of primes in arithmetic progressions. (English) Zbl 1419.11063
Numbers Represented by a Finite Set of Binary Quadratic Forms. arXiv:1708.04877
Preprint, arXiv:1708.04877 [math.NT] (2017).
On the number of distinct non-vanishing representations of prime powers by sums of three and four squares. (English) Zbl 1357.11045
The construction of indecomposable quadratic lattices over global function fields. (Chinese. English summary) Zbl 1363.11064
Strictly regular ternary Hermitian forms. (English) Zbl 1446.11060
Reviewer: Guram Gogishvili (Tbilisi)
Group schemes and local densities of ramified Hermitian lattices in residue characteristic 2. I. (English) Zbl 1341.11016
Reviewer: Meinhard Peters (Münster)
Ternary quadratic forms over number fields with small class number. (English) Zbl 1332.11045
Reviewer: Meinhard Peters (Münster)
The arithmetic sum and Gaussian multiplication theorem. (Russian. English summary) Zbl 1437.11033
Reduction theory of binary forms. (English) Zbl 1343.11046
Beshaj, Lubjana (ed.) et al., Advances on superelliptic curves and their applications. Based on the NATO Advanced Study Institute (ASI), Ohrid, Macedonia, 2014. Amsterdam: IOS Press (ISBN 978-1-61499-519-7/hbk; 978-1-61499-520-3/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 41, 84-116 (2015).
An identity connecting theta series associated with binary quadratic forms of discriminant \(\Delta\) and \(\Delta(\mathrm{prime})^2\). (English) Zbl 1322.11027
Reviewer: M. Peters (Münster)
Group schemes and local densities of quadratic lattices in residue characteristic 2. (English) Zbl 1322.11030
Reviewer: Meinhard Peters (Münster)
Heilbronn characters. (English) Zbl 1326.20007
Reviewer: Robert W. van der Waall (Huizen)
Essentially unique representations by certain ternary quadratic forms. (English) Zbl 1322.11029
Reviewer: Meinhard Peters (Münster)
Spinor norm for skew-Hermitian forms over quaternion algebras. (English) Zbl 1317.11035
Reviewer: Detlev Hoffmann (Dortmund)
On the Gauss \(E\Upsilon PHKA\) theorem and some allied inequalities. (English) Zbl 1326.11010
Reviewer: Meinhard Peters (Münster)
The classification of positive definite unimodular lattices over totally real algebraic fields. (Chinese. English summary) Zbl 1324.11043
One-class genera of maximal integral quadratic forms. (English) Zbl 1284.11065
Reviewer: Meinhard Peters (Münster)
Single-class genera of positive integral lattices. (English) Zbl 1297.11018
Reviewer: Steven T. Dougherty (Scranton)
The extremal lattice of dimension 14, level 7 and its genus. (English) Zbl 1298.11030
Chan, Wai Kiu (ed.) et al., Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13–18, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8318-1/pbk; 978-0-8218-9503-0/ebook). Contemporary Mathematics 587, 167-183 (2013).
Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields. (English) Zbl 1301.11042
Chan, Wai Kiu (ed.) et al., Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13–18, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8318-1/pbk; 978-0-8218-9503-0/ebook). Contemporary Mathematics 587, 111-130 (2013).
Reviewer: Meinhard Peters (Münster)
Quadratic forms and automorphic forms. (English) Zbl 1282.11017
Alladi, Krishnaswami (ed.) et al., Quadratic and higher degree forms. New York, NY: Springer (ISBN 978-1-4614-7487-6/hbk; 978-1-4614-7488-3/ebook). Developments in Mathematics 31, 109-168 (2013).
On the classification of lattices over \(\mathbb Q(\sqrt{-3})\) which are even unimodular \(\mathbb Z\)-lattices of rank 32. (English) Zbl 1367.11042
Reviewer: Detlev Hoffmann (Dortmund)
Asymptotic formulas for class number sums of indefinite binary quadratic forms on arithmetic progressions. (English) Zbl 1305.11027
An attempt to prove an effective Siegel theorem–Part One. arXiv:1311.1478
Preprint, arXiv:1311.1478 [math.NT] (2013).
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