Tag: modular-forms

98 Why are modular forms interesting? 2010-05-14T10:25:10.187

51 Constructing non-torsion rational points (over Q) on elliptic curves of rank > 1 2011-02-14T16:53:11.873

47 Why are powers of $\exp(\pi\sqrt{163})$ almost integers? 2009-11-09T21:24:18.197

46 There's something strange about $\sqrt{\big(j(\tau)-1728\big)d}$ 2014-01-15T19:05:58.843

43 Algebraic Attacks on the Odd Perfect Number Problem 2010-09-20T20:27:15.440

40 Why do Pell equations appear in Ramanujan's pi formulas? 2014-12-07T17:39:58.383

39 How is representation theory used in modular/automorphic forms? 2010-08-15T03:42:34.177

36 What is the difference between an automorphic form and a modular form? 2013-03-17T05:42:38.363

36 What is known about the sum x^{n^2}/n? 2013-10-28T11:48:11.190

34 Why are functional equations important? 2009-10-23T05:51:15.427

34 Why should I care about topological modular forms? 2014-01-01T04:27:14.980

33 What can topological modular forms do for number theory? 2015-05-28T02:40:33.313

32 Does anyone want a pretty Maass form? 2010-04-28T23:33:06.460

29 Modular forms and the Riemann Hypothesis 2010-02-03T23:44:12.053

28 $A_5$-extension of number fields unramified everywhere 2010-11-04T10:33:01.673

27 Modular curves of genus zero and normal forms for elliptic curves 2010-03-04T00:17:19.947

26 A puzzling remark of Manin (ICM 1978) 2010-12-24T07:27:35.423

26 How can one understand the Eisenstein series E2 in terms of automorphic representation? 2017-04-20T09:03:14.883

25 A 14th and 26th-power Dedekind eta function identity? 2012-09-16T16:10:47.477

25 Monstrous Moonshine for Thompson group $Th$? 2014-02-19T19:52:36.283

25 Derivation of certain sums "the hard way" 2017-10-08T12:44:13.037

24 Intuition behind the Eichler-Shimura relation? 2010-03-26T04:31:11.420

24 How to explicitly compute lifting of points from an elliptic curve to a modular curve? 2011-02-13T10:03:12.540

24 When does a modular form satisfy a differential equation with rational coefficients? 2013-03-27T02:22:45.927

23 Are there any Hecke operators acting on an elliptic curve with additive reduction that I don't know about? 2010-04-10T21:03:19.247

23 Is there an algebraic curve over Q which is not modular? 2013-05-11T17:35:06.973

23 Is the Modularity Theorem (currently) effective? 2014-03-02T02:18:40.937

23 Which quaternary quadratic form represents $n$ the greatest number of times? 2016-12-06T22:09:20.137

22 Where can I find a comprehensive list of equations for small genus modular curves? 2010-02-03T21:12:01.973

22 Why Is $e^{\pi\sqrt{232}}$ an Almost Integer? 2010-07-06T16:02:46.393

22 Narratives in Modular Curves 2010-12-01T20:42:22.400

22 Subgroups of GL(2,q) 2012-03-19T18:37:45.293

22 Can we use the Rogers-Ramanujan cfrac to parameterize the Fermat quintic $x^5+y^5=1$? 2017-01-07T13:49:19.993

22 Is there a "Langlands philosophy" reason for the fact that the L-function of the Jacobi theta function is (almost) the Riemann zeta function? 2017-03-26T07:48:09.160

21 Do there exist modern expositions of Klein's Icosahedron? 2009-12-21T14:37:25.710

21 Modular forms of fractional weight 2011-01-23T21:28:48.290

21 Monstrous moonshine for $M_{24}$ and K3? 2013-11-10T05:21:37.743

20 Potential modularity and the Ramanujan conjecture 2010-05-10T15:32:10.350

20 Which elliptic curves over totally real fields are modular these days? 2010-09-16T04:39:42.883

20 Is SL(2,C)/SL(2,Z) a quasi-projective variety? 2012-08-28T20:27:22.773

20 Nekrasov-Okounkov hook length formula 2015-03-24T20:13:23.340

20 Does X(13) have potentially good reduction at 13? 2016-03-16T16:03:54.633

19 What is a TMF in topology? 2009-10-11T14:54:45.137

19 Modular Forms - Eichler quote 2009-11-27T15:00:42.790

19 Eichler-Shimura over Totally Real Fields 2013-12-03T12:48:21.903

19 Sphere packings : what next after the recent breakthrough of Viazovska (et al.)? 2016-04-04T18:48:10.040

18 modular eigenforms with integral coefficients [Maeda's Conjecture] 2010-01-13T18:19:18.087

18 Cusp forms and L^2 2010-08-21T18:05:53.197

18 Reference request: The first cohomology of SL(2,Z) with coefficients in homogeneous polynomials 2010-11-05T09:00:07.447

18 Deciding whether a given power series is modular or not 2010-12-31T13:11:02.007

18 Elementary proof of algebraicity of Hecke eigenvalues in weight 1 2011-01-28T11:14:19.877

18 Generators of the graded ring of modular forms 2011-06-03T12:48:26.170

18 Proofs of Jacobi's four-square theorem 2012-01-04T18:51:38.197

18 Ramanujan's pi formulas with a twist 2014-03-29T23:11:18.067

17 The difficulties in proving modularity lifting theorems over non-totally real fields 2010-01-20T15:17:55.993

17 Conceptual understanding of the Gross-Zagier theorem. 2010-02-24T22:40:22.250

17 Distinguishing congruence subgroups of the modular group 2010-04-10T15:39:34.427

17 weight 4 eigenforms with rational coefficients---is it reasonable to expect they all come from Calabi-Yaus? 2010-04-19T18:32:32.803

17 Deligne's proof of Ramanujan's conjecture 2010-07-04T16:22:40.627

17 Characteristic power series for maps of E_{\infty} ring spectra 2010-08-22T06:16:37.943

17 How many Hecke operators span the level 1 Hecke algebra? 2010-10-19T16:42:42.603

17 Does this variant of a theorem of Hasse (really due to Gauss) have an "elementary" proof? 2012-09-03T19:27:05.523

17 A sum by Ramanujan for $\coth^{2}(5\pi)$ 2014-07-05T12:16:57.183

17 Can something finite over $\mathbb{C}(q)$ be a modular form? 2016-07-21T19:07:33.713

16 2-adic Coefficients of Modular Hecke Eigenforms 2009-10-24T19:45:46.290

16 Details for the action of the braid group B_3 on modular forms 2010-04-04T04:17:00.977

16 What's about "quantum modular forms"? 2011-01-04T15:48:51.933

16 Non-vanishing of p-adic L-functions 2011-04-02T21:03:27.460

16 Are there Maass forms where the expected Galois representation is $\ell$-adic? 2012-06-05T22:22:31.050

16 Higher level analogs of Nicolas-Serre theory 2013-07-06T04:06:54.593

16 Special fiber of $X(p)$ in characteristic $p$ 2014-10-31T17:46:46.797

15 Galois representations attached to newforms 2010-02-07T16:40:46.740

15 Eta-products and modular elliptic curves 2010-07-23T06:47:11.567

15 The graph of congruences between modular forms 2012-01-09T23:18:00.753

15 Why only half-integral weight automorphic forms? 2012-11-20T15:21:17.140

15 Why is 12 the smallest weight for which a cusp forms exists 2016-06-16T10:37:47.087

15 Modular forms from counting points on algebraic varieties over a finite field 2017-01-21T11:22:01.970

15 Theta functions, re-expressed 2017-04-10T03:26:32.253

15 On a pattern for upside-down Ramanujan pi formulas 2018-01-30T14:16:02.327

14 Is there an approach to understanding solution counts to quadratic forms that doesn't involve modular forms? 2009-12-09T07:23:18.237

14 Eichler-Shimura isomorphism and mixed Hodge theory 2009-12-23T06:50:22.843

14 Hecke operators acting as correspondences? 2010-06-02T21:48:43.743

14 Eisenstein series as sections of line bundles on moduli spaces 2010-08-05T08:55:09.253

14 Geometric meaning of fiber of modular parameterization over a point of an elliptic curve? 2010-08-17T13:39:19.403

14 How do modular forms of half-integral weight relate to the (quasi-modular) Eisenstein series? 2010-09-08T18:28:18.977

14 Fourier coefficient of a modular form 2010-10-19T00:54:49.833

14 How many Hecke operators span the Hecke algebra? 2010-10-19T18:30:31.617

14 Construction of abelian varieties from Hilbert modular forms? 2011-02-06T21:37:48.407

14 Nonvanishing of central L-values of quadratic twists? 2011-02-24T17:51:17.220

14 There is no lattice in PSL(2,R) which contains PSL(2,Z) properly? 2011-04-05T07:08:37.923

14 Are there 'analytic' $p$-adic modular forms. 2011-05-24T13:51:25.537

14 Why does the definition of modularity demand weight 2? 2011-08-14T20:52:53.680

14 I'm looking for a Virasoro-module whose character is 1+ 240q+ 2160q^2+ 6720q^3... 2011-09-09T18:38:15.777

14 Examples of q-expansions in a Hida family 2012-09-06T11:10:31.453

14 Models of the modular curve $Y_1(N)$ 2012-11-16T17:32:27.150

14 Does the Manin-Drinfeld theorem hold over number fields? 2013-03-14T11:35:24.660

14 How did Gauss and contemporaries think of modular forms? 2013-11-11T11:46:08.570

14 The "Level N modular equation for delta" in characteristics 3, 5, 7 and 13 2014-01-06T23:26:34.663

14 Etymology of cuspidal representations 2014-01-14T07:08:54.323