## Tag: zeta-functions

83 What is the field with one element? 2009-10-24T15:41:09.997

83 Why does the Riemann zeta function have non-trivial zeros? 2010-02-01T10:16:29.153

58 Why does the Gamma-function complete the Riemann Zeta function? 2009-12-03T12:16:16.370

58 Is there a "Basic Number Theory" for elliptic curves? 2011-07-31T15:15:10.327

55 Fake integers for which the Riemann hypothesis fails? 2017-10-10T15:45:21.307

52 Are there refuted analogues of the Riemann hypothesis? 2013-04-14T09:26:40.893

38 The Hardy Z-function and failure of the Riemann hypothesis 2010-12-23T16:23:50.957

37 From Zeta Functions to Curves 2011-07-18T09:21:33.243

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

34 Is there a "quantum" Riemann zeta function? 2010-11-13T19:43:19.213

31 What does this connection between Chebyshev, Ramanujan, Ihara and Riemann mean? 2015-11-25T21:28:15.253

28 The work of E. Artin and F. K. Schmidt on (what are now called) the Weil conjectures. 2010-02-08T09:38:03.330

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

25 Is $\zeta(3)/\pi^3$ rational? 2011-04-04T19:27:43.933

24 Universality of zeta- and L-functions 2010-01-03T02:44:52.543

23 What is the difference between a zeta function and an L-function? 2009-11-26T15:03:59.030

23 Good uses of Siegel zeros? 2013-03-22T14:16:27.407

21 How does one motivate the analytic continuation of the Riemann zeta function? 2011-03-09T22:31:34.633

20 The class number formula, the BSD conjecture, and the Kronecker limit formula 2009-11-15T07:16:50.953

20 How was the importance of the zeta function discovered? 2011-03-15T07:11:27.803

18 stable homotopy groups and zeta function 2015-09-11T19:41:40.530

18 Weil conjectures for higher dimensional cycles? 2016-04-16T16:02:51.183

17 Can the Dedekind zeta function distinguish between real and imaginary quadratic number fields? 2016-02-28T15:45:17.693

16 Computing (on a computer) the first few (non-trivial) zeros of the zeta function of a number field. 2011-04-30T17:21:25.497

16 Dedekind Zeta function: behaviour at 1 2012-02-08T08:17:59.903

15 Values of zeta at odd positive integers and Borel's computations 2010-09-09T16:11:46.447

15 Refinements of the Riemann hypothesis 2010-10-20T14:44:01.350

15 Evaluating the integral $\int_{1}^{\infty}\frac{\{u\}}{u^{2}}\left(\log u\right)^{k}du.$ 2011-05-11T01:26:13.333

14 PNT for general zeta functions, Applications of. 2010-02-05T14:56:16.763

14 Can the failure of the multiplicativity of Euler factors at bad primes be corrected? 2010-02-06T12:39:20.127

14 Dirichlet's regulator vs Beilinson's regulator 2010-08-06T22:35:32.847

14 Brownian bridge interpreted as Brownian motion on the circle 2010-11-22T20:09:45.937

14 Growth of $\zeta_{\mathbf Q[\cos(\frac{\pi}{2^{n+1}})]}(2)$ 2016-03-02T16:53:00.110

14 Zeta function of Abelian variety over finite field 2017-09-29T10:12:37.070

13 Dwork's use of p-adic analysis in algebraic geometry 2010-03-21T23:50:57.517

13 Is there an elegant algebraic proof of this formula for quadratic field discriminants? 2011-05-10T05:00:53.003

12 Weil Conjectures for nonprojective algebraic varieties 2009-11-24T15:03:26.327

12 Is there an analogue of the Lefschetz fixed point theorem for discrete dynamical systems? 2010-01-05T01:38:23.217

12 Analogues of the Riemann-Roch Theorem 2012-04-16T00:30:15.347

12 L-Functions of Varieties, Zeta Functions of Their Models 2013-10-08T14:39:52.630

12 Is it easy to prove that $\sum_n |X(\mathbb{F}_{q^n})| t^n$ is rational? 2014-09-15T04:16:01.540

11 Behaviour of Zeta-function under Finite Morphism 2009-10-27T19:58:01.527

11 Periods and L-values 2010-02-12T23:43:53.673

11 Lower bounds on zeta(s+it) for fixed s 2010-05-07T16:27:30.353

11 Establishing zeta(3) as a definite integral and its computation. 2010-07-05T19:58:58.883

11 Does this sum equal zeta(3)? 2011-02-11T16:57:28.027

11 A question on K_1 of an elliptic curve 2011-04-15T18:32:21.237

11 non-trivial zeros of partial zeta functions 2012-05-17T00:46:26.347

11 Sets with zeta functions that are not the primes 2012-11-05T05:01:38.673

11 Tauberian theorem with better error term 2015-03-29T21:26:06.557

10 Wick rotation and the Riemann zeta function 2010-11-14T03:00:56.330

10 Degree of Transcendentality and Feynman Diagrams 2010-12-27T02:55:58.203

10 Multiple zeta values at negative integers 2012-05-22T08:02:29.857

10 Convergence of zeta functions for schemes of finite type over the integers 2016-02-21T21:00:17.990

9 Euler product over primes congruent to 3 mod 4 2011-07-14T11:54:52.183

9 What is the value of $p$-adic $\zeta$-function at positive integer point? 2015-10-21T07:31:23.320

8 Is the maximum domain to which a Dirichlet series can be continued always a halfplane? 2009-11-12T23:52:44.163

8 How does the order of a pole of a zeta function indicate any geometric information? 2010-01-09T03:09:59.293

8 Non-vanishing of zeta(s), Re(s)=1, without complex analysis? 2010-09-23T04:53:58.467

8 Negative values of Riemann zeta function on the critical line. 2011-08-17T20:12:11.280

8 Riemann zeta at even integers 2012-04-12T16:14:26.437

8 Is there a known formula for fractional derivative of cot x? 2012-04-16T16:37:20.573

8 Is there an explicit expression for the imaginary part of some non-trivial zero of zeta, 2013-03-15T00:22:40.843

8 Sequences equidistributed modulo 1 2013-05-18T03:15:03.943

8 is there a p-adic Borel theorem? 2014-05-28T14:17:45.457

8 Complex Geometry Consequences of Serre's Kähler-Zeta Function 2015-09-09T10:34:04.067

8 Arithmetic zeta function and local zeta functions 2015-11-19T16:09:11.947

7 What is the Beilinson regulator? 2009-10-23T17:35:16.593

7 Evaluating the integral $\int_0^\infty \frac{\psi(x)-x}{x^2}dx.$ 2011-05-10T19:47:44.370

7 Power series expansions of $L$-series 2012-08-21T20:06:47.223

7 Gamma Factors for Zeta Functions of Abelian Varieties 2013-10-03T13:42:41.117

7 Asymptotics of A261668 2015-09-13T19:16:32.067

7 Geometric and arithmetic Frobenius 2016-06-23T14:35:37.273

7 Properties of $\zeta(s)\zeta(2s)\zeta(3s)...$ 2017-08-16T09:24:34.297

7 Values of Artin L-functions at negative integers 2017-10-18T23:23:02.957

6 Zeta function for curves in a manifold 2010-01-01T20:51:41.797

6 Poles of Kloosterman Zeta Function 2010-10-17T19:10:38.250

6 A question about partial Euler products 2012-04-25T22:08:39.607

6 Efficient (divergent) summation for sum of zetas at negative arguments? 2013-04-18T14:21:29.880

6 A (likely) positivity property of the Lerch zeta-function 2015-05-04T17:43:42.233

6 Zeta-Determinant for shifted Laplacians on the circle 2015-07-27T18:04:55.170

6 Critical values of L-functions and weights of Eisenstein Series 2017-07-27T17:19:12.717

6 2-adic valuation of $L(0,\chi)$ for a Dirichlet character 2018-02-19T08:39:12.990

5 What's the correct notion of determinant of a bilinear pairing? 2009-10-08T00:15:03.617

5 Residues of $1/\zeta$ 2010-05-24T09:19:30.797

5 On partial sums of the zeta function, or $1/1 + 1/2 + 1/3 + ... + 1/n$ 2010-06-26T07:29:08.427

5 Characteristic Complexes in Iwasawa theory 2010-09-30T11:27:39.423

5 Ihara zeta function 2012-01-23T13:51:45.023

5 Persistent homology of Markovian dynamical systems 2012-01-29T14:26:46.703

5 Is Zeta function discrete-analytic? 2012-04-15T22:34:15.560

5 The Riemann Zeta Function summing over the Gamma Function 2013-06-14T01:40:59.627

5 Zeta functions for infinite abelian extensions? 2013-06-30T16:08:06.373

5 Relation between Lee and Yang' s "circle theorem", zeta functions and Weil conjectures? 2013-07-06T21:07:47.180

5 Elementary symmetric functions of reciprocals of monic polynomials in function fields 2016-07-26T17:04:25.220