- Riemann zeta functions for Krull monoids
2024/01/12 by Felix Gotti, Ulrich Krause, Gotti, Felix +1 · 1 citation
Mathematics · Neuroscience · #11L20 #11M26 #11N80 #13F05 #Algebra over a field #Algebraic number #Arithmetic zeta function #Commutative Algebra and Its Applications #Dedekind cut #FOS: Mathematics #Generalization #Geometry #Mathematical analysis #Mathematics #Number Theory (math.NT) #Pain Management and Placebo Effect #Primary: 11A41 #Prime zeta function #Product (mathematics) #Proof of the Euler product formula for the Riemann zeta function #Pure mathematics #Riemann hypothesis #Riemann zeta function #Rings, Modules, and Algebras #Secondary: 20M13
- A Simple Proof of the Riemann Hypothesis
2022/09/05 by Hatem A. Fayed, Fayed, Hatem A. · 1 voice
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Arithmetic zeta function #Critical line #Explicit formulae #Function (biology) #Geometry #Line (geometry) #Mathematical analysis #Mathematics #Particular values of Riemann zeta function #Physics #Prime zeta function #Proof of the Euler product formula for the Riemann zeta function #Pure mathematics #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Simple (philosophy) #Z function #Zero (linguistics) #math.GM #msc:11M26
- Decoupling, exponential sums and the Riemann zeta function
2016/02/24 by Jean Bourgain · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems #Mathematics #Decoupling (probability) #Exponential function #Riemann zeta function #Riemann hypothesis #Exponential growth #Exponential decay #Arithmetic zeta function #Pure mathematics #Riemann Xi function #Mathematical analysis #Physics #Quantum mechanics
- Integral Representations for the Euler-Mascheroni Constant γ
2010/03/01 by Junesang Choi, H. M. Srivastava · 1 citation
Mathematics · #Advanced Mathematical Identities #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Digamma function #Mathematics #Euler's formula #Constant (computer programming) #Variety (cybernetics) #Calculus (dental) #Pure mathematics #Riemann zeta function #Mathematical analysis #Arithmetic zeta function #Computer science #Prime zeta function
- An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions
2008/03/01 by Linas Vepštas · 2 citations
Mathematics · #Advanced Mathematical Identities #Algorithm #Analytic Number Theory Research #Applied mathematics #Arithmetic zeta function #Euler's formula #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polylogarithm #Prime zeta function #Pure mathematics #Riemann zeta function #Series (stratigraphy)
- Lower order terms in the full moment conjecture for the Riemann zeta function
2007/10/05 by J.B. Conrey, J. Brian Conrey, David W. Farmer +7 · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Applied mathematics #Arithmetic zeta function #Conjecture #Function (biology) #Mathematical analysis #Mathematics #Moment (physics) #Order (exchange) #Particular values of Riemann zeta function #Physics #Prime zeta function #Pure mathematics #Quantum mechanics #Riemann Xi function #Riemann hypothesis #Riemann zeta function
- Contributions to the theory of the Hurwitz zeta-function
2007/01/01 by Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials #Ramanujan's sum #Mathematics #Riemann zeta function #Pure mathematics #Functional equation #Mathematical proof #Function (biology) #Euler's formula #Series (stratigraphy) #Gamma function #Number theory #Arithmetic zeta function #Combinatorics #Mathematical analysis #Differential equation
- New integral representations of the polylogarithm function
2006/12/14 by Djurdje Cvijović · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Arithmetic zeta function #Bernoulli number #Bernoulli polynomials #Bernoulli's principle #Digamma function #Euler's formula #Function (biology) #Mathematical functions and polynomials #Polylogarithm #Riemann zeta function #math.CA #msc:11M99 #msc:33E20
- Asymptotic expansions of the Hurwitz–Lerch zeta function
2004/08/24 by Chelo Ferreira, José L. López · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Analytic continuation #Arithmetic zeta function #Asymptotic expansion #Bernoulli polynomials #Complex plane #Continuation #Function (biology) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polylogarithm #Power series #Prime zeta function #Pure mathematics #Riemann zeta function
- The dilogarithm function for complex argument
2003/11/08 by L. C. Maximon · 2 citations
Mathematics · #Advanced Mathematical Identities #History and Theory of Mathematics #Mathematics and Applications #Mathematics #Polylogarithm #Euler's formula #Function (biology) #Hypergeometric function #Applied mathematics #Pure mathematics #Gamma function #Quadratic equation #Special functions #Algebra over a field #Calculus (dental) #Mathematical analysis #Riemann zeta function #Arithmetic zeta function #Prime zeta function
- Analytic continuation of multiple zeta-functions and their values at non-positive integers
2001/01/01 by Shigeki Akiyama, Shigeki Egami, Yoshio Tanigawa · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic continuation #Arithmetic zeta function #Continuation #Euler's formula #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polylogarithm #Prime zeta function #Pure mathematics #Riemann zeta function #Simple (philosophy) #Zeta function regularization
- Special values of multiple polylogarithms
2000/10/11 by Jonathan M. Borwein, David M. Bradley, David Broadhurst +1 · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics #Polylogarithm #Mathematics #Conjecture #Harmonic number #Euler's formula #Number theory #Riemann zeta function #Riemann hypothesis #Enumerative combinatorics #Pure mathematics #Algebra over a field #Arithmetic zeta function #Discrete mathematics #Prime zeta function #Mathematical analysis
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
1999/04/01 by Alain Connes, A. Connes · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Arithmetic zeta function #Explicit formulae #Interpretation (philosophy) #Mathematical analysis #Mathematics #Noncommutative geometry #Particular values of Riemann zeta function #Prime zeta function #Pure mathematics #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Selberg trace formula #TRACE (psycholinguistics)
- Derivatives of the Hurwitz Zeta function for rational arguments
1998/12/01 by Jeff Miller, Jeff F. Miller, Victor Adamchik +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Applied mathematics #Arithmetic zeta function #Differential equation #Function (biology) #Functional Equations Stability Results #Functional equation #Logarithm #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Prime zeta function #Pure mathematics #Rational function #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Transcendental equation #Transcendental function #Transcendental number #Zeta function regularization
- An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
1987/01/01 by Jürgen Fischer · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Analytic Number Theory Research #Analytic continuation #Arithmetic zeta function #Finite Group Theory Research #Iterated function #Mathematical analysis #Mathematics #Pure mathematics #Riemann zeta function #Selberg trace formula #TRACE (psycholinguistics)
- The Selberg trace formula and the Riemann zeta function
1976/09/01 by Dennis A. Hejhal · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Arithmetic zeta function #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Pure mathematics #Riemann hypothesis #Riemann zeta function #Selberg trace formula #TRACE (psycholinguistics)
- Complex Zeros of the Jonquiere or Polylogarithm Function
1975/04/01 by B. Fornberg, K. S. Kolbig · 1 citation
Mathematics · #Advanced Mathematical Identities #Arithmetic zeta function #Biology #Evolutionary biology #Function (biology) #Mathematics #Polylogarithm #Prime zeta function #Pure mathematics #Riemann zeta function
- On the Hurwitz zeta-function
1972/03/01 by Bruce C. Berndt · 2 citations
Mathematics · #Advanced Mathematical Identities #Algebraic and Geometric Analysis #Analytic Number Theory Research #Arithmetic zeta function #Hurwitz polynomial #Mathematical analysis #Mathematics #Pure mathematics #Riemann zeta function