Essays in Analytic Number Theory
portes grátis
Essays in Analytic Number Theory
In Honor of Helmut Maier's 70th Birthday
Friedlander, John; Rassias, Michael Th.; Pomerance, Carl
Springer Nature Switzerland AG
03/2026
350
Dura
Inglês
9783032008688
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Preface.- A survey of a random matrix model for a family of cusp forms.- The Chevalley-Bass Theorem.- Weierstrass Fractal Drums - II Towards a Fractal Cohomology.- The Lq norm of the Rudin-Shapiro polynomials on subarcs of the unit circle.- Shifted-prime divisors.- Sharp local estimates for smooth numbers.- On the invariants of L-functions of degree 2, II: twisted conductor.- An analogue of Mertens function for Rankin-Selberg L-function Lfxf (s).- An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications.- A note on zero density results implying large value estimates for Dirichlet polynomials.- A mean square minorant for exponential sums.- Extremal problems and the combinatorics of sumsets.- Distribution of Goldbach numbers in short intervals. Mikawa's problem.- Counting rational points on some affine surfaces.- On partial derivatives of some summatory functions.- Cyclotomic statistics.- A Picture Book of the Riemann Hypothesis or Destructive Interference in Quantum Theory, Lines of Constant Phase and Height, and the Riemann Hypothesis.- The generalized Montgomery-Hooley formula: A survey.
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sequences;mathematical analysis;approximations;analytic number theory;numerical expansions
Preface.- A survey of a random matrix model for a family of cusp forms.- The Chevalley-Bass Theorem.- Weierstrass Fractal Drums - II Towards a Fractal Cohomology.- The Lq norm of the Rudin-Shapiro polynomials on subarcs of the unit circle.- Shifted-prime divisors.- Sharp local estimates for smooth numbers.- On the invariants of L-functions of degree 2, II: twisted conductor.- An analogue of Mertens function for Rankin-Selberg L-function Lfxf (s).- An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications.- A note on zero density results implying large value estimates for Dirichlet polynomials.- A mean square minorant for exponential sums.- Extremal problems and the combinatorics of sumsets.- Distribution of Goldbach numbers in short intervals. Mikawa's problem.- Counting rational points on some affine surfaces.- On partial derivatives of some summatory functions.- Cyclotomic statistics.- A Picture Book of the Riemann Hypothesis or Destructive Interference in Quantum Theory, Lines of Constant Phase and Height, and the Riemann Hypothesis.- The generalized Montgomery-Hooley formula: A survey.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
