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[PDF] Top 20 Small first zeros of L-functions

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Small first zeros of L-functions

Small first zeros of L-functions

... Proportion of L-functions which have a small first zero Combining Bienaym´e-Chebyshev inequality and statistics for low-lying zeros of symmetric power L-functions, we can ... Voir le document complet

45

The frequency of the zeros of some differential polynomials

The frequency of the zeros of some differential polynomials

... beginning of the last four decades, a substantial number of re- search articles have been written to describe the fixed points of general tran- scendental meromorphic functions (see ...points ... Voir le document complet

12

p-adic meromorphic functions f'P'(f), g'P'(g) sharing a small function

p-adic meromorphic functions f'P'(f), g'P'(g) sharing a small function

... meromorphic functions concerning ...Applications of the p-adic Nevanlinna theory to problems of uniqueness, Advances in p-adic and Non-Archimedean ...Ojeda, zeros of ultrametric ... Voir le document complet

7

Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

... (See Section 6 for further discussion and numerical evidence on this point.) In some situations some prime ideals of small norm are known, a.nd tllis can be exploited by computing their contributions to the ... Voir le document complet

24

Relation between differential polynomials and small functions

Relation between differential polynomials and small functions

... solutions of the above equation. 1. Introduction and statement of results Throughout this article, we assume that the reader is familiar with the funda- mental results and the standard notation of ... Voir le document complet

16

Complex meromorphic functions f' P' (f ), g' P' (g) sharing a small function

Complex meromorphic functions f' P' (f ), g' P' (g) sharing a small function

... a small function, do we have f = g? We denote by A(C) the C-algebra of entire functions in C, by M(C) the field of meromorphic functions in C, ...field of fractions of ... Voir le document complet

26

Sturm's theorem on zeros of linear combinations of eigenfunctions

Sturm's theorem on zeros of linear combinations of eigenfunctions

... The functions K, G, L and the constants h, H describe the physical properties of the bar, see [40, Introduction, ...book of Siméon Denis Poisson [31], rather than to Fourier’s book [13], because ... Voir le document complet

33

On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators

On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators

... entire functions that share a small function with their difference operators, ...Chen, Zeros of entire solutions to complex linear difference equa- tions, Acta ...characteristic of f (z ... Voir le document complet

19

Entire functions that share a small function with their difference operators

Entire functions that share a small function with their difference operators

... c f (z) = ∆ n f (z) for the case c = 1. Let f and g be two meromorphic functions and let a be a finite nonzero value. We say that f and g share the value a CM provided that f − a and g − a have the same ... Voir le document complet

13

Two estimates on the distribution of zeros of the first derivative of Dirichlet $L$-functions under the generalized Riemann hypothesis

Two estimates on the distribution of zeros of the first derivative of Dirichlet $L$-functions under the generalized Riemann hypothesis

... number of zeros and the distribution of the real part of non-real zeros of the derivatives of the Riemann zeta function have been investigated by ...truth of the ... Voir le document complet

33

Ternary quadratic forms with rational zeros

Ternary quadratic forms with rational zeros

... neither of A, B be very small compared to the other, we expect that this could be eased considerably, certainly un- der the assumption of the Grand Riemann Hypothesis, albeit with a more complicated ... Voir le document complet

18

Zeros of the derivative of a p-adic meromorphic function

Zeros of the derivative of a p-adic meromorphic function

... many zeros and so does V ...Proof of Corollary 1: Suppose f 0 − b has finitely many ...Proof of Corollary 2: Indeed, if k = 1, the statement just comes from Theorem ...a of order n of f ... Voir le document complet

10

Small scale reduction of argentiferous galena: first experimental approach to ores assaying techniques

Small scale reduction of argentiferous galena: first experimental approach to ores assaying techniques

... the first session, so we kept the procedure for the following ...because of the significant difference in hardness between galena ...importance of sampling, of the representativeness of ... Voir le document complet

7

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

... values of the discriminants of the CM- fields of class number one, under the assumption of the generalized Riemann ...generalization of Odlyzko ([Odl]), Stark ([Sta]) and Bessassi’s ... Voir le document complet

16

Location of neonatal microglia drives small extracellular vesicles content and biological functions in vitro

Location of neonatal microglia drives small extracellular vesicles content and biological functions in vitro

... database of Rattus norvegicus (Uniprot, release April 2017, 7983 ...maximum of missed cleavages allowed was two, in addition to oxidation of methionine and N- terminal protein acetylation selected as ... Voir le document complet

20

Deflation and Certified Isolation of Singular Zeros of Polynomial Systems

Deflation and Certified Isolation of Singular Zeros of Polynomial Systems

... Indeed, applying Theorem 5.1 with Z ′ = Z ×[−.04, .04] 4 and (ζ ∗ , 0, .., 0) we get an inclusion V (g, Z ′ , ζ ∗ ) ⊆ Z ◦ ′ . 2 6. GEOMETRY AROUND A SINGULARITY As a final step in analyzing isolated singularities, we ... Voir le document complet

10

Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implemented

Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implemented

... multiplicities of zeros into account, and to prove Asser- tion 3a in Theorem ...analysis of linear combinations of the n first eigenfunctions by that of their Slater determinant ... Voir le document complet

24

Extensions of the Bloch–Pólya theorem on the number of real zeros of polynomials

Extensions of the Bloch–Pólya theorem on the number of real zeros of polynomials

... distinct real zeros of odd multiplicity. (Schur [13] claims they do it for polynomials with coefficients only from {−1, 1}, but this appears to be incorrect.) In a seminal paper Littlewood and Offord [11] ... Voir le document complet

8

Relation between small functions with differential polynomials generated by meromorphic solutions of higher order linear differential equations

Relation between small functions with differential polynomials generated by meromorphic solutions of higher order linear differential equations

... improvement of the recent article of the authors [14] from usual order to iterated ...purpose of this paper is to study the growth and oscillation of the differential polynomial ...solutions ... Voir le document complet

15

Hidden Markov models for time series of counts with excess zeros

Hidden Markov models for time series of counts with excess zeros

... series of count data occur quite often and in various fields such as history, economy or ...series of count data are hidden Markov models (HMM ...context of the presumed existence of several ... Voir le document complet

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