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Universality of Dirichlet L-functions with shifted characters
Published 2004-12-01Subjects: “…Dirichlet L-functions…”
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The estimate of fractional moments for Dirichlet L-functions
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Uniqueness of L-Functions Concerning Certain Differential Polynomials
Published 2018-01-01“…Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. …”
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Estimating 𝐿-Functionals for Heavy-Tailed Distributions and Application
Published 2010-01-01“…𝐿-functionals summarize numerous statistical parameters and actuarial risk measures. …”
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Doubling constructions and tensor product L-functions: coverings of the symplectic group
Published 2025-01-01“…In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $\operatorname {\mathrm {Sp}}_{2n}$ and $\tau $ of a certain covering group of $\operatorname {\mathrm {GL}}_k$ , with arbitrary m, n and k. …”
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A weighted discrete universality theorem for L-functions of elliptic curves
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On Multiple Twisted p-adic q-Euler ζ-Functions and l-Functions
Published 2008-01-01“…We give the existence of multiple twisted p-adic q-Euler ζ-functions and l-functions, which are generalization of the twisted p-adic (h,q)-zeta functions and twisted p-adic (h,q)-Euler l-functions in the work of Ozden and Simsek (2008).…”
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EFFECT OF BIDARA LEAF EXTRACT (Ziziphus Mauritiana L.) ON THE FUNCTION OF THE PANCREAS OF MALE WISTAR STRAIN RATS IN REDUCING BLOOD SUGAR LEVELS
Published 2024-07-01Subjects: “…bidara leaf extract (ziziphus mauritiana l.), function of the pancreas of male wistar rats, blood sugar levels…”
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The correction of analyticity domain of some modified L-series
Published 2001-12-01“… The reseaches in analyticity of the modified L-functions are surveyed in the paper. The correction of earlier result is made. …”
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Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function
Published 2025-01-01“…This discrete universality has been extended to various zeta-functions and L-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions. …”
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Evaluations of a Weighted Average of Gauss Sums
Published 2021-01-01“…By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the special values of Dirichlet L-functions at positive integers.…”
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Transcendence of $L(1,\chi _s)/\Pi $ in positive characteristic. A simple automata-style proof
Published 2023-07-01“…Goss defined $L(s,\chi )$, analogs of Dirichlet $L$-functions. G. Damamme proved in 1999 the transcendence of $L(1,\chi _s)/\Pi $ via a criterion of de Mathan. …”
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Average Analytic Ranks of Elliptic Curves over Number Fields
Published 2025-01-01“…In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the Generalized Riemann Hypothesis, we show that the average analytic rank of isomorphism classes of elliptic curves over K is bounded above by $(9\deg (K)+1)/2$ , when ordered by naive height. …”
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Toeplitz operators with BMO symbols and the Berezin transform
Published 2003-01-01“…This result extends the known results in the cases when the symbol is either a positive L1-function or an L∞ function.…”
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High-Dimensional D. H. Lehmer Problem over Quarter Intervals
Published 2014-01-01“…By using the properties of character sum and the estimates of Dirichlet L-function, the previous result is improved to be the best possible in the case of q = p, an odd prime with p≡1(mod 4), which is shown by studying the mean square value of the error term.…”
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Identities of Symmetry for Higher-Order Generalized q-Euler Polynomials
Published 2014-01-01“…We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers. …”
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The vanishing of anticyclotomic $\mu $-invariants for non-ordinary modular forms
Published 2023-01-01“…We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic $\mathbb{Z}_p$-extension of $K$, showing that one inclusion of an Iwasawa main conjecture involving the $p$-adic $L$-function of Bertolini–Darmon–Prasanna implies that their $\mu $-invariants vanish. …”
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Kaplansky's ternary quadratic form
Published 2001-01-01“…The proof is modelled on that of a similar theorem by Ono and Soundararajan, in which relations between the number of representations of an integer np2 by two quadratic forms in the same genus, the pth coefficient of an L-function of a suitable elliptic curve, and the class number formula prove the theorem for large primes, leaving 3 cases which are easily numerically verified.…”
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