Analytic number theory in honor of helmut maier 13 birthday


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MR [11] N. MR [12] L. Dickson, Theorems and tables on the sum of the divisors of a number , Q. Debrecen 4 , — MR [16] P.

Analytic Number Theory around Torsion Homology

MR [20] P. MR [22] P. Pomerance , and C.

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Selfridge , What drives an aliquot sequence? Collection of articles dedicated to Derrick Henry Lehmer on the occasion of his seventieth birthday.


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London Mathematical Society Monographs, No. Number Theory , no.

Steklov Mathematical Institute

Monthly 82 , Solution by the proposer , op. MR [34] Paul Pollack, Remarks on fibers of the sum-of-divisors function , in Analytic number theory in honor of Helmut Maier's 60th birthday , M.

Sesiano , Two problems of number theory in Islamic times , Arch.


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Sloane, On-line encyclopedia of integer sequences , http: Sequence A; gp script by Michael Marcus online at http: Translated from the second French edition by C. MR [44] H.

Professor Glyn Harman

Mathematical Centre Tracts, No. Vaughan , The Hardy-Littlewood method , 2nd ed. Avidon, On the distribution of primitive abundant numbers , Acta Arith. MR [4] R. Harman, Shifted primes without large prime factors , Acta Arith.

Papers / Articles

MR [5] William D. Catalan, Propositions et questions diverses , Bull. France 16 , French. Debrecen 4 , MR [17] P.

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Abdollahpour Hyers-Ulam stability of hypergeometric differential equations , Aequationes Mathematicae to appear. Yang Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function , Annals of Functional Analysis, 9 2 , Maier Asymptotics for moments of certain cotangent sums for arbitrary exponents , Houston Journal of Mathematics, 43 4 , — Jung Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation , Journal of Mathematical Inequalities, 12 1 , 43— From a cotangent sum to a generalized totient function , Applicable Analysis and Discrete Mathematics, 11 , — Maier The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals , Applicable Analysis and Discrete Mathematics, 11 , — Maier Asymptotics for moments of certain cotangent sums , Houston Journal of Mathematics, 43 1 , Yang Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function , Advances in Operator Theory, 2 3 , Maier Large gaps between consecutive prime numbers containing perfect k-th powers of prime numbers , Journal of Functional Analysis, Maier The ternary Goldbach problem with a prime and two isolated primes , Proceedings of the Steklov Institute of Mathematics, , Also translated in Russian and published in Trudy Matematich.

Steklova, , Maier Generalizations of a cotangent sum associated to the Estermann zeta function , Communications in Contemporary Mathematics, 18 1 , 89 pages, DOI: Aghayaria Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions , Journal of Mathematical Analysis and Applications, , Maier The rate of growth of moments of certain cotangent sums , Aequationes Mathematicae, 90 3 , Maier Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers , Proceedings of the American Mathematical Society, , - Yang On a Hardy-Hilbert-type inequality with a general homogeneous kernel , International Journal of Nonlinear Analysis and Applications, 7 1 , Maier The order of magnitude for moments for certain cotangent sums , Journal of Mathematical Analysis and Applications, 1 , Yang A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the Beta function , Journal of Mathematical Analysis and Applications, 2 ,

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