Distribution of values of Fourier coefficients for modular forms of weight 1

DOI10.1007/BF02358541zbMath0899.11019OpenAlexW2036007467MaRDI QIDQ1376896

Oleg M. Fomenko

Publication date: 24 September 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02358541

zbMATH Keywords

cusp formFourier coefficientdistribution of valuesmodular forms of weight oneJFM 43.0278.02theta series of a positive definite primitive binary quadratic form

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Principal forms \(X^2+nY^2\) representing many integers

Cites Work

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• Sums of powers of cusp form coefficients. II
• Über die Summe \(\sum_{n \leqq x}\varphi(f(n))\) und verwandte Probleme
• On the absolute value of Ramanujan's \(\tau\)-function
• On the meromorphy of Euler products
• On Linnik's problem
• The structure of the number of representations function in a positive binary quadratic form
• Die Verteilung der ganzen Zahlen, die durch quadratische Formen dargestellt werden
• Summation of multiplicative functions of polynomials
• On the number of divisors of quadratic polynomials
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
• The Hoheisel Phenomenon for Generalized Dirichlet Series
• Cusp forms of weight one, quartic reciprocity and elliptic curves
• The Divisors of a Quadratic Polynomial
• Higher reciprocity law, modular forms of weight 1 and elliptic curves
• A family of newforms
• On Certain L-Functions
• Scalar product of L-functions with Grössencharacters: its meromorphic continuation and natural boundary.
• On norms of integers in a full module of an algebraic number field and the distribution of values of binary integral quadratic forms
• Variations on a Theorem of Landau. Part I
• A generalization of a theorem of Landau
• What is a Reciprocity Law?
• The Distribution of Integers Represented by Quadratic Forms
• On the Sum ∑k=1xd(f(k))
• The distribution of integers represented by binary quadratic forms

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