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Displaying 1481 – 1500 of 2107

Siegel's Modular Forms and the Arithmetic of Quadratic Forms.

Hiroyuki Yoshida (1980)

Inventiones mathematicae

Siegelsche Modulfunktionen.

Eberhard Freitag (1977)

Jahresbericht der Deutschen Mathematiker-Vereinigung

Sign changes of certain arithmetical function at prime powers

Rishabh Agnihotri, Kalyan Chakraborty (2021)

Czechoslovak Mathematical Journal

We examine an arithmetical function defined by recursion relations on the sequence ${f (p^{k})}_{k \in ℕ}$ and obtain sufficient condition(s) for the sequence to change sign infinitely often. As an application we give criteria for infinitely many sign changes of Chebyshev polynomials and that of sequence formed by the Fourier coefficients of a cusp form.

Signature defects of Hilbert-Picard modular cusps.

Shoetsu Ogata (1993)

Mathematische Zeitschrift

Simple zeros of degree 2 $L$ -functions

Andrew R. Booker (2016)

Journal of the European Mathematical Society

We prove that the complete $L$ -functions of classical holomorphic newforms have infinitely many simple zeros.

Simple zeros of the Ramanujan ...-Dirichlet series.

J.B. Conrey, A. Ghosh (1988)

Inventiones mathematicae

Singular Holomorphic Representations and Singular Modular Forms.

Hans Plesner Jakobsen, Michael Harris (1982)

Mathematische Annalen

Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).

David R. Dorman (1989)

Mathematische Annalen

${SL}_{3} (𝔽_{2})$ -extensions of $ℚ$ and arithmetic cohomology modulo 2.

Ash, Avner, Pollack, David, Soares, Dayna (2004)

Experimental Mathematics

Slopes of modular forms and congruences

Douglas L. Ulmer (1996)

Annales de l'institut Fourier

Our aim in this paper is to prove congruences between on the one hand certain eigenforms of level $p N$ and weight greater than 2 and on the other hand twists of eigenforms of level $p N$ and weight 2. One knows a priori that such congruences exist; the novelty here is that we determine the character of the form of weight 2 and the twist in terms of the slope of the higher weight form, i.e., in terms of the valuation of its eigenvalue for $U_{p}$ . Curiously, we also find a relation between the leading terms of...