Siegfried Boecherer

activity

19952024

most citedOn theta series attached to maximal lattices and their adjoints

6 citations · 11 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2024

Congruences for Siegel modular forms of nonquadratic nebentypus mod $p$

Siegfried Boecherer, Toshiyuki Kikuta

We prove that weights of two Siegel modular forms of nonquadratic nebentypus should satisfy some congruence relations if these modular forms are congruent to each other. Applying t…

math.NT2023

On $p$ -adic Siegel Eisenstein series from a point of view of the theory of mod $p^{m}$ singular forms

Siegfried Boecherer, Toshiyuki Kikuta

We show that the $p$ -adic Siegel Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level $p$ , by ap…

math.NT2023

Structure theorem for mod $p^{m}$ singular Siegel modular forms

Siegfried Boecherer, Toshiyuki Kikuta

We prove that all mod $p^{m}$ singular forms of level $N$ , degree $n + r$ , and $p$ -rank $r$ with $n \geq r$ are congruent mod $p^{m}$ to linear combinations of theta series of degree $r$ a…

math.NT2016★ 3 cited

Weights of the mod $p$ kernel of the theta operators

Siegfried Boecherer, Toshiyuki Kikuta, Sho Takemori

We give some relations between the weights and the prime $p$ of elements of the mod $p$ kernel of the generalized theta operator $Θ^{[j]}$ . In order to construct examples of the mo…

math.NT2013★ 2 cited

On mod $p$ singular modular forms

Siegfried Böcherer, Toshiyuki Kikuta

We show that an elliptic modular form with integral Fourier coefficients in a number field $K$ , for which all but finitely many coefficients are divisible by a prime ideal $\frak{p…

math.NT2013

On p-adic properties of Siegel modular forms

Siegfried Boecherer, Shoyu Nagaoka

We show that Siegel modular forms of level Γ_0(p^m) are p-adic modular forms. Moreover we show that derivatives of such Siegel modular forms are p-adic. Parts of our results are al…

math.NT2010

Yoshida lifts and Selmer groups

Siegfried Böcherer, Neil Dummigan, Rainer Schulze-Pillot

Let $f$ and $g$ , of weights $k^{'} > k \geq 2$ , be normalised newforms for $Γ_{0} (N)$ , for square-free $N > 1$ , such that, for each Atkin-Lehner involution, the eigenvalues of $f$ and $g$ ar…

math.NT2009★ 6 cited

On theta series attached to maximal lattices and their adjoints

Siegfried Boecherer, Gabriele Nebe

The space spanned by theta series of adjoints of maximal even lattices of exact level $N$ and determinant $N^{2}$ has the Weierstrass property and hence allows to define extremality…

math.NT1995

Siegel Modular Forms and Theta Series attached to quaternion algebras II

Siegfried Böcherer, Rainer Schulze-Pillot

We continue our study of Yoshida's lifting, which associates to a pair of automorphic forms on the adelic multiplicative group of a quaternion algebra a Siegel modular form of degr…

Congruences for Siegel modular forms of nonquadratic nebentypus mod p

On p-adic Siegel Eisenstein series from a point of view of the theory of mod pm singular forms

Structure theorem for mod pm singular Siegel modular forms

Weights of the mod p kernel of the theta operators

On mod p singular modular forms

On p-adic properties of Siegel modular forms

Yoshida lifts and Selmer groups

On theta series attached to maximal lattices and their adjoints

Siegel Modular Forms and Theta Series attached to quaternion algebras II

Congruences for Siegel modular forms of nonquadratic nebentypus mod $p$

On $p$ -adic Siegel Eisenstein series from a point of view of the theory of mod $p^{m}$ singular forms

Structure theorem for mod $p^{m}$ singular Siegel modular forms

Weights of the mod $p$ kernel of the theta operators

On mod $p$ singular modular forms